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A structure is fabricated by welding together three lengths of I-shaped members as shown in Figure P5–44. The yield strength of the members is 36 ksi, E = 29 × 106 psi, and Poisson’s ratio is 0.3. The members all have cross-section properties corresponding to a W18 × 76. That is, A = 22:3 in2, depth of section is d = 18:21 in., Ix = 1330 in:4 Sx = 146 in:3 Iy = 152 in:4 and Sy = 27:6 in:3 Determine whether a load of Q = 10;000 lb downward is safe against general yielding of the material. The factor of safety against general yielding is to be 2.0. Also, determine the maximum vertical and horizontal deflections of the structure.
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