A structure is fabricated by welding together three lengths of I-shape members (Y = 250 MP...

A structure is fabricated by welding together three lengths of I-shape members (Y = 250 MPa, E = 200 GPa, and G = 77.5 GPa), as shown in Figure P5.50. The members have cross-section properties Ix = 695 × 106 mm4, Iy = 20.9 × 106 mm4, Sx = 2705 × 103 mm3, Sy = 228 × 103 mm3, depth = 515.6 mm, and area = 18,190 mm2. The structure was designed with a safety factor of 2.00 for general yielding.

a. Determine the maximum allowable load Q.

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b. For this load, what is the deflection at the point where Q is applied?

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c. Determine the error in neglecting the strain energy resulting from axial load or from shear.

FIGURE P5.50