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1) Consider the two columns given below. Both have the same material properties. Both have equal unbraced lengths about their respective x and y axes. Both have the same end conditions (pin-pin). However, one is square in shape, and the other is rectangular.Which column is more efficient? Justify your answer by comparing the critical buckling load of each column and the amount of material used. (15 pts)

2) For the beam given below, calculate the vertical reaction at support A. Assume that the-self-weight of the beam is negligible. (15 pts)

3) For the beam given below, calculate reactions at both supports A and B. Draw the shearand moment diagrams. Label the maximum magnitude shear and moment values on thediagrams. (Maximum magnitude means maximum absolute value, positive or negative).Assume that the self-weight of the beam is negligible. (20 pts)

4) From the options given below, choose the most economical size HSS brace that will be able to resist the force shown. Assume that the brace will be designed as a tension-only brace (no compression). (10 points)

5) For the truss given below, find the force in member EF. Assume that the self-weight of the truss is negligible. (15 pts)

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