Analyze this Uniaxial Structure using the MATRIX DISPLACEMENT METHOD, i.e. deter

Question

Analyze this 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 that point. The resulting structure will be statically determinate, having only the support at the left end. For this determinate structure, (a) solve for the reaction at the left end, (b) verify that the displacement at the right end 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 From the {Q} 's you can determine the reactions, stresses, and solve the rest of the problem. In you Executive Summary, give your results for the displacements, reactions, and stresses and describe what you concluded from the two calculations on the determinate structure.

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