Problem 3 - Hand calculations / PYTHON a) L P -0.001 L tension 10 -10- compression...

 

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Problem 3 - Hand calculations / PYTHON a) L P -0.001 L tension 10 -10- compression b) Figure 2 0.001 0.002 The two bars shown in Figure 2a are fixed to rigid walls at their outer ends and are welded together where load P is applied. Both elements have constant cross-sectional area A = 1, and length L = 10. The material behavior is shown in Figure 2b. Note that the material is yielding in tension while it remains linear in compression. Starting from zero load, apply successive load increments AP=20, AP, 10, and AP = -30. a) Determine the corresponding values of the incremental displacements AD, and total displacements D by solving the incremental equations step by step by hand calculations. Remember to update the tangent stiffness for each increment. Show the results on a plot of P versus D. Problem 3 - Hand calculations / PYTHON a) L P -0.001 L tension 10 -10- compression b) Figure 2 0.001 0.002 The two bars shown in Figure 2a are fixed to rigid walls at their outer ends and are welded together where load P is applied. Both elements have constant cross-sectional area A = 1, and length L = 10. The material behavior is shown in Figure 2b. Note that the material is yielding in tension while it remains linear in compression. Starting from zero load, apply successive load increments AP=20, AP, 10, and AP = -30. a) Determine the corresponding values of the incremental displacements AD, and total displacements D by solving the incremental equations step by step by hand calculations. Remember to update the tangent stiffness for each increment. Show the results on a plot of P versus D.