Two solid steel shafts (G = 77.2 GPa) are connected to a coupling disk B and to fixed supports at A and C. For the loading shown, determine (a) the reaction at each support, (b) the maximum shearing stress in shaft AB, (c) the maximum shearing stress in shaft BC.

2.51 A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (E, = 200 GPa, a, = 11.7 x 10-6/°C) and portion BC is made of brass (E = 105 GPa, a = 20.9 x 10-6/°C). Knowing that the rod is initially unstressed, determine the compressive force induced in ABC when there is a temperature rise of 50°C. 250 mm 300 mm Fig. P2.51 A B C 30-mm diameter 50-mm diameter

HW. 9-3. The state of stress at a point in a member is shown on the element. Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 60 400 psi *650 pகம்

A steel pipe (1) is attached to an aluminum pipe (2) at flange B. Both steel pipe (1) and aluminum pipe (2) are attached to rigid supports at A and C, respectively. Member (1) has a cross-sectional area of A1 = 3,600 mm2 , an elastic modulus of E1 = 200 GPa, and an allowable normal stress of 160 MPa. Member (2) has a cross-sectional area of A2 = 2,000 mm2 , an elastic modulus of E2 =70 GPa, and an allowable normal stress of 120 MPa. Determine the maximum load P that can be applied to flange B without exceeding either allowable stress.

Torialai Stan Problem 1-- Short link BD consists of a single steel bar 40 mm wide and 12 mm thick. Knowing that = Call 100 Mpa, determine: a) The maximum value of the normal stress in the link BD b) The required pin diameter at support D. 20kN 100 150 mm 300 mm D 30

The compound shaft is attached to a rigid wall at each end. a = 2 m and b = 1.5 m. For the bronze segment AB, the diameter is 82 mm and G = 35 GPa. For the steel segment BC, the diameter is 62 mm and G = 83 GPa. The maximum shear stress is limited to 50 MPa in the bronze and 60 MPa in the steel. 75 mm 50 mm Bronze Steel a 1. Compute the largest torque kN-m that can be applied considering the maximum shear stress of the bronze segment. a. 8.07 kN-m b. 11.01 kN-m c. 7.26 kN-m d. 8.60 kN-m 1. Compute the largest torque kN-m that can be applied considering the maximum shear stress of the steel segment. e. 5.11 kN-m f. 5.52 kN-m g. 4.67 kN-m h. 4.08 kN-m 1. Compute the largest torque in kN-m that can be applied to the compound shaft. choose from the choices given above.

Two horizontal 22 kN forces are applied to pin B of the assembly shown. Knowing that a pin of 20 mm diameter is used at each connection, determine the maximum value of the average normal stress (a) in link AB, (b) in link BC. 12 mm 45 mm 22 kN 22 kN (Note that maximum normal stress in link AB and BC are required.) 12 mm 60 45 mm 45 C

The shaft AB is formed by bonding steel tube and a brass core. Outer diameter of the steel tube is 60 mm and the diameter of the brass core is 30 mm. The shaft is subjected to uniform distributed torque o t kNm/m. The allowable shear stresses for steel and brass are (Tsteel)all = 80 MPa and (Tbrass)all = 50 MPa, respectively. Determine a) the maximum value of the uniform torque t , b) the corresponding angle of twist at A. (The shear modulus for steel and brass are Gsteel = 77 GPa and Gbrass = 40 GPa, respectively) - Steel Tube A t kNm/m B 30 mm 15 mm 1 m 1 m Brass Core Cross Section