The Solid 50 mm diameter shaft used to transmit the torques applied to the gears. Determine the maximum shear stress at sections E and G. (50 points) B 250 N-m 75 N-m 500 mm 400 mm 325 N-m 150 N-m 500 mm Note: First You need to pass a section through the points E and G and then Calculate the internal torque at these points by considering the left or right side of the section. Then calculate the maximum shear stress using the formula: Tr T = ― J

A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.

3. The two identical shafts, 1 and 2, are built into supports at their left ends. Gears mounted on their right ends engage a third gear that is attached to shaft 3. Determine the torques in shafts 1 and 2 when the 500N -m torque is applied to shaft 3. 40 500 Nm 80 Dimensions in mm 4. A 4-ft-long tube with the cross section shown in the figure is made of aluminum. Find the torque that will cause a maximum shear stress of 10 000 psi. Use G = 4 x 106 psi for aluminum. +4 in. → 0.04 in. 0.08 in.´ 5. Two steel springs are arranged in series as shown. The upper spring has 36 turns of 100-mm- diameter wire on a mean radius of 350 mm. The lower spring consists of 24 turns of 75-mm diameter wire on a mean radius of 245 mm. If the ultimate shearing stress in either spring must not exceed 692 MPa, (a) compute the maximum value of P and total elongation using factor of safety equal to 1.5. (b) What is the equivalent spring constant? Use G = 83 GPa. 2 of 2 4 in. wwwww.-

Part A The solid shaft cross-sections shown are subjected to the externally applied torques shown. Compare the corresponding shear stresses developed in each shaft at point P. P P 2 T Rank the solid shafts from the largest shear stress at P to the smallest shear stress at P. (For example, 4> 3 = 1 > 2). 0.5 T