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K. Roodbaraky and H.J. Roodbaraky

Department of Civil and Structural Engineering, The Nottingham Trent University, Nottingham, UK

doi:10.4203/ccp.31.8.5

K. Roodbaraky, H.J. Roodbaraky, "The Measurement of Young's Modulus of Living Trees", in B.H.V. Topping, (Editor), "Developments in Computer Aided Design and Modelling for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 201-205, 1995. doi:10.4203/ccp.31.8.5

Abstract

The Young's modulus of living trees has been calculated using the non-linear bending equation for a slender, tapered cantilever beam. A computer model has been developed to simplify the loading procedure with the force being applied from a fixed position close to the ground. The inclined applied load in combination with the large deformation and tree taper leads to a non-linear differential equation relating rotation to the bending moment. This equation has been solved numerically using 4th order Runge-Kutta method with predefined convergence criteria. The method is verified with laboratory test results for steel wire of known Young's modulus of elasticity. Results are given for small tree branches of a number of species.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 31 DEVELOPMENTS IN COMPUTER AIDED DESIGN AND MODELLING FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper VIII.5 The Measurement of Young's Modulus of Living Trees K. Roodbaraky and H.J. Roodbaraky Department of Civil and Structural Engineering, The Nottingham Trent University, Nottingham, UK doi:10.4203/ccp.31.8.5 purchase the full-text of this paper Full Bibliographic Reference for this paper K. Roodbaraky, H.J. Roodbaraky, "The Measurement of Young's Modulus of Living Trees", in B.H.V. Topping, (Editor), "Developments in Computer Aided Design and Modelling for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 201-205, 1995. doi:10.4203/ccp.31.8.5 Abstract The Young's modulus of living trees has been calculated using the non-linear bending equation for a slender, tapered cantilever beam. A computer model has been developed to simplify the loading procedure with the force being applied from a fixed position close to the ground. The inclined applied load in combination with the large deformation and tree taper leads to a non-linear differential equation relating rotation to the bending moment. This equation has been solved numerically using 4th order Runge-Kutta method with predefined convergence criteria. The method is verified with laboratory test results for steel wire of known Young's modulus of elasticity. Results are given for small tree branches of a number of species. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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