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- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
- 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.The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 70 mm and G = 33.29 GPa. For the steel segment BC, the diameter is 40 mm and G = 84.85 GPa. Given that a = 2.03 m and b = 1.38 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 64.59 MPa in the bronze and 84.39 MPa in the steel. Round off the final answer to two decimal places. d A Bronze B Steel b. Add your answerThe compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 68 mm and G = 34.84 GPa. For the steel segment BC, the diameter is 40 mm and G = 83.59 GPa. Given that a = 2 m and b = 1.5 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 69.92 MPa in the bronze and 87.06 MPa in the steel. Round off the final answer to two decimal places. d ... A Bronze B Steel b.
- The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 74 mm and G = 33.05 GPa. For the steel segment BC, the diameter is 47 mm and G = 84.69 GPa. Given that a = 2.18 m and b = 1.33 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 60.08 MPa in the bronze and 82.03 MPa in the steel. Round off the final answer to two decimal places8. A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1 = 100 N m, T: = T4 = 50 N m, and T3 = Ts = 80 N m. The tube has an outside diameter of d2 _ 25 mm. The allowable shear stress is 80 MPa and the allowable rate of twistis 6_/m. Determine the maximum permissible inside diameter di of the tube. Ans: [ di = 20.7mm ] T = 100N.m T2 = 50N.m T = 80N.m T4 - 50N.m Ts- 80N.m в D E 25mmThe composite shaft shown in the figure consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 168 mm and a wall thickness of 5 mm. Steel pipe (2) has an outside diameter of 126 mm and a wall thickness of 8 mm. Both pipes are 2.4 m long and have a shear modulus of 79 GPa. If a concentrated torque of 22 kN-m is applied to flange B, determine (a) the maximum shear stress magnitudes in pipes (1) and (2). (b) the rotation angle of flange B relative to support A. N Swors: LI (1) TB. B L2 (2) C X
- For the shaft shown in the figure below, compute the angle of twist of pulleys B and C relative to A. The steel shaft has a diameter of 35 mm throughout its length. The torques are T1= 1500 N · m, T2 = 1000 N · m, = 500 N · m. The lengths are L, = 500 mm, L2 = 800 mm. T3 L2 T |T2 T3 A C B.The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 66 mm and G = 34.74 GPa. For the steel segment BC, the diameter is 45 mm and 6 = 84.1 GPa. Given that a = 2.18 m and b = 1.43 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 65.48 MPa in the bronze and 81.24 MPa in the steel. Round off the final answer to two decimal places. d ... A Bronze B Steel b–*) See the figure below. There are two torques applied at B and D. Segment CD is a tube, while AB and BC are solid rods. The cross-sections are shown in the figure, with Ro being the outer radius and Ri the inner radius. AB is made of an aluminum alloy (GAB = 4000 ksi) and BD is made of a steel alloy (GBD = 11000 ksi). O Find the internal torque throughout the member. Find the maximum shear stress tmax in the member between A and C. Note: i) you have to show why that is Tmax, and how you find it. ii) Do not calculate t in CD, since it is NOT requested. Find the angle of twist 0 of the cross-section D relative to cross-section B. Note: Do not calculate angle of twist in AB, since it is NOT requested. 1) 2) 3) Ro = 4" Ri = 2" Ro = 4" Ro = 2" Cross-section: 40 Ib-ft 30 Ib-ft 5 ft 1 ft 3 ft