The rectangular bar has a width of w = 3.00 in. and a thickness of t = 2.00 in. The normal stress on plane AB of the rectangular block shown is 6 ksi (C) when the load P is applied. Assume a = 4 and b = 5. Determine (a) the magnitude of load P. (b) the shear stress on plane AB. (c) the maximum normal and shear stresses in the block at any possible orientation.

Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 13 kips, F₂ = 34 kips, and the normal stress in each rod must be limited to 22 ksi, determine the minimum diameter d₁ required for rod (1). A (2) d₁ F₂ B C O 1.087 in. O 0.823 in. O 0.541 in. O 0.867 in. O 1.003 in. d₂

The principal strains at a point on the aluminum surface of a tank are P1 = 630(10-6) and P2 = 350(10-6). If this is a case of plane stress, determine the associated principal stresses at the point in the same plane. Eal = 10(103) ksi,nal = 0.33.

(8) The homogeneous bar is supported by a smooth pin at C a cable that runs from A to B around the smooth peg at D as shown. Find the stress in the cable if its diameter is 15mm and bar weighs 6,000 kg. 5m B 5m A

Part 1. A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁ - 50 mm and inside diameter d₁-30 mm. = 100 MPa, and the The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow) allowable shear stress of steel core (2) is (Tallow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T D₁ L Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) mm².

1200 N 2. For the bone shown to the left, assume the cross-section at C can be approximated as annular, with an outer diameter of 25mm. When the 1200 N forces are applied, the average normal stress in the bone at point C is determined to be 3.80 MPa. Determine the inner diameter of the bone cross section at C. Ans: d; = 14.93 mm 4 in. P 3 in. B 1200 N "UI 8