Table A.3. Material Properties of Aluminum Elastic Modulus, (MPa) 69000 E Yield Strength (0.2%offset), (MPa) 275 σo Poisson's ratio, 0.33 υ Ultimate Tensile Strength, (MPa) 324 σu Percent Elongation, %el (50.8mm gage length) 12 Appendix B: Free Body Diagram & Applied Load The applied load for each beam design is found from solving the equations of static P equilibrium and the force reading at the load cell, RLC. Figure B.1 Free-body diagram of 3-pt loaded beam. To find the applied load, the sum of the moments about gives A (B.1) To find the reaction force at the sum of the forces in the gives A, y-direction (B.2) The values for each load cell measurement for the round tube and C-channel are given in Table B.1 and B.2, respectively. Table B.1. Applied Loads for Round tube (N) (N) (N) RLC P RA
Table A.3. Material Properties of Aluminum Elastic Modulus, E (MPa) 69000 Yield Strength (0.2%offset), σo (MPa) 275 Poisson's ratio, υ 0.33 Ultimate Tensile Strength, σu (MPa) 324 Percent Elongation, %el (50.8mm gage length) 12 Appendix B: Free Body Diagram & Applied Load The applied load P for each beam design is found from solving the equations of static equilibrium and the force reading at the load cell, RLC. Figure B.1 Free-body diagram of 3-pt loaded beam. To find the applied load, the sum of the moments about A gives (B.1) To find the reaction force at A, the sum of the forces in the y-direction gives (B.2) The values for each load cell measurement for the round tube and C-channel are given in Table B.1 and B.2, respectively. Table B.1. Applied Loads for Round tube RLC (N) P (N) RA (N)