Prob. 3.4-6. A magnesium-alloy rod (E = 6.5 x 10 ksi) o × 11 15 x diameter d. 1 in. is encased by a brass tube (E, 10 ksi) with outer diameter d, = 1.5 in.; both have length L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and σ, in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod.

The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assumea = 4.1 m, b= 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? a (1) (3) A B (2) Answer: P = i kN

A stress developed if the applied force is parallel to the resisting area refers to: O tangential O bearing O normal. O simple

1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN

H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in Figure 3. mensions of the composite cross section are bj = 80 mm, d1 = dz 240 mm, b2 = 10 mm, d2 = The di- di %3D %3D 120 mm, and a = 60 mm. Deter- (2) (2) (1) mine the maximum bending stresses produced in both the wooden beam and the aluminum b1 plates if a bending moment M = +6,000 N m is applied about the z axis. Assume that E = 12.5 GPa and E2 = 70 GPa. FIGURE 3 %3D