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A column is fabricated by bolting a 1/4 x 6 plate to the top and bottom of a W14x90. Determine the moment of inertia about the y axis.

Bending is about the x-axis of each member. Determine the value for G (that would be used for GA or GB in the alignment charts) at point F in the frame.Girders BF, CG and DH are W21 x 44 and have a length of L1 = 20 ft.Girders FJ, GK and HL are W24 x 55 and have a length of L2 = 28 ft.Columns AB, EF and IJ are W10 x 54 and have a length of L3 = 16 ft.Columns BC, FG and JK are W10 x 45 and have a length of L4 = 10 ft.Columns CD, GH and KL are W10 x 33 and have a length of L4 = 10 ft.

A column is fabricated by bolting a 5/8 x 6 plate to the top of a W14x120. Determine the distance from the bottom of the W-shape to the centroid of the composite cross section.

A column is fabricated by bolting a 1/2 x 6 plate to the top of a W14x132. Determine the distance from the bottom of the W-shape to the centroid of the composite cross section.

A column is fabricated by bolting a 1 x 6 plate to the top and bottom of a W14x82. Determine the moment of inertia about the x axis.

A column is fabricated by bolting a 1/4 x 6 plate to the top of a W14x342. Determine the distance from the bottom of the W-shape to the centroid of the composite cross section.

A W14x370 made with A992 steel is pinned at both ends and braced in the weak direction as shown. Determine the value of the controlling slenderness ratio Lc/r. Let L1 = 27 ft, L2 = 11 ft, and L3 = 16 ft.

Bending is about the x-axis of each member in the unbraced frame. Determine the value for G (that would be used for GA or GB in the alignment charts) at point G in the frame. Girders BF, CG and DH are W18 x 35 and have a length of L1 = 22 ft.Girders FJ, GK and HL are W21 x 50 and have a length of L2 = 36 ft.Columns AB, EF and IJ are W10 x 77 and have a length of L3 = 16 ft.Columns BC, FG and JK are W10 x 45 and have a length of L4 = 12 ft.Columns CD, GH and KL are W10 x 30 and have a length of L4 = 12 ft.

A column is fabricated by bolting a 1 x 6 plate to the bottom of a W14x48. Determine the distance from the bottom of the plate to the centroid of the composite cross section.

A column is fabricated by welding a 1/2 x 18 plate to the left and right of a W14x99. Determine the moment of inertia about the y axis.