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Posted: **Mon May 16, 2022 7:56 am**

: Q1 A Derive The Expression For The Average One Dimensional Elastic Modulus E In Terms Of The Elastic Modulus E And Poi 1 (45.19 KiB) Viewed 40 times

Q1(a) Derive the expression for the average one-dimensional elastic modulus E in terms of the elastic modulus E' and Poisson's ratio v'. Use three-dimensional stress-strain relationships given in Appendix 1 in your derivations. [8 marks]
APPENDIX 1 SOME USEFUL FORMULAE The general stress-strain relationships for an isotropic linear elastic are material = Eɛ x = 0 x v(0y +0,) Eɛ y = Oy - v(0x +02) Eɛ, = 0, -v(0x + Oy) y = z and G Y xy Txy GYxz =T XZ XZ GY yz = T yz where E is the Young's modulus, G is the shear modulus and vis the Poisson's ratio.