(Solved):   A two-story parking garage has steel columns labeled as (1) and (2), as shown in the figei ...

 

A two-story parking garage has steel columns labeled as (1) and (2), as shown in the figeie w. The roof load \( \mathrm{P}_{\mathrm{A}} \) and the load \( \mathrm{P}_{\mathrm{B}} \) from the second floor can both be assamed bo at nward directly through the centroids of the cross sections of the tho eolinhns 1 ach columan an effective length \( L \) and the cross-sectional areas of the two colunus are \( \mathrm{A} \) I and \( \mathrm{A} \) 2 ectively. Let the modulus of elasticity of the steel be designared as \( L_{1}=I_{2}=I_{\text {a }} \) Deterthite bolic expressions for the downward displacements \( 4 \mathrm{a} \) and \( \mathrm{ug}_{\mathrm{a}} \) at the reypective columm joinis.