Stresses Fall 2009 P

Stresses Fall 2009 P - SOLID MECHANICS Stresses A member...

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SOLID MECHANICS Stresses A member subjected to a load along its longitudinal centroidal axis is called an axial member. Y Z X L Y h Z b Cross-sectional area A = b*h Y F F X Cross-sectional area A A L B An axial member AB of length L is subjected to an incremental axial tensile load at B. The member is made of linear elastic material. The applied force, F produces an axial stress σ x = F/A When the force is equal to zero the stress = 0. h’ b F F h Cross-sectional area A A L B L’ Δ x = L’ – L, the change in length in the axial direction. The axial strain is defined as ε x = Δ x /L = (L’ – L)/L. Δ y = h’ – h, the change in length in the transverse direction. The transverse or lateral strain is defined as ε y = Δ y /h = (h’ – h)/h. Stresses Fall 2009 1

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Poisson’s ratio = ν = - ε y x σ x C E = Young’s Modulus = modulus of elasticity = σ x x = The slope of line OC. For any section in the member the change in length in
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Stresses Fall 2009 P - SOLID MECHANICS Stresses A member...

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