Q.3 A steel column (E = 30 x10 3 ksi) that is fixed at the base and free at the top is constructed of a W 8 x 35 wide-flange member (see figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e =1.25 in. The geometric properties of section are; A = 10.3 in2, depth = 8.12 in, Imax = 127 in4, Ileast = 42.6 in4. a) If P = 40 k, what is the maximum compressive stress in the column? b) If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?

The figure below shows a section of a column subjected to load P, which is applied 50 mm from the midline of the section's web. The column is made from material, which has an allowable normal stress of 180 MPa (both in tension and compression). The area of the section is 10050 mm?; the principal moments of inertia Imar = 146.554x106 mm and Imin 20.076x10° mm*. !! Determine the maximum allowable load P. 15 mm 150 mm 15 mm 150 mm 50 mm 15 mm 100 mm 100 mm 1194.6 kN 363.6 kN 1809.0 kN O 516.4 kN O 189.5 kN

A = Tab Problem 1. An ellipse with semi-major axis a = 150 mm and semi-minor axis b = 100 mm is etched on a brass plate. The plate has dimensions 400 x 400 × 20 mm. Uniformly distributed normal stresses ox = -25 MPa and o, = 50 Mpa are applied to the plate. The Young's modulus E = 100 GPa, and Poisson's ratio v = 0.34. (Note: The ellipse remains an ellipse after stretching, but with different semi-major and semi-minor axes.) Find: a) The change in the area of the ellipse. Oy The in the thickness of the plate. b) c) The change AV in the volume of the plate. Ox a. -b- Ox a d) The strain energy, U, stored in the plate. Ty

The frame shown in the figure is supported by a hinge at A and a frictionless wheel F. When P = 12 lb, determine (a) the reactive forces at support A and the bottom of the wheel F, and (b) forces applied to member ABCD. ABCD is a single member. So is CEF. Points B, C, and E are pin joints. P 12 in 6 in. 6 in. 60 lb-in B 4 lb/in C 6 in. 4 lb/in