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L06_Axial%20Deformations-08

L06_Axial%20Deformations-08 - EAS 209-Spring 2008...

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EAS 209-Spring 2008 Instructors: Christine Human Gilberto Mosqueda 1/23/2008 1 Lecture 06-Axial Deformation Lecture 6 Deformations of Members Under Axial Loading Consider a homogeneous rod (constant E) of length L and uniform cross sectional area A, subjected to a centric axial load P From Hooke’s Law ε σ E = A P L δ therefore L E A P δ = rearranging AE PL = δ AE - axial rigidity Sign convention Elongation +ve Shortening -ve EAS 209-Spring 2008 Instructors: Christine Human Gilberto Mosqueda 1/23/2008 2 Lecture 06-Axial Deformation Stiffness and flexibility of a prismatic bar are defined in the same way as for a spring Spring fP = δ f -flexibility δ k P = k -stiffness Bar equivalent AE L f = L AE f k = = 1 Unless specified, prismatic bars are assumed to have the same stiffness in compression and tension.
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