Calculate the tip displacement

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Reference no: EM131303683

Solve Problem using force equilibrium; i.e., internal force caused by stress is equal to external force.

Problem

A force F is applied at the tip of the uniform bar element shown in the figure. The initial length and the cross-sectional area of the bar are, respectively, A0 and L0. The elastic modulus of the material is E.

Calculate the tip displacement by solving the total Lagrangian variational equation with the St. Venant-Kirchhoff nonlinear elastic material model.

Assume the following numerical values: E = 700 MPa, A0 = 1.0 X 10-4 m2, L0 = 1.0 m, and R = 10kN.

Compare the tip displacement with that from the linear elastic model when (a) E = 700 MPa and (b) E = 70GPa.

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Reference no: EM131303683

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