Academia.eduAcademia.edu
STRUCTURAL BAMBOO DESIGN IN EAST AFRICA by EVAN T. MYERS A REPORT submitted in partial fulfillment of the requirements for the degree MASTER OF SCIENCE Department of Architectural Engineering and Construction Science College of Engineering KANSAS STATE UNIVERSITY Manhattan, Kansas 2013 Approved by: Major Professor Kimberly Waggle Kramer, P.E., S.E. Abstract This document addresses East Africa‟s need for safe, sustainable, and affordable housing and promotes use of bamboo as a structural material by providing adequate information and resources to evaluate the strength of bamboo. East African housing is a leading issue for the region because of the population growth, specifically in urban areas where housing resources and infrastructure cannot match the population growth. The solution may be bamboo housing as an alternative to urban slums. The bamboo species Oxytenanthera abyssinica is available throughout East Africa region and has been accepted and implemented in traditional housing throughout the region. This document references the resources provided by the International Code Council (ICC), International Organization for Standardizations (ISO), and International Network for Bamboo and Rattan (INBAR) for the use of bamboo as a structural material in buildings. This paper also discusses the mechanical strength of bamboo, and the structural behavior of bamboo in buildings. In addition, bamboo construction shows the tools, connections, and preservatives used in the field. The design example, using Oxytenanthera abyssinica, provides the traditional layout and materials for an Amhara house, and calculations show the practicality of bamboo in structural design. This document has led to recommendations for engineers and the bamboo industry, including the development of a codebook for bamboo design, promoting bamboo farms and plantations, creating a uniform connection, and increasing bamboo‟s service life. From research, bamboo is in need of further development before being considered a viable structural material to provide for commercial use but would suffice for the housing shortage in East Africa. Table of Contents List of Figures ................................................................................................................................. v List of Tables ................................................................................................................................. vi List of Abbreviations .................................................................................................................... vii Glossary ....................................................................................................................................... viii Acknowledgements ........................................................................................................................ ix Dedication ....................................................................................................................................... x Chapter 1 - Introduction .................................................................................................................. 1 Chapter 2 - East Africa and Bamboo .............................................................................................. 2 Need for Housing in East Africa................................................................................................. 2 Availability and Acceptance ....................................................................................................... 2 Chapter 3 - Bamboo as a Structural Material.................................................................................. 4 Design Provisions ....................................................................................................................... 4 Acceptance Criteria ................................................................................................................. 5 ISO 22156 ............................................................................................................................... 5 Empirical Design .................................................................................................................... 6 Mechanical Properties................................................................................................................. 8 Tension .................................................................................................................................... 8 Compression ........................................................................................................................... 9 Bending & Shear ................................................................................................................... 11 Modulus of Elasticity ............................................................................................................ 12 General Properties and Failures ............................................................................................ 12 Behavior .................................................................................................................................... 12 P-δ Effects ............................................................................................................................. 13 Seismic .................................................................................................................................. 14 Chapter 4 - Bamboo Construction ................................................................................................ 18 Tools ......................................................................................................................................... 18 iii Connections .............................................................................................................................. 20 Preservatives ............................................................................................................................. 25 Traditional ............................................................................................................................. 25 Chemical ............................................................................................................................... 26 Chapter 5 - Bamboo Design Example .......................................................................................... 28 Loads ......................................................................................................................................... 29 Materials & Layout ................................................................................................................... 30 Bamboo Specification ........................................................................................................... 30 Roof....................................................................................................................................... 31 Walls ..................................................................................................................................... 32 Columns ................................................................................................................................ 33 Braces .................................................................................................................................... 33 Member Sizes........................................................................................................................ 34 Floor & Foundation............................................................................................................... 34 Connections........................................................................................................................... 34 Additional Considerations .................................................................................................... 35 Bill of Materials .................................................................................................................... 35 Drawings ............................................................................................................................... 36 Chapter 6 - Recommendations ...................................................................................................... 45 Standards ................................................................................................................................... 45 Farms & Plantations.................................................................................................................. 45 Connections .............................................................................................................................. 46 Service Life ............................................................................................................................... 46 Chapter 7 - Conclusion ................................................................................................................. 47 References ..................................................................................................................................... 49 Appendix A-Calculations.............................................................................................................. 54 Appendix B – Additional Connections ....................................................................................... 169 Appendix C - Glued-Wood Fitting Connection .......................................................................... 174 Appendix D – Source Permission ............................................................................................... 177 iv List of Figures Figure 3.1 Compression Failure Modes ........................................................................................ 10 Figure 3.2 Governing Failure Mode ............................................................................................. 11 Figure 3.3 Modified Mercalli Scale for Seismic Activity in East Africa ..................................... 15 Figure 3.4 Undamaged Bamboo Structure.................................................................................... 16 Figure 4.1 Tools for Bamboo Construction .................................................................................. 19 Figure 4.2 Lashing Connections ................................................................................................... 21 Figure 4.3 Glued-Wood Fitting Connection ................................................................................. 23 Figure 4.4 Grout-Filled Connection with Steel Rebar .................................................................. 24 Figure 5.1 Similar Housing in East Africa.................................................................................... 28 Figure 5.2 Traditional Amhara House in East Africa ................................................................... 29 Figure 5.3 Measurement of Oxytenanthera abyssinica ................................................................ 31 Figure 5.4 Half-fink Truss Dimensions from Design Example .................................................... 32 Figure B.1 PVC Type Fittings .................................................................................................... 169 Figure B.2 Combination Connections with Pins and Lashing .................................................... 169 Figure B.3 Threaded Bolt Connections ...................................................................................... 170 Figure B.4 Cable Tie Mount Connection .................................................................................... 170 Figure B.5 Adhesive Connection ................................................................................................ 170 Figure B.6 Clamping Connections .............................................................................................. 171 Figure B.7 Steel Wire and Clamping Connection ...................................................................... 171 Figure B.8 Double Post Connection ........................................................................................... 171 Figure B.9 Drilled Hole Lashing Connection ............................................................................. 172 Figure B.10 Further Bamboo Lashing Connections ................................................................... 172 Figure B.11 Bolt and Pin Connections ....................................................................................... 173 Figure C.1 Glued-Wood Fitting with Steel Plate Connection .................................................... 174 Figure C.2 Steel Plates Welded to Steel Ring Connection ......................................................... 174 Figure C.3 Glued-Wood Fitting with Steel Plates, Welded Connection .................................... 175 Figure C.4 Glued-Wood Fitting with Steel Plates Connected to the Foundation ....................... 175 Figure C.5 Glued-Wood Fitting with Steel Plate and Pin Bundle .............................................. 176 Figure C.6 Wood Fitting with Steel Plate and Pin Bundle ......................................................... 176 v List of Tables Table 5.1 Loads ............................................................................................................................. 30 Table 5.2 Member Sizes ............................................................................................................... 34 Table 5.3 Bill of Materials List ..................................................................................................... 35 vi List of Abbreviations Bending ........................................................................................................................................... B Compression ................................................................................................................................... C Density ............................................................................................................................................ ρ Effective Length Factor ................................................................................................................. K Length of Member .......................................................................................................................... l Radius of Gyration .......................................................................................................................... r Shear ............................................................................................................................................... V Slenderness (Kl/r) ........................................................................................................................... λ Allowable Stress Design ........................................................................................................... ASD American Society for Testing and Materials ........................................................................ ASTM American Society of Civil Engineers .................................................................................... ASCE International Building Code ....................................................................................................... IBC International Code Council ........................................................................................................ ICC International Network for Bamboo and Rattan ..................................................................... INBAR International Organization for Standardizations ........................................................................ ISO Pascal ............................................................................................................................... Pa (N/m2) Peak Ground Acceleration ........................................................................................................ PGA United States Geological Survey ........................................................................................... USGS vii Glossary Bernoulli‟s Theorem (n.): flat cross-sections remain flat Buckling (n.): instability in a slender column under axial loads Culm (n.): main portion of bamboo member Drawing Details (n.): an illustration used to describe construction components and assembly Hectare (n.): one thousand square meters Joint (n.): connection between two or more structural elements Mega (prefix): one million (106) Node (n.): region in bamboo culm where branches sprout and a diaphragm forms inside the culm Ultimate Limit States (n.): associated with collapse or other forms of structural failure, which may endanger the safety of people such as deformations Serviceability Limit States (n.): associated with states beyond which the specified service criteria such as deflections are no longer met Service Life (n.): length of time the building is used for its intended purpose viii Acknowledgements I want to recognize Professor Kimberly Kramer for her guidance, inspiration, and care. For this, I owe Kimberly a great deal; she is the epitome of a great professor. Kimberly, thank you for your hard work and dedication to students and structural engineering. ix Dedication I dedicate this to my Lord and Savior, Jesus Christ, who has given me the strength to finish well. The verse below has continued to resound in my life. Whatever you do, work at it with all your heart, as working for the Lord, not for men, since you know that you will receive an inheritance from the Lord, as a reward. It is the Lord Christ you are serving. Colossians 3:23-24 I also dedicate this to my parents, Kevin and Cheryl Myers, who have continually supported my endeavors. I love you and it is an honor to be your son. As the Lord has allowed me to stand, you have allowed me to walk. x Chapter 1 - Introduction This report addresses East Africa‟s need for safe, sustainable, and affordable housing and aims to increase awareness of bamboo as a structural material. East African housing is a regional issue because of the population growth, specifically in urban areas where housing resources and infrastructure cannot match the population growth. Bamboo housing may provide an alternative to urban slums, and the bamboo species Oxytenanthera abyssinica is available throughout East Africa and along with other species, has been accepted and implemented in traditional, rural housing throughout the region. This report investigates bamboo manuals and technical information, mechanical properties, and behavior to determine and promote bamboo feasibility as a structural material. Manuals for bamboo include the International Code Council‟s (ICC) Acceptance Criteria and International Organization for Standardizations (ISO) 22156, which provide information on testing, equations, and general considerations for the use of bamboo as a structural material. Empirical design provides an introduction to basic guidelines and equations for preliminary guidance in design of bamboo structures. Bamboo‟s mechanical properties show quantitative strength and qualitative behavior of the material, in general and for the species Oxytenanthera abyssinica, used for the design example in this report. For bamboo, P-δ effects and seismic activity have an impact on the structural design and are discussed in order to develop an understanding of bamboo structural behavior and performance. Thus, technical information, mechanical properties, and behavior indicate bamboo's ability as a structural material to adequately support a building. Bamboo construction, the bamboo design example, and recommendations develop bamboo‟s feasibility for structural design and construction. Bamboo requires an understanding of its physical make-up and construction in order to safely design a structure. The bamboo design example reveals difficulties and capabilities of bamboo structural design. aforementioned items are used to evaluate bamboo‟s feasibility as a structural material. 1 The Chapter 2 - East Africa and Bamboo This chapter discusses the need for housing in East Africa and the availability and acceptance of bamboo in that region. This section also explains the goal of this document, to promote bamboo as a structural material. East Africa‟s need for housing continues to rise because of an exploding population and little means to provide housing. The availability and acceptance of bamboo in East Africa is discussed in order to determine the feasibility of structural bamboo design. Need for Housing in East Africa International Network for Bamboo and Rattan (INBAR) has developed several documents that address the housing problem in East Africa. Housing issues in East Africa are a result of the population explosion, unaffordable housing, and inability of the housing supply to (Kibwage, Frith, and Paudel, 2011). Shyam Paudel, author of several INBAR documents, has determined slums are an issue due to the current rate of urbanization and the population growth rate (Paudel, 2011). These slums are dangerous for the people living in the area because of overcrowding, inadequate care, and underdevelopment. Ethiopia is the model country in East Africa for the current housing crisis where approximately 85% of the urban population lives in unsatisfactory conditions. These poor living conditions need addressed or will worsen as the expected rate of population growth and urbanization increase in Ethiopia (Kibwage et al., 2011). The issue with housing in East Africa requires a solution; bamboo could provide a safe, sustainable, and cost-effective option as a structural material for housing. East Africa must decrease the housing deficit and provide housing that promotes care and cleanliness. Availability and Acceptance A region‟s availability and acceptance of a material dictates usage in that region. Availability is the measure of how easily accessible the commodity is in the region; acceptance, in this case, is the willingness to use the material. An available and accepted resource can minimize transportation costs that otherwise negate benefits of an alternative material over other local materials. Availability and acceptance of bamboo must be identified in order to determine the feasibility of bamboo as a structural material in East Africa. 2 As previously determined by researchers, three percent of the world‟s bamboo grows in Africa (van der Lugt, Dobbelsteen, & Janssen, 2006; Adams, 1997). Bamboo grows in the highlands and lowlands of the East African region, and the country of Ethiopia has 850,000 hectares of the lowland bamboo species Oxytenanthera abyssinica. A hectare is one thousand square meters and equal to 2.47 acres. Therefore, Ethiopia has a resource of Oxytenanthera abyssinica that would cover 10% of the state of Kansas (Kansas, 2010). Oxytenanthera abyssinica is available throughout eastern and western Africa, in a variety of environments (United Nations Industrial Development Organization [UNIDO],2009). Oxytenanthera abyssinica thrives in East Africa from Ethiopia to Malawi, Zambia, and Zimbabwe (UNIDO, 2009). Although bamboo is widely available in East Africa, overuse has become an issue in the regional bamboo industry for several years. Overuse of bamboo has caused the establishment of organizations, such as the East African Bamboo Project (EABP) and INBAR, in the region in order to facilitate growth in the bamboo population after years of depletion (Ababa, 2012). Availability of bamboo will continue with programs and farms to encourage its growth in East Africa. The acceptance of bamboo as a structural material in East Africa is evident through its use in indigenous and low-income housing. Bamboo housing in East Africa is not engineered, but highly refined due to the tradition of building with bamboo in the region (Kibwage et al., 2011). Thus, the acceptance of bamboo in the East African culture has been established through tradition but has not infiltrated the middle and upper-class because of the negative connotation towards bamboo, known as the “poor man‟s” material. The ability to integrate engineering and traditional practices will beneficially remove the cultural stigma towards bamboo and allow for the design of safe, affordable, and sustainable bamboo structures in East Africa. 3 Chapter 3 - Bamboo as a Structural Material In this section, design provisions, mechanical properties, and bamboo behavior are discussed in order to develop the feasibility of bamboo as a structural material. These topics provide a brief overview of structural bamboo design. Bamboo is used in a variety of applications for structural purposes, ranging from indigenous housing to commercial buildings. A summary of the design provisions is included, providing guidance for structural engineers guidance while working with bamboo. Bamboo‟s mechanical properties discussed are based on testing of a variety of species and specifically, the species Oxytenanthera abyssinica. In addition, general failure modes of bamboo are discussed, and bamboo structural behavior is analyzed to determine bamboo performance during extreme load cases. Design Provisions Technical documents describe the benefits, uses, and equations for structural materials. A structural codebook for bamboo does not exist, but the first manual for bamboo design was published in 2000 with the ICC‟s technical document titled Acceptance Criteria for Structural Bamboo, and the second in 2001 with the ISO‟s document Bamboo Structural Design (ISO 22156). The ICC‟s document defines codes and references to use during structural bamboo design and procedures for testing. The ISO document, referred to as ISO 22156, was created to centralize the suggestions of researchers. ISO 22156 is not an international standard, but a step in the recognition of bamboo by other agencies as a structural material and creation of a codebook for design. ISO 22156 has suggestions for design and drawing details to provide adequate guidance essential for proper bamboo structural design. ISO 22156 is summarized to increase understanding of requirements for designing bamboo structures. Traditional knowledge can provide adequate design of bamboo structures, but structural engineering occurs when the engineer verifies the loads on a building and executes a safe, affordable, and sustainable design. Generally, a material has a codebook governing the structural design, which has information regarding equations, detail guidelines, and construction practices. Bamboo has a manual of guidelines, ISO 22156, and empirical design criteria to accommodate quality design practice but requires the development of a codebook to become a relevant structural material. 4 Acceptance Criteria The ICC document Acceptance Criteria for Structural Bamboo provides codes and references to use while designing bamboo structures, including the International Building Code (IBC), INBAR, and several American Society for Testing and Materials (ASTM) documents. The document primarily discusses bamboo testing and how to accurately perform tests. The ICC document also provides equations to determine allowable stresses considering factors in design such as the Load Duration and Adjustment Factors and Safety Factor in Allowable Stress Design (ASD) (International Code Council [ICC], 2012). These equations were not used in the design example because they are less conservative than the INBAR equations. ISO 22156 ISO 22156 is based on limit state design and bamboo structural performance. It includes requirements for mechanical resistance, serviceability, and durability of structures (International Organization for Standardization [ISO], 2001). The ISO document does not develop specific requirements for bamboo structural design but introduces generalities to promote safe and quality design. A bamboo structure must serve the intended purpose of the building with regard to service life, cost, and durability. Damage incurred by events such as explosions, impacts, extreme weather, or consequences of human error must be proportional to the event and not greater. Potential damage from the aforementioned events must be mitigated by one of the following strategies in the structural design:   Decreasing the likelihood of hazards.  Transferring forces when accidental removal of an element occurs.  Providing a form with a high degree of resistance to hazards. Retaining continuity. Bamboo construction concepts are based on calculations, knowledge from previous generations, and reports. General calculations are discussed in the empirical design section and further calculations are shown in Appendix A. ISO 22156 defines standard requirements as, “Experience from previous generations, well preserved in a local tradition, and carefully transmitted to people living today. This expertise can be considered as an informal, non-codified „standard.‟” Design and construction practices must be generally known, accepted, and viewed 5 as wisdom by the local authority. ISO 22156 defines applicable cases as those in which, “The community shall be characterized by an undisturbed social structure, with a well-recognized social pattern.” These practices are not valid after the community migrates, unless applied in comparable conditions. Disaster reports of quantitative magnitude that analyze successful bamboo structures with full details and information may be applied to similar instances in the future. ISO 22156 requires the disaster report receive recognition from engineers with experience in bamboo structural design and the international technical community in order to verify the report‟s accuracy and reliability. Design requirements include checking all limit states and load cases. An accurate design model must be created to perform calculations, and the limit states and load cases must comply with national standards. For design purposes, bamboo culms are tapered, hollow tubes with differing thickness and minimal eccentricity. In bamboo design, the structural engineer should treat joints or supports as hinges, use conventional structural analysis, use Bernoulli‟s theorem, and use Euler‟s buckling. Air-dried bamboo must be used for construction with the structure designed and detailed in such a way as to keep the bamboo dry and allow wet bamboo to dry. This measure protects bamboo from deteriorating and developing structural inadequacies in-situ. The construction process shall be monitored to verify assumptions made during the design phase and validate the design as sufficient. All bamboo projects must meet these requirements with adequate specifications, detailing, production, construction, and compliance with ISO 22156 (ISO, 2001). This description of ISO 22156 refers to key points for design and construction of structural bamboo. The document is purely descriptive, not prescriptive in the guidelines and does not provide values or equations for the design process. Empirical Design Several empirical design criteria and guidelines for bamboo structures have been developed in order to use bamboo in structural design. The empirical design criteria for bamboo strength require the density of the species analyzed (Janssen, 2000). The equations below pertain to air-dried bamboo in compression (C), bending (B), shear (V), modulus of elasticity (E), slenderness (λ), and deflection (δ). These equations relate to the density (ρ in kg/m3) and safety 6 factor (Ω) for allowable stresses (MPa=N/mm2). These equations are used when the mechanical properties are unknown. C=0.094ρ (1) CALLOWABLE=0.094ρ/Ω (2) B=0.14ρ (3) BALLOWABLE=0.14ρ/Ω (4) V=0.021ρ (5) VALLOWABLE=0.021ρ/Ω (6) E=24ρ (7) λ=Kl/r ≤ 50 (8) δmax=l/300 (9) The determined compression, bending, and shear stresses are the primary stresses a bamboo member experiences in application. Tension stresses must also be considered in design; thus, an equation is necessary to determine allowable tension stresses for structural bamboo design. The modulus of elasticity, slenderness, and deflection also contribute to the structural design and can be attributed to the limit states involved. Allowable stresses are the calculated stresses divided by the safety factor. Research by Dr. Jules Janssen‟s indicates that the safety factor varies based upon testing quality and loadcases in order to account for the variance in bamboo culm diameter, thickness, degradation, and eccentricity (Janssen, 2000). The safety factor provides a conservative design approach for structural bamboo applications, and the equation presented by Dr. Janssen directly mirrors the ICC‟s allowable stress equation but has more conservative coefficients. The deflection guideline defined by Janssen in The Fundamentals of Bamboo is δmax=l/300, consequently preventing the designed members from experiencing extreme deformation and bending and allowing for continued serviceability of bamboo structures and their components (Janssen, 2000). The empirical design criteria provide a baseline for structural engineers to begin designing bamboo structures. These calculations allow engineers to produce a proposal before conducting formal testing on the specified bamboo species. The empirical design criteria do not replace or neglect the significance of quantitative mechanical properties determined from testing because without these properties, the engineer cannot accurately design a structure. However, these empirical design criteria provide further documentation of design parameters and 7 equations. Again, the next step for the bamboo industry is to provide a codebook or reference manual for structural design. Mechanical Properties Mechanical properties of bamboo vary depending on the analyzed species, therefore this section considers bamboo‟s mechanical properties, specifically Oxytenanthera abyssinica’s mechanical properties. Properties required for structural design and applications include tension, compression, bending, shear, and the modulus of elasticity. These mechanical properties provide the framework for bamboo‟s implementation in structural design. Mechanical properties, general properties, and failures are discussed in order to more fully understand bamboo behavior. Oxytenanthera abyssinica has a density of 778 kg/m3, a height ranging from five to fifteen meters, a diameter of three to ten centimeters, and intermodal lengths of fifteen to forty centimeters (Didier, Ngapgue, Mpessa, & Tatietse, 2012; Inada & Hall, 2008). Oxytenanthera abyssinica is defined as a solid bamboo with a completely solid base and nearly solid above the base (Kitil Farm, UNIDO, 2009). Since mechanical properties are dependent on the crosssectional area of the culm, the average diameter and wall thickness are required for design and will be discussed for the design example. Oxytenanthera abyssinica test results provide quantitative data for the mechanical properties. From Inada and Hall‟s technical document, the mechanical properties for Oxytenanthera abyssinica were determined at 47% moisture content, which is high for structural applications (Inada & Hall, 2008). Additional test results were used from Markos Alitos‟ research on Oxytenanthera abyssinica; thus, the most conservative value was taken for each mechanical property. Tension Tension forces are experienced in a variety of structural members, beams, truss-members, and others. All species of bamboo have high tensile strength, but bamboo has an advantage over other structural materials because of its dual strength in tension and compression (Trujillo, 2009). Thus, structural bamboo design must utilize the tensile strength of bamboo. The general tensile strength range is 35-230 MPa, and Oxytenanthera abyssinica‟s tensile strength is 127 MPa (Arce-Villalobos, 1993; Bhalla, 2008; Janssen, 2000; Kassa, 2009; Yu, Chung, & Chan, 2003; Alito, 2005). 8 Many parameters affect the tensile strength, including node placement, age, and moisture content. Based on Arce-Villalobos‟ research, tensile strength at the nodes is 80% of the tensile strength at the internodes (Arce-Villalobos, 1993). Peak tensile strength occurs from age three to four of the culm (Arce-Villalobos, 1993). The moisture content of the bamboo culm can dramatically impact the tensile strength of the bamboo, decreasing it by half in extreme cases (Yu & Chung, 2002). A brittle failure occurs in bamboo under tension, affecting design because engineers prefer members and systems to fail in a ductile manner (Arce-Villalobos, 1993). Compression The compressive strength of bamboo allows structural engineers to design columns, truss-members, and other compression members in bamboo structures. The general compressive strength parallel to bamboo‟s grain ranges from 27-176 MPa, with a majority of species‟ testing around 60 MPa (Arce-Villalobos, 1993; Bhalla, 2008; Sharma, 2011; Yu, Chung, & Chan, 2003). The compression strength of Oxytenanthera abyssinica is 40 MPa (Alito, 2005). Bamboo compressive strength increases with age, while nodes and moisture content do not affect compressive strength (Arce-Villalobos, 1993). Although Oxytenanthera abyssinica has a lower compressive strength, P-δ effects generally govern the structural design of bamboo compression members. Failure modes for compression are splitting and end bearing. Figure 3.1 shows splitting in a test specimen (Yu & Chung, 2002). Splitting is the primary failure mode for bamboo in a majority of load cases. In Chung and Yu‟s testing of the species Bambusa pervariabilis and Phyllostachys pubescens, most specimen‟s failed in end bearing resulting in crushing. This plays a key role in connection design, as discussed in Chapter 4. 9 Figure 3.1 Compression Failure Modes (Reproduced from K.F. Chung and W.K. Yu‟s Mechanical properties of structural bamboo for bamboo scaffoldings) Splitting occurs in bamboo because of tangential stresses induced by the circular shape of the bamboo culm (Arce-Villalobos, 1993). These stresses govern a majority of failures in bamboo, especially in compression members because bamboo is weak in perpendicular compression and tension (Trujillo, 2009). When maximum tangential stress is reached within the culm fibers, longitudinal splitting of the culm occurs. Maximum tangential strength is determined by bamboo‟s tangential modulus of elasticity, which is approximately one-eighth of the longitudinal modulus; for Oxytenanthera abyssinica the tangential strength is 1827 MPa (Arce-Villalobos, 1993; Didier et al., 2012). Arce-Villalobos found a majority axial stresses in bamboo culms are distributed to the outermost rings due to axial stiffness increasing from the inside to outside of the culm, as shown in Detail A of Figure 3.2. The distribution of axial stresses creates radial bending moments in the culm, as the outermost layers are in compression and the innermost layers are in tension as shown in Detail B of Figure 3.2. Compression on the outermost rings will force the culm to expand to the failure as shown in Detail C of Figure 3.2; when longitudinal cracking commences. Cracking may occur around the ring of the culm because of movement and interaction of the outermost and innermost rings (Arce-Villalobos, 1993). Yet, Oxytenanthera abyssinica is less susceptible to these stress concentrations because of its solid form, assuming minimal eccentricity (UNIDO, 2009). 10 Figure 3.2 Governing Failure Mode (Reproduced based upon figure in Arce-Villalobos‟ Fundamentals of the Design of Bamboo Structures) Bending & Shear Bamboo bending strength is critical to determine member size and span length. Bending strength of a bamboo member can be determined by the span. Shear governs for short members, and pure bending governs for long members, generally depending on load intensity, strength of the species, and span. Bending strength can be compromised because of stresses producing strain, which have a critical value of 1.1x10-3 for bamboo. The average tested bending strength of bamboo is 62 MPa (Janssen, 2000). The modulus of rupture indicates the ultimate strength of the a bamboo culm in bending, and Oxytenanthera abyssinica’s modulus of rupture is 82 MPa and shear strength is 11 MPa (Inada & Hall, 2008; Ahmad, 2000; Sharma, 2011). Bamboo failure modes for bending are local crushing and splitting (Yu & Chung, 2002; Janssen, 2000). For Chung and Yu‟s research, local crushing was a failure mode because the researchers carried out a single-point load bending test at the mid-point, instead of a three or four point bending test. Although the worst-case scenario, a single-point load will not occur often in application unless prescribed by the engineer. The typical failure mode for bending is splitting with the culm separating into four quarters, similar to Figure 3.1 (Janssen, 2000). 11 Modulus of Elasticity The modulus of elasticity of bamboo is significant because it indicates bamboo‟s flexibility and behavior. The modulus of elasticity helps predict the culm‟s change in length based on axial loading in tension or compression, and the modulus of elasticity is used to determine member deflection. The modulus of elasticity for tested bamboo species ranges from 2113-22000 MPa (Sharma, 2011; Yu, Chung, & Chan, 2003). INBAR conducted a study which found that the modulus of elasticity for air-dried bamboo can be estimated as twenty-four times the bamboo density, E=24ρ (Janssen, 2000). Therefore, Oxytenanthera abyssinica‟s modulus of elasticity could be taken as 18672 MPa (ρ=778 kg/m3), but the tested modulus of elasticity for Oxytenanthera abyssinica is 14617 MPa (Didier et al., 2012). Thus, structural engineers should use the latter value in design because the value is determined from testing and more conservative. 14617 MPa for the modulus of elasticity indicates Oxytenanthera abyssinica has a high resistance to deflection compared to other bamboo species yet provides flexibility (Ahmad, 2000). General Properties and Failures General properties and failures of bamboo in design include the inherent variation of culms and buckling. Culm variation contributes to the difficulty of designing bamboo structures and obtaining accurate quantitative data. Bamboo is weak because of variation in the crosssection, which can substantially impact the bending and axial stiffness of the culm (ArceVillalobos, 1993). Buckling occurs in bamboo culms because of bamboo culm‟s slenderness and curvature (Yu et al., 2003). Both qualities are avoidable through quality control and design checks throughout the design and construction process. Behavior Bamboo behavior depends on mechanical properties discussed in the previous section. P-δ effects and seismic behavior provide insight into the mechanical properties and performance of bamboo. These two behaviors can initiate complete failures of a structure if not accounted for in the design process. Thus, behavior of bamboo through P-δ effects and seismic events are paramount to understanding and safely designing bamboo structures. 12 P-δ Effects P-δ effects are secondary forces induced by initial eccentricity of a structural member and increase with increased axial loading. These secondary forces create additional bending stresses within the structural member experiencing the effects, thus creating instabilities leading to failure. Member slenderness contributes to P-δ effects because slenderness correlates with the member‟s ability to resist P-δ effects. The approach for resisting P-δ effects differs based on the structural material used by the engineer because mechanical properties influence material behavior during P-δ effects (Kramer, 2011). P-δ effects create bending stresses and can negate the compressive strength of bamboo (Arce-Villalobos, 1993). P-δ effects occur in bamboo because of initial eccentricity of the culm, and P-δ effects can detrimentally impact the integrity of bamboo structural members because of bamboo‟s flexibility. Bamboo has a tendency to buckle during P-δ effects due to the slenderness of the culms. Thus, bamboo member‟s maximum slenderness ratio is 50 or less (λ≤50) to avoid significant P-δ effects. Nodes within the culms weaken the structural integrity of the member in bending, but decrease the effect of buckling (Arce-Villalobos, 1993). Since creep is negligible in bamboo, initial P-δ effects of a member are not magnified (Janssen, 2000). Bamboo‟s flexibility and strength combination make initial deflection critical in design, but proper bracing design and details can decrease the impact of P-δ effects. Buckling, due to P-δ effects, is a significant consideration in structural bamboo design. The Euler buckling equation can be used for structural bamboo, which is similar to the Euler buckling equation for materials such as steel and wood. (Janssen, 2000). Arce-Villalobos determined the following assumptions to be adequate for buckling analysis of bamboo (ArceVillalobos, 1993): 1. The cross-section of the culm is a circular ring with a constant diameter and wall thickness. 2. The modulus of elasticity in the x-direction along the element is constant. 3. The angular modulus of elasticity is constant. 4. Deformations in bamboo are small. 5. Material is perfectly elastic. 13 These assumptions provide a basis for determining the stability of bamboo structural members and simplify the culm‟s complexity, and these assumptions are appropriate with the use of conservative design values. Seismic Seismic performance of structures in East Africa warrants consideration because of the high degree of seismic activity in the region. Figure 3.3 shows East African seismic activity and the intensity of this activity ranging from minimal to destructive, based on the Modified Mercalli Scale (The Modified Mercalli Intensity Scale). This section explains two seismic measuring systems and then briefly two seismic events in which bamboo structures performed in a pristine manner. The attributes contributing to bamboo‟s success during seismic events are listed in order to encourage the consideration of bamboo as a structural material. The Modified Mercalli Scale shown in Figure 3.3 is defined as a scale measuring magnitude of seismic events in relation to event effects. For example, few people at rest feel a Degree II seismic event, but during a Degree VIII seismic event, ordinarily designed structures experience extensive damage and seismically designed structures experience slight damage or partially collapse, in addition to overturning of heavy furniture (The Modified Mercalli Intensity Scale). Degree VIII governs for East Africa and was considered in the design example because as engineers, we must design for the worst-case scenario for the location. 14 Figure 3.3 Modified Mercalli Scale for Seismic Activity in East Africa (Reproduced from the United Nations Office for the Coordination of Humanitarian Affairs‟ [OCHA] Earthquake Risk in Africa: Modified Mercalli Scale) 15 The Richter Scale is another technique to substantiate a seismic event through quantitative results. The Richter Scale logarithmically measures the size of an earthquake comparatively to past earthquakes based on seismograph readings taken during the earthquake and translated to a Richter Scale magnitude. The Richter Scale determines magnitude based on seismograph readings, not damage (The Richter Magnitude Scale). In design, structural engineers use the spectral response acceleration to determine the forces experienced by a structure. The spectral response acceleration is derived from ASCE 7-10 based on data taken from past events at the project location. In the United States, ASCE 7-10 provides spectral response acceleration and equations for seismic design with a 2% probability of being exceeded in fifty years. Thus, a severe earthquake‟s maximum peak ground acceleration (PGA) will exceed the design capacity for the structure and may produce localized failures within a structure. Several studies reveal the impact of seismic loading on bamboo structures. The performance of a bamboo structure under seismic loading contributes to the degree of safety of the occupants, sustainability, and economics of the structure. Figures 3.4 shows bamboo performance during the 2006 Sikkim earthquake in India, which was a 5.7 magnitude event on the Richter Scale with a maximum peak ground acceleration of 0.036g. As noted in the caption, this bamboo structure was undamaged from the earthquake (Sharma, 2011; Shakemap usjdae_06: Peak Ground Acceleration, 2006). Figure 3.4 provides an example of bamboo‟s stability and strength during seismic loading (Janssen, 2000). Figure 3.4 Undamaged Bamboo Structure (Reproduced from Bhavna Sharma‟s Doctoral Dissertation, Seismic Performance of Bamboo Structures) During a 1991 Costa Rican earthquake of 7.5 magnitude on the Richter Scale (maximum PGA of 0.27g), twenty houses made of bamboo located near the epicenter of the earthquake were 16 undamaged, testifying to bamboo‟s flexibility and ductility as a structural system (Janssen, 2000; National Commission for Risk Prevention and Response [CNE]). These two examples demonstrate bamboo performance in seismic activity and encourage further exploration of bamboo as a structural material. Further data and testing performed on bamboo shows that it has the ability to safely dissipate seismic forces without damage to the structure (Janssen, 2000). Bamboo has many mechanical properties allowing it to dissipate forces from seismic activity. Bamboo strength, stiffness, and flexibility allow for safe structural performance during seismic events, as seen in Figure 3.4 (Janssen, 2000). The low-weight of bamboo contributes to its success because of the contribution of building weight to forces accruing in the structure during seismic activity, thus reinforcing the process in ASCE 7-10 to calculate forces from a seismic event on a structure. Continued use of bamboo structures is advantageous after seismic events because they do not require extensive repairs compared to other structural materials. This provides long-term cost savings for bamboo houses in regions of the world, such as East Africa, where poverty-stricken people cannot afford to replace their homes after natural disasters. 17 Chapter 4 - Bamboo Construction This chapter briefly examines the tools, connections, and preservatives used in bamboo construction. Construction of structural bamboo houses influences design of bamboo structures. Thus, the construction process must be understood in order to design an effective structure. Tools and connections to execute construction and stabilize structures are essential for bamboo construction because both of these items impact construction with their influence on efficiency, time, and capabilities of the construction crew. Tools used for construction indicate complexity of construction and skill needed for labor. Connections contribute to the structural integrity of the building, making them pertinent to the structural engineer. Preservatives extend the service life of bamboo; the various preservatives for treating bamboo are discussed in this section. Although construction entails many facets, this section focuses on contributors to structural bamboo design, tools, connections, and preservatives. Construction practices would require a separate document due to the variance in construction practices across the globe. Therefore, specific construction practices are not covered in this research. Tools Construction begins and ends with tools used throughout the process. Effective use of tools during construction determines the timeline and cost of a project. The difficulty of working with round culms of bamboo has limited the types of tools used during bamboo construction. Tools used for construction of bamboo housing are shown in Figure 4.1. A variety of hand tools and power tools are used in bamboo construction and suffice in completing the needed tasks. However, tools used in bamboo construction are the most rudimentary of all building materials because of the simple techniques of bamboo construction and traditions of bamboo structures. 18 Figure 4.1 Tools for Bamboo Construction (Reproduced from the United Nations Industrial Development Organization Cottage Industry Manuals: Raw Materials and Tools for Bamboo Applications) Tools shown in Figure 4.1 and presented by the United Nations Industrial Development Organization (UNIDO) and Kassa include the following hand and power tools:   Carving Tool  Chopping Knife  Drill Bits  Planer  Rotary Saw  Chisel  Drill  Nail Gun  Pliers  Saw  Hacksaw  Handsaw  Ladder  Scissors  Shaping Knife  Hand Drill  Jig Saw  Saw Horses and Jigs  Scraping Knife Torch (UNIDO, 2008; Kassa, 2009) 19 Although not an exhaustive list, the tools shown are examples of common tools used for bamboo construction. These tools require limited training, thus enlarging the market of available workers and allowing for a swift transfer of knowledge between parties in the construction process. The simplicity of these tools also provides high constructability because they do not require a high skill level in order to be utilized. New tools will eventually be used in bamboo construction, but the market for bamboo construction has determined the type of tools used. Since bamboo is largely used in poor, rural regions of East Africa, the tools associated with bamboo construction are simple, inexpensive, and readily accessible. New technology will become a part of bamboo construction if bamboo becomes a widely-used material in all cultures, climates, and classes. Connections Structural connections strive to create continuity between bamboo culms and verify that failure of the structure occurs in bamboo members and not in connections (Arce-Villalobos, 1993). The inherent variance of bamboo creates a multiplicity of connections for structural bamboo design. Many bamboo connections provide a way to transfer loads out of the culm and into another element, and connections used are lashings, steel wires, nails, bolts, pins, clamps, glued-wood fittings, grout fills, and proprietary connections (Janssen, 2000; Arce-Villalobos, 1993; Construction with Bamboo-Bamboo Connection). The number of connections allows flexibility for structural engineers to implement a connection for a project that effectively supplements the rest of the bamboo structure. A successful connection affects the economy, rigidity, and structural continuity; thus, these items must influence structural design. Many connections discussed in this section have a practical niche, but in order for bamboo to become an internationally recognized material, several quality connections must be developed. Research has shown that two connections, the glued-wood fitting and grout-filled with rebar connection, are practical for most conceivable situations. Common connections in bamboo design are presented in this section with a brief overview of alternatives in bamboo connections including lashings, nails, bolts, and pins. The glued-wood fitting and grout fill with rebar connections are also examined. Lashings are traditional connections in bamboo design and demonstrate a natural beauty and flexibility. Natural materials used in lashings include cain, coir, vines, sisal fiber, bark, 20 bamboo strips, and rattan (Socrates; Janssen, 2000). In general, lashings are made from wet, green strips of bamboo because as strips dry, they shrink and tighten the connection, increasing strength (Socrates). The versatility of lashings allows them to be used in numerous situations because of the free-flowing nature of the connection. However, lashings cannot be checked quantitatively due to their variance in craftsmanship and strength (Janssen, 2000). The two pictures in Figure 4.2 indicate the vast difference in lashing quality, reinforcing why lashings are not practical as a stand-alone connection. Additional lashing connections can be viewed in Appendix B. Figure 4.2 Lashing Connections (Reproduced from Nicholas Socrates‟ Bamboo Construction) Steel wire is a newer development in lashing connection for bamboo, but steel wire has difficulty fitting tightly to bamboo and transferring forces through tension. Thus, a wire-lacing tool has been invented to assist in wrapping wire around the bamboo, but this method and product have not been widely used in bamboo design (Arce-Villalobos, 1993; Janssen, 2000). Other materials used as lashing include plastic tape and rope. Although lashing is a popular connection, it does not provide adequate stiffness for structural bamboo design. Lashing connections allow significant displacement because the lashing does not adequately hold the culm, and if green bamboo is used, the culm shrinks and moves (Arce-Villalobos, 1993). In addition, the variability of lashing connections diminishes the ability to verify the strength and adequacy of the field connection. Thus, lashing connections are not feasible for structural bamboo design (Janssen, 2000). Nail, bolt, and pin connections are frequently used in structural bamboo because they provide a simple means to connect the culms. These connections are not preferred in bamboo 21 structures because they induce splitting in the culm and are not versatile (Socrates). Bamboo culms are damaged and cracked from drilling, causing early splitting that leads to failure. Predrilling holes in order to place the bolts and pins can prevent splitting, but nails, bolts, and pins are not versatile connections because they only suffice for situations with two culms and do not provide adequate transfer of forces (Janssen, 2000). Appendix B provides examples of nail, bolt, and pin connections. Additional connections are not discussed due to the limitations of this section, but Appendix B has information on additional connections. Connections range from PVC fittings, combination connections with pins and lashings, threaded bolts, cable-tie mounts, adhesives, and clamps. These connections cannot be considered in structural bamboo applications because of expense, labor costs, load transfer, or durability. The glued-wood fitting and grout-filled connection with steel rebar were chosen based on several parameters, including Arce-Villalobos keys to a successful connection (Arce- Villalobos, 1993): 1. Avoid penetration by nails, screws, or bolts. 2. Avoid open ends. 3. Solve the problem of size variability. 4. Transfer forces by axially distributing them to the fiber of the culm. The glued-wood fitting and grout-filled with steel rebar connection satisfy these suggestions and may increase bamboo‟s viability as an internationally recognized structural material. Although bamboo varies in shape, size, and thickness, the glued-wood fitting and grout-filled with steel rebar connection have the flexibility to accommodate changing characteristics. The glued-wood fitting connection could improve uniformity of structural bamboo design and has gained popularity due to its success, as it is placed within the cavity of the culm to create a structural continuous connection (Arce-Villalobos, 1993; Janssen, 2000). Glue testing has shown that “normal” glue provides a higher strength than the bamboo culm due to the culm‟s weakness in the tangential direction (Socrates). Thus, the glued-wood fitting is adequate and should not incite failure of the bamboo structure. Figure 4.3 illustrates a glued-wood fitting, which is a wood fitting cut to fit within the interior cavity of the culm. Two slits are cut into the 22 culm to control cracking while the wood fitting is placed (Arce-Villalobos, 1993). Advantages of this connection include low cost, use of accessible materials, versatility, simplicity, extension, and increase of area (Socrates; Arce-Villalobos, 1993). A disadvantage would be splitting induced by the slits created to place the connection. For a structural engineer, the glued-wood fitting connection has several viable qualities. The connection transfers forces tracking through the culm into a larger cylindrical wood fitting, and this fitting distributes forces into the next member or element. The glued-wood fitting provides protection for the culm by closing off the end and reinforcing the hollow interior of the culm. This additional strength decreases likelihood of splitting or crushing and redistributes shear stresses, and decreases bending stresses in the connection area. Capping the end of the culm prevents insects from entering and destroying it from the interior (Arce-Villalobos, 1993). Therefore, the glued-wood fitting meets all Arce-Villalobos‟ suggestions and demonstrates superior performance compared to other bamboo connections. Discussion of the versatility of this connection continues in Appendix C. Figure 4.3 Glued-Wood Fitting Connection (Reproduced based upon figure from Antonio Arce-Villalobos‟ Fundamentals of the Design of Bamboo Structures) Another simple, successful connection mentioned by researchers is the grout-filled connection with steel rebar. Figure 4.4 depicts a grout-filled connection with steel rebar, a preferred connection in practice because of its reliability and ease of placing (Janssen, 2000). Grout supports the culm similarly to the glued-wood fitting and transfers compression forces, 23 while steel rebar transfers tension forces. This connection is successful in truss design because of the aforementioned characteristics. The primary disadvantage of the grout-filled connection with steel rebar is its practicality and interaction with bamboo. This connection may not be practical in most situations except trusses and at the foundation of the structure. When placing grout, moisture produces swelling and splitting of the bamboo culm, and bamboo tends to shrink when it loses moisture. In this case, though, the culm cannot shrink due to the grout, producing splitting (Janssen, 2000). However, this connection provides structural continuity and increases the area in order to decrease stresses transferred from connection to connection. Figure 4.4 Grout-Filled Connection with Steel Rebar (Reproduced from the INBAR‟s Designing and Building with Bamboo) A variety of connections are used in bamboo projects because of bamboo variability. Many of these connections are case-specific, and connections used include lashings, steel wires, nails, bolts, pins, clamps, glued-wood fittings, grout-filled, and proprietary connections. With economy, rigidity, and structural continuity, however, a majority of these connections do not suffice. Only two simple, versatile connections, the glued-wood fitting and grout-filled connection with steel rebar, fulfill the goals and suggestions of Arce-Villalobos that a structural engineer must consider. The glued-wood fitting and grout-fill with steel rebar connections, provide minimal adjustment and construction issues and avoid the lead-time of proprietary connections, but the variance in design and construction may force the implementation of several different connections. The design example utilizes the glued-wood fitting coupled with lashing because the combination provides flexibility and adequate strength and rigidity to succeed in a variety of circumstances. Lashings transfer and develop forces from lateral loads into adjacent members. 24 Preservatives Preservatives are essential for increasing structural bamboo service life. Bamboo service life may be limited to one to three years when outside in contact with soil and up to ten to fifteen years under very good conditions, including positioning bamboo off the ground away from other organic matter in a dry environment (Janssen, 2000). Preservation begins with consideration of the harvesting process. The time of year and where the bamboo culm is cut has proven to increase the durability and longevity of the culm‟s service life; culms cut in the dry season have higher durability than culms cut in the rainy season. After flowering, bamboo has lower starch content, decreasing likelihood of insect attacks. Insects are attracted to starch in the culms; thus, lowering the starch content will help protect and preserve the culms. The lower portion and outer layer of culms have higher durability than the rest of the culm; thus, the lower part of the culm should not be cut off during harvesting in order to take advantage of its durability. Culm characteristics provide various advantages and difficulties for preservation. The exterior layer of the culm is made of a water repellent film, which prevents insects and other organic material from entering from outside the culm. As an organic compound, bamboo requires a preservative to protect it from deterioration. Bamboo has two types of standard preservatives, traditional and chemical (Janssen, 2000). Janssen developed a list of fundamental rules to assist in bamboo durability and preservation: 1. Harvest bamboo when the starch content is low. 2. Select species that locals have determined suitable for the project‟s purpose. 3. Keep bamboo dry and free from soil. 4. Store culms:    Under cover. Away from water. In horizontal layers with room for airflow. 5. Keep bamboo in adequate storage during transportation. (Janssen, 2000) Traditional Traditional methods for placing preservatives on or in bamboo culms include curing, smoking, soaking and seasoning, and lime-washing. These methods involve minimal cost and low skill levels. For curing, bamboo is left completely intact outside to air-dry after harvesting. 25 Transpiration occurs through clumping or air-drying culms, causing starch content to decrease in the culms (Janssen, 2000). Clump-curing, placing newly cut culms against uncut culms, is one of the most economical ways to preserve bamboo. Then, culms are left outside to dry for four to eight days, decreasing the starch level (Kassa, 2009). Air-drying involves storing culms horizontally for three to four weeks in a clean, well-ventilated warehouse or covered yard where culms are protected from direct sunlight and humidity fluctuations (Kassa, 2009). Smoke and ash-type solutions act as preservatives when placed on culms. Smoking involves placing culms over a fire to allow smoke to encompass the culms, deterring fungi and insects from infesting the culms (Janssen, 2000). Soaking and seasoning consist of completely submerging the culms in stationary or moving water for a few weeks, extracting starches. After soaking is complete, the bamboo is air-dried in the shade. Lime-washing protects culms from fungi by washing the culms with limewater (Janssen, 2000). Traditional methods are proven and simple to implement; thus, depending on material availability and application, traditional methods may be appropriate. Chemical All safe, cost effective, and applicable chemical methods contain boron. Several chemical preservative mixtures are copper-chrome-boron, boron-based fertilizer (Disodium Octoborate Tetrahydrate with sixty-six percent active boron content) and a borax-boric acid (Adams, 1997; Janssen, 2000). Similar to the exterior layer, bamboo culm interior layers have a waxy film cover; thus, chemicals must enter through the end of the culm to move through and absorb into the culm‟s fibers. Preservatives must enter through conducting vessels that comprise only 10% of the culm‟s cross-section. Chemical preservation must occur within twenty-four hours after cutting because conducting vessels close after twenty-four hours. Boron-based fertilizer has provided “good preservation” in extensive use in Costa Rica. Two methods are used to pass these chemicals through culms, modified boucherie and dip-diffusion (Janssen, 2000). Modified boucherie is used for whole green culms by pushing the mixture through the culms using pressure. This process must occur within twenty-four hours after cutting to allow the preservative to move through the entire culm. A storage drum filled with preservative is connected to one end of the culm with rubber tubes and sleeves clamped around the culm. For the modified boucherie process, an air pump is used to push preservative through conducting 26 vessels of the culm. The process is finished when the concentration exiting the opposite end of the culm matches the preservative concentration in the drum. Another technique to execute this process is to cut the inner wall of the bottom portion of the culm, hang it vertically, and infuse it with the preservative (Janssen, 2000). Dip-diffusion is used for sawn or split culms where the culm is placed fully in the mixture to allow infiltration into culm vessels. The process lasts ten minutes; then culms are removed from the preservative, wrapped in plastic sheets and left to dry. After a week, the sheets are removed and culms vertically placed to season for one week (Janssen, 2000). The use of chemical preservation for bamboo culms has ramifications. First, adequate preservation relies on mixture accuracy. Second, culms impregnated with chemical preservatives should not be burnt. Third, overall cost of bamboo increases 30%. Fourth, disposal of toxic waste in chemical preservatives contributes to environmental issues. But for boron-based fertilizer, waste is considered negligible because the preservative can be mixed with starch and sugar from culms and reused as fertilizer. Fifth, the service life of the bamboo increases to fifteen years in the open and twenty-five years under very good conditions (Janssen, 2000). Bamboo structures have structurally supported buildings longer than twenty-five years, but the previous estimate considers structural integrity and serviceability of bamboo. The increase in bamboo service life overrides the increase in cost to purchase preservatives. Thus, chemical preservation of bamboo is a viable option with various financial setbacks due to the process and transportation. 27 Chapter 5 - Bamboo Design Example This section explains the basis behind the calculations, including loads, materials, and layout of the traditional East African, Amhara house. The bamboo design example was executed to provide an example of a structurally engineered bamboo house. The structure is a traditional, lowland, East African house, known as an Amhara bamboo house, which is circular with an eight-meter diameter (Kibwage et al., 2011). The primary difference between the house in the design example and a typical Amhara bamboo house is that the interior column is made of four bamboo culms, not one solid timber column and columns are on a concrete pedestal or curb connected to the foundation, not rammed earth, as shown in Figure 5.2. The structure was designed based on the bamboo species Oxytenanthera abyssinica (Kibwage et al., 2011). The designed structure utilizes a similar quantity of bamboo culms, approximately 320, as provided by the INBAR document for the Amhara bamboo house. An INBAR study estimated the cost of a similar structure used for lodging and hotels in East Africa at approximately $12,000. Figure 5.1 shows the house examined in the INBAR study. This house has more material for the exterior, walls, and foundation; therefore, the design example may have a lower cost associated with its design and construction than the house in Figure 5.1. Figure 5.2 provides an example of a traditional Amhara house (Kibwage et al., 2011). Figure 5.1 Similar Housing in East Africa (Reproduced from the INBAR‟s Bamboo as a building material for meeting East Africa’s housing needs: a value chain study from Ethiopia) 28 Figure 5.2 Traditional Amhara House in East Africa (Reproduced from the INBAR‟s Bamboo as a building material for meeting East Africa’s housing needs: a value chain study from Ethiopia) Loads Loads considered for this structure include dead, roof-live, wind, and seismic loads. Dead loads always reside on the structure, but due to bamboo‟s lightweight nature, dead load did not significantly impact the structure compared to wind loads except at the roof where grass thatch adds significantly to the dead load. Roof-live loads could be neglected because of the single story nature of the structure and ability to erect the structure without placing workers on the roof. However, this design considered a roof-live load to account for unforeseen loading and maintenance on the roof. Wind loads governed over seismic loads in design of the structure, and all of the loads were calculated based on the ASCE 7-10, which provides a basis for designing structures. Table 5.1 and Appendix A contain further information regarding the loads. 29 Loads Roof Dead Wall Dead Roof-Live Seismic Wind Force 2.16 kPa (45 PSF) 1.00 kPa (20 PSF) 1.0 kPa (20 PSF) Ss=0.82g & S1=0.33g 150 mph Table 5.1 Loads Materials & Layout Materials and layout of the traditional East African structure significantly impact the structural design. Materials used for the roof, walls, and floors influence the member sizes because of the dead loads introduced by various materials. Layout of architectural features influence where the structure can reside and placement of the structure. Items discussed in this section include bamboo specifications, roof, walls, columns, braces, floor and foundation, and connections. Further information and drawings of the example structure are at the end of this chapter. Drawings provide an in-depth look at the layout briefly described in this section. Bamboo Specification Oxytenanthera abyssinica, as discussed in Chapter 3, is the bamboo species used for the design example of a traditional Amhara bamboo house. Bamboo will be purchased from a supplier such as Kitil Farms and preserved by boron-based fertilizer. All of the Oxytenanthera abyssinica bamboo members in this design are six or ten centimeters in diameter with 1.5 or 3.5 centimeter thick culm walls, respectively and harvested at three to six years of age (Kitil Farm). These values were extracted from research determining the average diameter of Oxytenanthera abyssinica to range from three to ten centimeters with the thickness deduced from pictures provided by sources similar to Figure 5.3 (Kitil Farm; & UNIDO 2009). 30 Figure 5.3 Measurement of Oxytenanthera abyssinica (Reproduced from Kitil Farm‟s Oxytenanthera Abyssinica (Solid bamboo)) Roof The roof of the structure consists of architectural and structural elements integral to the service life of the house. The roof is made of a grass thatch exterior, corrugated sheet metal, an air cavity with structural elements and burlap bags of hay, and a woven layer of bamboo on the inside for the ceiling. Grass thatch provides the house with a traditional East African look and acts as a temperature control by absorbing the sun‟s rays, preventing the corrugated sheet metal from directly heating the entire structure, but also adds significantly to the roof-dead load (1.2 kPa or 25 PSF). Hay-filled burlap sacks insulate the structure. In addition, the roof forms a cone to tie to the structure with an overhang that extends out from the house 0.6 meters. This overhang extends the bamboo wall weaving‟s service life. Trusses supplement the structural capacity of the roof. Sixteen trusses will originate from the center of the structure at the interior column and rest on the exterior columns at equal spacing. The trusses are four meters long and two and one half meters high. The top chord of the truss supports loads from the roof overhang and intermediate roof members. These trusses could be constructed on site in an effort to minimize transportation costs or in a factory for quality control. 31 The half-fink truss is produced from eight bamboo members of varying lengths. Figure 5.4 accurately depicts the half-fink truss used for the design example. Truss members largely experience tension forces, which utilize the strongest bamboo mechanical property, tension. The previously considered truss produced compression in the majority of the members, which made the truss members larger and less efficient. Sixteen half-fink trusses complete the roof structure with sixteen intermediate roof members at the two joints of the top chord. The roof requires approximately 180 Oxytenanthera abyssinica culms. Calculations for the truss are in Appendix A. Figure 5.4 Half-fink Truss Dimensions from Design Example (Reproduced from Author‟s Drawings) Walls The wall materials and layout of the structure provide bamboo and occupants protection from the exterior environment. Wall materials from the outside to inside include a woven layer of bamboo, corrugated sheet metal, an air cavity with structural elements and burlap bags of hay, and a woven layer of bamboo on the inside of the wall. The majority of these materials, including corrugated sheet metal, burlap sacks, and hay are materials available in most of East 32 Africa (Kassa, 2009). The woven layer of bamboo on the outside of the wall continues the traditional use of bamboo weavings to cover the house and acts as a temperature regulator by absorbing and reflecting the sun‟s rays to avoid heating the layer of corrugated sheet metal underneath. Corrugated sheet metal provides an attachable surface for the bamboo weavings and burlap bags and becomes a barrier between the exterior and interior environment. Burlap sacks of hay create a layer of insulation to protect the house from the elements. The structure resides within the layer of burlap sacks and is concealed from view. The final layer of bamboo weavings encloses the insulation and structure from view. The layout consists of a continuous, circular wall around the perimeter of the traditional housing unit. Architectural elements found in the exterior wall include one door and multiple windows. Major structural elements are concealed in the exterior wall, including the columns and diagonal bracing. Traditionally, interior walls are included in Amhara houses, and the interior wall is similar to the exterior wall but without hay-filled burlap sacks for insulation. The interior wall is not shown in the drawings shown at the end of this chapter. Columns Columns of this structure reside at the center of the structure and at the exterior wall. Exterior columns are spaced equally around the perimeter of the structure at 3.05 meters and intermediate columns spaced at 0.78 meters. The exterior columns carry truss loads, brace loads, and experience lateral wind loads. The interior column is comprised of four culms carrying loads from the trusses including vertical and lateral loads. The interior column allows the sixteen trusses to bear on it through connection to a steel plate. All of the columns are 2.85 meters in height, and the exterior columns generally contain bracing halfway up the member to decrease the slenderness ratio (λ=KL/r per Janssen, 2000). Braces Diagonal braces providing lateral support to the structure are located in the exterior walls of the structure. This layout allows for an open floor plan for the rooms within the structure. Diagonal braces are located in each column to column space, with the exception of the entrance. This placement provides adequate lateral resistance to the governing wind loads and flexibility for architectural features within the walls, such as windows and doors. The diagonal braces are 4.15 meters long and extend into the space approximately thirty centimeters at all locations. 33 Member Sizes Member Roof Intermediate 1 Roof Intermediate 2 Top Chord of Truss Truss Members Braces Columns Wall Member-Intermediate Girt Intermediate Column-Above Door Door Frame Beams Door Frame Columns Window Frame Beams Window Frame Columns Diameter (cm) Wall Thickness (cm) 6 1.5 10 3.5 10 3.5 6 1.5 10 3.5 10 3.5 6 1.5 6 1.5 10 3.5 10 3.5 6 1.5 10 3.5 Table 5.2 Member Sizes Floor & Foundation The concrete floor slab for this project is optional based on the Amhara bamboo house from INBAR. If the concrete floor slab is chosen, it will be cast on the site. The concrete slab will be poured last to decrease the amount of necessary formwork because the curb acts as formwork for the slab. The foundation for the structure is concrete, and the curb, column cap, continuous footing, and spread footings are cast-in-place concrete. A modular foundation was considered until the need of forming the curb arose, and since curb must be cast-in place, the rest of the foundation is cast-in-place. The curb and piers provide a pedestal for the columns to rest on in order to assure that bamboo culms do not easily absorb water. The curb extends fifteen centimeters above the foundation wall. A foundation wall is used to prevent the curb from cracking or experiencing differential settlement. Connections The glued-wood fitting connection is used for all structural connections in the traditional Amhara bamboo house. Lashing acts as additional connection support to strengthen trusses and lateral supporting members. In all lateral load-transferring elements, lashing provides additional strength, stability, and flexibility to the connection and develops and transfers lateral forces to 34 adjacent members including the entire roof and columns where braces and columns connect. Thus, this combination connection may be practical to use for the entire structure. For design, the assumption is made that the connections are adequate for the loads encountered. Thus, only members were analyzed for failure. Engineers desire failure to occur in individual members to prevent total collapse. Additional Considerations Additional considerations not mentioned previously include providing roof vents, lighting, and a tension ring. The best option for providing roof vents and lighting is to create a central vent system that adds to the façade architecture by elevating the center portion of the roof to allow for smoke to leave and light to infiltrate the space. A tension ring is a structural option for this example but due to time limitations, was not considered in the calculations. The tension ring would rid the need for the interior column, which provides additional floor space but complicates construction. These additional considerations would add functionality to the design example if implemented. Bill of Materials Material Use Wood Fasteners Steel Adhesive Steel Rebar Concrete Corrugated Metal Hay Burlap Sacks Bamboo Tools Connection Connection Connection Connection Foundation Floor Slab & Foundation Wall & Roof Wall & Roof Wall & Roof Structure Construction Table 5.3 Bill of Materials List 35 Drawings This section provides the building layout and drawings. These drawings show member sizes and design determined through calculations, shown in Appendix A. Drawings are meant to provide a brief introduction to the structure and preliminary design and do not provide information required to carry this design to construction. 36 37 38 39 40 41 42 43 44 Chapter 6 - Recommendations Recommendations in this section refer to areas the bamboo industry should develop and standardize in order to create an environment of consistency and growth allowing for frequent use of bamboo as a structural material. Items discussed in this section include standards, farms and plantations, connections, and service life. The bamboo industry needs to address these issues before allowing commercial use of bamboo as a structural material. Standards Research has shown that bamboo‟s hindrance in structural applications is due to its lack of a technical document that provides adequate explanation of bamboo and equations pertaining to its implementation in structural design. Current technical documents generalize bamboo design and construction to cover all situations, creating difficulties for structural design. Technical documents require specific and relevant information regarding design and construction of bamboo structures. For bamboo to become a prominent structural material, development and publishing of a codebook must occur, similar to the AISC or NDS. A codebook would allow direct use of bamboo in a variety of applications. Research has been conducted for a variety of bamboo species, but all of this research must be centralized and used to formulate an explanation of bamboo behavior and quantitative mechanical properties of prominent species. INBAR could advance the bamboo industry forward by specifying bamboo species used for structures and placing those species in a technical document to begin development of a codebook. Farms & Plantations Investment in farms and plantations must be developed in countries where bamboo naturally thrives. Oxytenanthera abyssinica has the capability of growing the bamboo industry because of its solid nature and mechanical properties; thus, a commercial plantation could grow and supply Oxytenanthera abyssinica to East Africa. If the bamboo industry unifies from INBAR to the farms and plantations, public awareness of bamboo and its capabilities as a structural material will increase. Support of farms and plantations by organizations such as INBAR and EABP must continue to bring farms and plantations to a standard for quality control. Kitil Farms is currently 45 working in Ethiopia to promote Oxytenanthera abyssinica and build awareness of this bamboo species, but farms and plantations need financial support and information on manufacturing practices in order to thrive. As bamboo production becomes commercialized, the industry may begin to receive support from additional structural and sustainability organizations. Connections Currently, connections pose a problem for structural bamboo design. Variance in connections and bamboo culms cause difficulties in understanding which connection will perform appropriately in a given circumstance. Thus, a connection that has high variability in use and high strength must be developed to provide bamboo with an economical and consistent connection. Development of a common connection would decrease design problems structural engineers have with using bamboo as a structural material. An increase in consistency for bamboo connections would increase the likelihood of structural engineers using bamboo as a structural material. Service Life Service life of bamboo must be considered before structural use of bamboo commences. Lack of long-term service life negates any benefit or sustainable aspect to using bamboo as a structural material for commercial purposes. Thus, the expected service life of bamboo must be extended longer than twenty-five years in order to encourage its use as a structural material. Without this development, the use of bamboo as a structural material is not feasible for commercial use. 46 Chapter 7 - Conclusion This report responds to the need in East Africa for safe, sustainable, and affordable housing and promotes bamboo as a structural material. East African housing needs continue to increase because of the growing population and inability for the region to provide housing and infrastructure at a corresponding rate. Bamboo housing provides an alternative to urban slums and could solve the housing sector differential. The bamboo species Oxytenanthera abyssinica is available throughout the region and is accepted and used in traditional houses in the culture. The primary purpose of this report is to promote bamboo as a structural material. Technical documents support use and guide design of bamboo structures, and mechanical properties and behavior promote the advantages of bamboo as a structural material. Bamboo technical documents include the ICC‟s Acceptance Criteria and ISO 22156, which provide information on testing, equations, and general considerations for bamboo use as a structural material. Empirical design introduces various suggestions and equations that provide preliminary knowledge on bamboo structural design. The mechanical properties indicate strength and behavior of bamboo, in general and the specific species Oxytenanthera abyssinica. Bamboo behavior impacts structural design and the structure‟s ability to dissipate loads; for bamboo, the behavior due to P-δ effects and seismic activity successfully convey the flexibility and strength of bamboo as a structural material. Thus, the technical information, mechanical properties, and behavior adequately support the implementation of bamboo as a structural material. Bamboo construction and the design example indicate bamboo‟s practicality in construction and design. Bamboo construction utilizes simple tools but has complex connections and preservation techniques. The design example showcases difficulty for bamboo in spanning distances for bending and bamboo‟s parallelism to wood in layout. Throughout this report, bamboo demonstrated its practical capabilities for construction and design. Thus, bamboo may have the ability in the future to become recognized as a structural material in commercial design and construction with further development of the items in the Recommendations section. Currently, bamboo would suffice as a structural material for the housing crisis in East Africa. However, bamboo needs further development before 47 commercial use commences. The use of bamboo in commercial structural design may begin when the recommendations suggested are fully developed. 48 References Ababa, Addis. (2012, Sept. 12). Bamboo has a potential to generate 12 bln Birr annually: Project (WIC). WordPress.com. Retrieved from East African Bamboo Project website: http://eabpnews.wordpress.com/ Adams, Cassandra (1997). Bamboo Architecture and Construction with Oscar Hidalgo. Retrieved from NetWorks Productions website: www.networkearth.org/naturalbuilding/bamboo.html Ahmad, Mansur. (2000) Analysis of Calcutta bamboo for structural composite materials (Doctoral dissertation). Retrieved from Virginia Tech University website: http://scholar.lib.vt.edu/theses/available/etd-08212000-10440027/ Alito, Markos (2005). Bamboo Reinforcement as Structural Material for the Construction of Low-Cost Houses in Ethiopia (Master’s Thesis). Addis Ababa University. American Concrete Institute (ACI). (2011). ACI 318-11: Building Code Requirements for Structural Concrete and Commentary. Farmington Hills, MI: Author. American Institute of Steel Construction (AISC). (2011). Steel Construction Manual (14th Ed.). Chicago, IL: Author. American Society of Civil Engineers (ASCE). (2010). ASCE 7-10: Minimum Design Loads for Buildings and Other Structures. Reston, VA: Author. American Wood Council (AWC). (2005). National Design Specification for Wood Construction. Washington, DC: Author. Arce-Villalobos, O.A. (1993). Fundamentals of the Design of Bamboo Structures (Doctoral dissertation). Retrieved from Eindhoven University of Technology website: http://alexandria.tue.nl/extra3/proefschrift/PRF9B/9303473.pdf. 49 Bhalla, Suresh. (2008). Scientific design of bamboo structures. [PowerPoint slides]. Retrieved from Bamboo Technologies website: http://www.bambootechnologies.org/pdf/Bamboo.pdf Corrugated Metal, Inc (CMI). Precision Cut, High Quality Metal Roofing and Siding for Industrial, Commercial and Architectural Projects. Retrieved upon request from Corrugated Metals website: http://www.corrugated-metals.com/. Didier, F., Ngapgue, F., Mpessa, M.,& Tatietse T.T. (2012). Physical characterization of two Cameroon bamboo species: Arundinaria alpina and oxytenantera abyssinica. International Journal of Engineering and Technology (IJET) 4(2), 82-92. Retrieved from Engineering Journals website: http://www.enggjournals.com/ijet/docs/IJET12-04-02053.pdf Drysdale, Robert, & Hamid, Ahmad. (2008) Masonry Structures Behavior and Design (3rd ed.). Boulder, Colorado: The Masonry Society (TMS). Inada, T. & Hall, J.B., 2008. Oxytenanthera abyssinica (A.Rich.) Munro. In: Louppe, D., OtengAmoako, A.A. & Brink, M. (Editors). Prota 7(1): Timbers/Bois d‟œuvre 1. [CD-Rom]. PROTA, Wageningen, Netherlands. International Code Council (ICC). (2012). Acceptance Criteria for Structural Bamboo. Retrieved from International Code Council website: www.icc-es.org. International Organization for Standardization (ISO). (2001). Bamboo Structural Design (ISO 22156). Technical Committee 165. Janssen, J.J.A (2000). Designing and Building with Bamboo (Technical Report No. 20). Retrieved from INBAR website: http://www.inbar.int/wpcontent/uploads/downloads/2012/09/inbar_technical_report_no20.pdf. 50 Kansas (2010). City-Data. http://www.city-data.com/states/Kansas.html. Kassa, B.Z. (April 2009). Bamboo: An Alternative Building Material for Urban Ethiopia (M.S. Report). Retrieved from California Polytechnic State University website: http://digitalcommons.calpoly.edu/cgi/viewcontent.cgi?article=1074&context=theses. Kibwage, J., Frith, O.B., & Paudel, S.K. (2011). Bamboo as a building material for meeting East Africa’s housing needs: a value chain case study from Ethiopia. Retrieved from The International Development Research Centre website: http://idlbnc.idrc.ca/dspace/bitstream/10625/48260/1/IDL-48260.pdf. Kitil Farm. Oxytenanthera Abyssinica (Solid bamboo) [Brochure]. Nairobi, Kenya: Author. Kramer, Kimberly (2011). Columns & Eccentricity. Lecture presented at Kansas State University, Manhattan, KS. National Commission for Risk Prevention and Response (CNE). 4. The Limón-Telire Earthquake. Retrieved from National Commission for Risk Prevention and Response website: http://www.cne.go.cr/CEDO-CRID/CEDOCRID%20V4/pdf/eng/doc2974/doc2974-4.pdf. Paudel, Shyam (2011). Development and Promotion of Bamboo Housing Technology in East Africa. Retrieved from The International Development Research Centre website: http://idl-bnc.idrc.ca/dspace/bitstream/10625/48258/1/IDL-48258.pdf. Schroeder, J.W. (July 2013). Quality Forage: Storage, Sampling, and Measuring. Retrieved from North Dakota State University website: http://www.ag.ndsu.edu/pubs/ansci/dairy/as1255.pdf. Shakemap usjdae_06: Peak Ground Acceleration (2006). Retrieved from U.S. Geological Survey (USGS) website: 51 http://earthquake.usgs.gov/earthquakes/shakemap/global/shake/jdae_06/#Peak_Ground_ Acceleration. Sharma, Bhavna (2011). Seismic Performance of Bamboo Structures (Doctoral dissertation). Retrieved from University of Pittsburg website: http://d-scholarship.pitt.edu/9277/. Socrates, Nicholas. Bamboo Construction. Retrieved from Academia website: http://www.academia.edu/1586984/Bamboo_Construction. The Masonry Society (TMS). (2011). Building Code Requirements and Specification for Masonry Structures (MSJC 2011). Boulder, CO: Author. The Modified Mercalli Intensity Scale. Retrieved from U.S. Geological Survey (USGS) website: http://earthquake.usgs.gov/learn/topics/mercalli.php. The Richter Magnitude Scale. Retrieved from U.S. Geological Survey (USGS) website: http://earthquake.usgs.gov/learn/topics/richter.php. Trujillo, David. (2009). Axially Loaded Connections in Guadua Bamboo. In NOCMAT 2009: 11TH International Conference on Non-conventional Materials and Technologies. Bath, UK: NOCMAT. United Nations Industrial Development Organization (UNIDO). (2008). Cottage Industry Manuals: Raw Materials and Tools for Bamboo Applications. Eastern Africa Bamboo Project: Chen, Brias, Fu, Hierold. Retrieved from website: http://www.pfmpfarmsos.org/Docs/bamboomanual_raw%20materials_eng.pdf. United Nations Industrial Development Organization (UNIDO). (2009). Bamboo Cultivation Manual: Guidelines for Cultivating Ethiopian Lowland Bamboo. Eastern Africa Bamboo Project: Brias, Tesfaye, Hunde, Hierold. Retrieved from UNIDO website: 52 http://www.unido.org/fileadmin/user_media/Publications/Pub_free/Guidelines_for_cultiv ating_Ethiopian_lowland_bamboo.pdf. United Nations Office for the Coordination of Humanitarian Affairs (OCHA). (2007). Earthquake Risk in Africa: Modified Mercalli Scale. Retrieved from Prevention Web website: http://www.preventionweb.net/files/7483_OCHAROCEAEarthquakesv2071219.pdf van der Lugt, P., van den Dobbelsteen, A.A.J.F., & Janssen, J.J.A. (2006). An environmental, economic, and practical assessment of bamboo as a building material for supporting structures. Retrieved from ScienceDirect website: http://www.sciencedirect.com/science/article/pii/S0950061805001157. Wald, D.J., Quitoriano V., Heaton T.H., & Kanamori, H. Relationships between Peak Ground Acceleration, Peak Ground Velocity, and Modified Mercalli Intensity in California (Earthquake Spectra, August 1999). Retrieved from Purdue University website: ftp://ftp.ecn.purdue.edu/ayhan/Aditya/Papers/Wald%20Quitoriano%20Heaton%20Kana mori_1999.pdf. Worldwide Seismic Design Values (January 2011). Retrieved from U.S. Geological Survey (USGS) website: http://earthquake.usgs.gov/hazards/designmaps/wwdesign.php. Yu, W.K., Chung, K.F., & Chan, S.L. (2003). Column buckling of structural bamboo. Retrieved from ScienceDirect website: http://www.sciencedirect.com/science/article/pii/S0141029602002195. Yu, W.K. & Chung, K.F (2002). Mechanical properties of structural bamboo for bamboo scaffoldings. Retrieved from Bambu Brasileiro website: http://bambubrasileiro.com/. 53 Appendix A-Calculations The load calculations were all based upon the ASCE 7-10 and the processes indicated within the code. The calculations can be seen in the following pages. Seismic and wind were the governing lateral loads and had some interesting occurrences regarding calculations. Wind governed in design because of the large surface area of the structure and low-weight of bamboo. Seismic The seismic forces were determined using several different sources. The Modified Mercalli Scale was used for the East African region. The maximum occurrence provided a PGA of 0.65g (OCHA, 2007; Wald, D.J., Quitoriano V., Heaton T.H., & Kanamori, H, 1999). The USGS‟s beta program for East Africa spectral responses provided a higher value. The highest spectral response came from Djibouti where the Ss=0.82g and the S1=0.33g. Thus, the USGS values were used in calculating the seismic force within the structure (Worldwide Seismic Design Values, 2011). Wind The wind calculations used the ASCE 7-10 and assumed the worst-case for the structure, which is along the coast. So the velocity of the wind taken from the ASCE 7-10 equaled 150 mph. The calculation used in design was miscalculated based upon the pressures going towards or away from the structure. But determining the actual loads revealed that the initial, miscalculated loads were slightly more conservative. Thus, the initial calculations were used for the design, as is noted on one of the calculation sheets. Design Calculations All of the calculations for the structure are included in this section, including the mechanical properties, roof and trusses, braces, columns, irregular members, and foundation. These calculations largely use statics to determine the member sizes along with RISA to provide deflections and compare the bending moments, shear forces, and axial forces within members for the roof and trusses, braces, and columns. 54 55 Seismic 56 57 Wind 58 Wind: Updated 59 Wind: Old Calcs for MWFRS (Kd=0.85) Conservative, thus used for calculations. 60 61 62 Wind: Circular Surface (Kd=0.95) 63 64 Wind: New Calcs MWFRS (Kd=0.85) 65 66 67 Mechanical Properties 68 69 70 RISA Custom Member 71 Roof & Truss 72 73 74 75 76 77 78 79 80 81 82 83 Forces from RISA, after comparing calculations from original truss geometry. 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 Braces 99 100 101 102 103 104 105 106 107 108 Brace Load Reversal 109 110 111 112 113 114 115 116 117 118 Columns Exterior Column 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 Interior Column 152 153 Irregular Members 154 155 156 157 158 159 160 161 Foundation 162 163 164 Exterior Footing 165 166 Interior Footing 167 Continuous Footing 168 Appendix B – Additional Connections This appendix provides pictures of additional connections for bamboo as indicated in Chapter 3, including PVC type fittings, combination connections with pins and lashings, threaded bolts, cable-tie mounts, adhesives, clamps, and others. These connections are casespecific and generally have disadvantages that cannot be overcome in design or detailing. They have a niche but may not have the strength or flexibility to be used in other situations. Figure B.1 PVC Type Fittings (Reproduced from Nicholas Socrates‟ Bamboo Construction) Figure B.2 Combination Connections with Pins and Lashing (Reproduced from INBAR‟s Designing and Building with Bamboo) 169 Figure B.3 Threaded Bolt Connections (Reproduced from Nicholas Socrates‟ Bamboo Construction) Figure B.4 Cable Tie Mount Connection (Reproduced from Nicholas Socrates‟ Bamboo Construction) Figure B.5 Adhesive Connection (Reproduced from INBAR‟s Designing and Building with Bamboo) 170 Figure B.6 Clamping Connections (Reproduced from INBAR‟s Designing and Building with Bamboo) Figure B.7 Steel Wire and Clamping Connection (Reproduced from INBAR‟s Designing and Building with Bamboo) Figure B.8 Double Post Connection (Reproduced from Nicholas Socrates‟ Bamboo Construction) 171 Figure B.9 Drilled Hole Lashing Connection (Reproduced from Nicholas Socrates‟ Bamboo Construction) Lashing connections are captured in Figure B.10, starting from left to right. The first connection is lashing that supports both culms but only in one direction. This is not practical due to its high displacement and ability to only resist shear once displacement has occurred. The second example is widely used in trusses because truss forces enable the connection to succeed. Compressive force in the vertical culm keeps the diagonal culm in place, while lashings keep the vertical culm relatively stable. The third connection is only used for fencing in Asia but has simplicity that may provide practicality in other situations. The vertical culm has a tongue portion that is wrapped around the horizontal culm and tied on the backside with lashing. The fourth connection is another example of a traditional lashing bamboo connection (Janssen, 2000). Figure B.10 Further Bamboo Lashing Connections (Reproduced from the INBAR‟s Designing and Building with Bamboo) 172 Figure B.11 Bolt and Pin Connections (Reproduced from the INBAR‟s Designing and Building with Bamboo) 173 Appendix C - Glued-Wood Fitting Connection The glued-wood fitting connection‟s high versatility provides the bamboo industry with an option that should improve bamboo‟s feasibility as a structural material. Figures C.1 through C.6 give examples of this connections uses. In Figure C.1, A is the culm, B the wood fitting, and C-E are the different type of steel plates used for this conneciton. Figure C.1 Glued-Wood Fitting with Steel Plate Connection (Reproduced based upon a figure from Antonio Arce-Villalobos‟ Fundamentals of the Design of Bamboo Structures) Figure C.2 Steel Plates Welded to Steel Ring Connection (Reproduced based upon a figure from Antonio Arce-Villalobos‟ Fundamentals of the Design of Bamboo Structures) 174 Figure C.3 Glued-Wood Fitting with Steel Plates, Welded Connection (Reproduced from Nicholas Socrates‟ Bamboo Construction) Figure C.4 Glued-Wood Fitting with Steel Plates Connected to the Foundation (Reproduced based upon a figure from Antonio Arce-Villalobos‟ Fundamentals of the Design of Bamboo Structures) 175 Figure C.5 Glued-Wood Fitting with Steel Plate and Pin Bundle (Reproduced from Nicholas Socrates‟ Bamboo Construction) Figure C.6 Wood Fitting with Steel Plate and Pin Bundle (Reproduced from INBAR‟s Designing and Building with Bamboo) The connection in Figure C.6 is a slight variation from the glued-wood fitting because it uses an aluminum or steel ring to keep the plug in place and a bolt to extend the connection. This connection has a quantitative strength of twenty-seven kilo-Newton for a 6.4 cm diameter culm of no specific bamboo species (Janssen, 2000). This connection is viable but more labor intensive, more expensive, and not versatile outside the culm, where the glued-wood fitting has flexibility in use of the wood platform or steel plates. 176 Appendix D – Source Permission SENT: Date: Tue, 9 Jul 2013 20:39:15 -0700 Subject: Citing Master's Report From: emyers89@gmail.com To: nicholassocrates@live.com Dear Nicholas Socrates, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University. I am currently researching for my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. I would like to include the following materials: 1. Text and images from your document Bamboo Construction (2012). Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 177 REPLY: Dear Evan, Feel free to use the material, but please do reference it as in any academic work. Feel free to use my images also. Please do reference and if you like I will be interested to read your work after you complete it. Thank you for being in touch. Best Wishes, Nicholas Nicholas Socrates BA (Hons), BA (Hons), MA, MArch w. www.nicholassocrates.com - architecture & urban design p. www.nicholassocrates.com/portfolio w. www.nicksocrates.com - art l. uk.linkedin.com/in/nicksocrates/ t. @nick_socrates e. nicholassocrates@live.com m. 07842825312 / 07821646183 178 SENT: From: Evan Myers [mailto:emyers89@gmail.com] Sent: 10 July 2013 05:23 To: UNIDO-OFFICIAL-MAILBOX Subject: Cottage Industry Manuals UNIDO, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University. I am currently researching for my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. I would like to include the following materials: 1. Text and images from Cottage Industry Manuals: Raw materials and tools for bamboo applications. Joint venture with CFC and INBAR. (Copyright 2008). Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 179 REPLY: Dear Evan Myers, Good day! You are welcome to use the information with due credit to UNIDO. Best wishes Ravindra Wickremasinghe (Mr.) Advocacy and External Relations Assistant Room D2116 Vienna International Centre Wagramerstrasse. 5 A-1400, Vienna Austria www.unido.org 180 SENT: On Jul 10, 2013, at 4:14 AM, "Evan Myers" <emyers89@gmail.com> wrote: Dr. Bhavna Sharma, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University. I am currently researching for my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. I would like to include the following materials: 1.Text and images from your 2010 University of Pittsburgh Dissertation: Seismic Performance of Bamboo Structures. Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 REPLY: Evan, Thank you for your email. If I understand correctly, you would like to reference my dissertation? It is fine to reference the dissertation using the appropriate citations. I suggest you speak with your reasearch or academic advisor regarding this. Bhavna 181 SENT: From: Evan Myers [mailto:emyers89@gmail.com] Sent: Friday, July 12, 2013 9:21 AM To: Chung, Kwok-fai [CEE] Subject: Citing Source Professor Chung, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University in the United States. I am currently working on my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. Any sources authorized will be cited in the report based on APA formatting. I would like to include the following materials: 1. Text and images from your work with W.K. Yu in Mechanical properties of structural bamboo for bamboo scaffoldings (2001). Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 182 REPLY: Thanks for your e-mail, and I have no objection to your request. I have copied your e-mail to r H C Ho, and he will provide your further information shortly. Regards. 183 SENT: -------- Original Message -------Subject: Citing Source From: Evan Myers <emyers89@gmail.com> Date: Wed, July 10, 2013 4:47 am To: info@kitilfarm.com Hi, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University. I am currently researching for my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. I would like to include the following materials: 1. Text and images from your brochure, Oxytenanthera Abyssinica (Solid Bamboo). 2. Text and images from Bamboo as an alternative source of energy. Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 184 REPLY: Dear Evan, Your request to use material in www.kitilfarm.com for research in a master’s report on Structural Bamboo Design in East Africa, is approved. Please provide us with a copy of the report or its location on the internet once finalised. Regards, J. M. Njuguna CEO, Kitil farm. A solid solution to a solid problem, with the SOLID BAMBOO!! Please come and discuss with us your bamboo investment needs. --------------------------------------------Kitil Farm HQ, Isinya, Kajiando District P.O.Box 762 00606 Sarit Centre, Nairobi, Kenya Tel: +254 787456156, +254 753683129, +254 722729630, Fax: +254 2 02701803 E-mail: info@kitilfarm.com; ---------------------------------------------------------We have over 2 million bamboo seedlings, 30-60 cm tall and planted on internationally accepted media. Ready for local, regional and international markets. Facebook https://twitter.com/kitilfarm 185 SENT: From: Evan Myers [mailto:emyers89@gmail.com] Sent: Friday, August 16, 2013 10:40 AM To: Megan Sappenfield Subject: Fwd: Sources Hi, My name is Evan Myers, and I recently contacted you(August 1, my original email was sent to an incorrect address). I am a graduate student in Architectural Engineering at Kansas State University. I am currently working on my master‟s report on Structural Bamboo Design in East Africa. Through my research, I have found some of INBAR‟s work that I would like to include in my report. I am seeking INBAR‟s permission to use the work directly or as a reference for the original composition of my report. Any sources authorized will be cited in the report based on APA formatting. I would like to include the following materials: 1. Text and images from the INBAR Technical Report 20 (Copyright 2000) 2. Text and images from Bamboo as a building material for meeting East Africa’s housing needs: a value chain study from Ethiopia (2011). Additionally, I welcome any other information you would like to provide on bamboo. I am also trying to contact Dr. Jules Janssen and Dr. Oscar Antonio Arce-Villalobos in order to receive their permission as sources if they have any affiliation with INBAR. I appreciate your consideration and assistance, and look forward to your reply. Attached are the images I would like to include in my report from INBAR Technical Report 20 and Bamboo as a building material for meeting East Africa’s housing needs: a value chain study from Ethiopia (2011). The images titled Cement Grout and Amhara-Traditional East African 186 House would be used in the body of the report, while the others would be placed in the appendices for reference. Thank you for your help and have a great day. Evan Myers emyers89@gmail.com (785)819-3106 REPLY: Hi Evan, I spoke with Oliver Frith, one of our staff members who does bamboo construction, and he said he already told you to use any material necessary as long as you cite it properly. Please go ahead as planned. Thanks, Megan 187 SENT: Hi, My name is Evan Myers, and I am a graduate student in Architectural Engineering at Kansas State University. I am currently finish ing my master’s report on Structural Bamboo Design in East Africa. Through my research, I have found your work that I would like to include in my report. I am seeking your permission to use your work directly or as a reference for the original composition of my report. Any reference used will receive proper APA citation. I would like to include the following materials: 1. Image from Earthquake Risk in Africa: Modified Mercalli Scale. Additionally, I welcome any other information you would like to provide on bamboo as a structural material. I appreciate your consideration and assistance, and look forward to your reply. Thank you. Evan Myers emyers89@gmail.com (785)819-3106 REPLY: Dear Evan, Thank you for your inquiry. OCHA is hereby granted non-exclusive rights subject to the conditions below to republish in master report entitled Structural Bamboo Design in East Africa the following OCHA map: Earthquake Risk in Africa: Modified Mercalli Scale, December 2007 http://reliefweb.int/map/ethiopia/earthquake-risk-africa-modified-mercalli-scale-december-2007 The following conditions apply: 188 1. OCHA maps must be republished in their original form and cannot be modified without the express permission of OCHA. Modification includes, without limitation, removing, resizing, or otherwise altering a map's title, contents, legend, symbology, acknowledgements, attributions, or disclaimers. An OCHA map may be reduced in size at the discretion of the Requestor provided the original spatial proportions are maintained. 2. The following attribution ("Attribution") must accompany OCHA maps: "Map provided courtesy of the UN Office for the Coordination of Humanitarian Affairs". The Attribution must be clearly readable. The Attribution may appear alongside the map or elsewhere in the publication, so long as a link to the Attribution on pages where a ReliefWeb map appears is provided. 3. The following disclaimer ("Disclaimer") is clearly readable on each page where a ReliefWeb map appears: "The boundaries and names shown and the designations used on this map do not imply official endorsement or acceptance by the United Nations". Should the Requestor reduce the size of the map so that the Disclaimer appearing in the map is no longer clearly readable, the text of the Disclaimer must be reproduced and appear alongside the map. If you have any questions, please do not hesitate to contact us at maps@reliefweb.int. Kind regards, Dita Anggraeni ReliefWeb Map Centre maps@reliefweb.int Follow us: RSS | Twitter | Facebook | YouTube | Feedback 189