A force f is applied at the tip of the uniform bar element

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Reference no: EM131303689

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: EM131303689

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