The shaft consisting of steel and aluminum segments carries the torques T and 2T as shown in the figure. Find the largest allowable value of T if the allowable shear stresses are 83 MPa for steel and 55 MPa for aluminum, and the angle of rotation at the free end must not exceed 6°. Use G = 83GPa for steel and 28 GPa for aluminum. 2T 50 mm dia 40 mm dia T Steel 900 mm Aluminum 600 mm

Find the max shear stress in a W12x50 cross-section using the appropriate estimated shear stress equation. Assume Vmax = 236kips.

The cylinder for a hydraulic press has an inside diameter of 300 mm and an outside radius of 260 mm. Find the maximum shear stress in the cylinder for an internal pressure of 221 MPa.

From the stress states given, draw the 3D Mohr's circle (lable the principle normal stresses, maximum and absolute shear stresses), and sketch the principle and shear planes. σxx = 70 ksi, σzz = -50 ksi, ?xy = 50 ksi (counterclockwise)

3: T = 10.11 kN-m

The rod shown below is of diamater 70 mm and is fixed at one end. It is subjected to 500 N.m and 300 N.m torsional moments as shown. Sketch the distribution of the internal torsional moment along the length of the rod. Also find the torsional shear stress at points A and B, and also the largest shear stress in the rod. Point B is to the left of the 500 N.m torsional moment and A is on the right of it. Round-up your answers to the nearest 1/100th of an MPa. y 35 mm 20 mm 500 N.m 35 mm- 300 N.m Torsional shear stress at A = MPа %3D Torsional shear stress at B = MPа Maximum shear stress = MPa %3D

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A hollow shaft with an outside diameter of 3.1 in. and an inside diameter of 2.8 in. is subjected to both a torque of T = 525 lb-ft and an axial tension load of P = 6840 lb, as shown. (a) Determine the principal stresses (0p1> 0p2) and the maximum shear stress Tmax at point H on the surface of the shaft. (b) Show the stresses of part (a) and their directions in an appropriate sketch. Answers: %p1= i 1 op2= Tmax psi. psi. psi.