Task 3: A hollow aluminum alloy 6061-T6 shaft of outer radius c = 40 mm, inner radius b = 30 mm, and length L=1.2 m is fixed at one end and subjected to a torque T at the other end If the shearing stress is limited to max = 140 MPa, determine (a) the largest value of the torque; (b) the corresponding minimum value of shear stress; (c) the angle of twist that will create a shear stress min = 100 MPa on the inner surface.
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- 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.What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/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 stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see figure). What is the minimum required diameter dminif the allowable shear stress is 48 M Pa and the allowable rate of twist is 0.75º/m? (Assume that the shear modulus of elasticity is 80 G Pa.) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d/8, Compare dminvalues to corresponding values from part (a)
- 2. Solve the following problem Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Critically evaluate and compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque ofT 171N.m the missing Torque 171(T).Question 6 Figure Q6 shows a circular shaft AB and a square shaft BC where it is fixed at C. a. Determine the maximum value of shear stress developed and the angle of twist if a Torque of 2 kNm is applied at A b. Determine the maximum torque that can be applied at A when the maxımum shear stress is 75 MPa and angle of twist at A is 0.02 rad.A shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer diameter of the shaft is 0.1 m and its wall thickness is 10 mm, what would be the minimum diameter of a solid steel shaft needed if it would be subjected to the maximum shear stress of the hollow shaft?
- Design the outside and inside diameters for a hollow stell shaft subjected to a torque of 1,000,000 in-lb. The maximum shear stress developed in the shaft is not to exceed 8,000 psi. The inside diameter is to be 2/3 of the outside diameter. Calculate the angle of twist in degrees for a 14 foot length of this shaft. Answer: D(outside) = 9.259 inches, D(inside) = 6.176 inches, angle of twist= 1.39 degrees I'm unsure of how to solve this problem. Could someone help me walk through the process step-by-step? Thanks in advance.QUESTION 1 Figure Q1 shows a 1.4 m long steel shaft that consists of a hollow segment AB and a solid segment BC. The shaft is fixed at C and is subjected to two external torques TA and TB at points A and B, respectively. The torque developed at the fixed end C is 750 kN.m in the direction as indicated in Figure Q1. Given G=75 GPa. (a) Determine the values of TA and Tâ if the corresponding angle of twist of end A is zero. (b) Calculate the maximum shear stress developed in the shaft and locate where it's occurred (c) Give your comment whether the shaft will fail or not if the allowable shear stress of the shaft is 75 MPa. Ø0.4 m Ø0.32 m Section r-r 750 kN.m TB TA A 0.6 m 0.8 m Figure Q1A steel shaft is to be manufactured either as a solid circular solid bar or as a circular tube. The shaft is required to transmit a torque of 1200N-m without exceeding an allowable shear stress of 40MPa or an allowable rate twist of 0.75deg/m. The shear modulus of steel is 78GPa. Compute the required diameter of the solid shaft & compute the required outer diameter of the hollow shaft if its thickness is 1/10 of its outer diameter.