Analyze the Uniaxial structure using the MATRIX DISPLACEMENT METHOD, i.e. determ

Question

Analyze the Uniaxial structure using the MATRIX DISPLACEMENT METHOD, i.e. determine the displacements, member forces, reactions, and stresses. Then draw the Axial Force Diagram. Finally remove the right support but add your reaction force as a applied load at the point. The resulting structure will be statically determine, having only the support the support at the left and. For this determine structure, solve for the reaction at the left end, verify that the displacement at the right under this set of forces is zero. Assemble [S] using the Rigorous (Equilibrium/Compatibility/Force-Displacement) approach I suggest these steps: Number the dofs and reactions Calculate (E* A/L) for each member Assemble [S] using first the Rigorous Method Create {P} and solve for {d} Use Compatibility to create the {u} vectors Solve for the {Q} vectors using [k]{u} for each member For the {Q}'s you can determine the reactions, stresses, and solve the rest of the problem.

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