Determine the angle through which end A rotates, if a torque of TA = 88 N-m is applied at A. Note: Both shafts are made of steel (G = 77 GPa). Use the following dimensions: d1 = 24 mm d2 = 48 mm r1 = 16 mm r2 = 30 mm L1 = 0.8 m L2 = 1.3 m Report your answer in units of radians (i.e., rad). Calculate your answer to three decimal places.
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- 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?Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.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.
- A pulley is keyed to a 56.8mm diameter shaft by a 7/16 in x 3 in flat key. The shaft rotates at 697 rpm. The allowable compressive stress for the key, hub and shaft are 66 ksi. 59 ksi and 72 ksi, respectively. Determine the maximum torque, in lb-in, the pulley can safety deliver. Express your answer in 3 decimal places.Torque in = 40nm Holding torque out = 896nm 8.Using your answers from the gear box above, and given that the input shaft has a diameter of 12 mm and the output shaft has a diameter of 15 mm, both shafts are made from aluminium. When this transmission system was operated, it failed. Identify the position where the failure occurred and the reason for this failure. Suggests improvements to the system to overcome the failure mode. The shear strength of aluminium is 207 MPa.Design a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed of 4000 rpm. The design constrains are as under:The angle of twist not to exceed 0.200Shear stress is not to exceed 480 MN/m2The outer diameter is to be twice the inner diameter. The shaft length is to be three times the outer diameter. Modulus of rigidity = 79 GN/m2.
- What is the minimum diameter of a solid steel shaft that will not twist through more than 3° (degrees) in a 6 m. length when subjected to a torque of 14 kN-m? Use G = 83 kN/ m^2. Convert your answers to mm.A hollow shaft is to transmit 350 kW at 65 rpm. If the shear stress is not to exceed 40 MPa and the diameter ratio is 0.54, Design the shaft by assuming the maximum torque is 40% greater than its mean torque. (ENTER ONLY THE VALUES IN THE BOXES BY REFERING THE UNIT GIVEN IN BRACKET) (i) The mean torque is (Unit is in Nm)=__________ Answer for part 1 (ii) The maximum torque is (Unit is in Nm)=__________ Answer for part 2 (iii) The outer diameter of the shaft (unit in mm)=_______________ Answer for part 3 (iv) The inner diameter of the shaft (unit in mm)=_______________The torque transmitted by a solid shaft of diameter 10 mm and shear stress 75 MPa Select one: a. 14.72x109 N-m b. 14.72 kN-m c. 147.2 N-mm d. 14.72 N-m
- What is the minimum diameter of a solid steel shaft that will not twist through more than 6° in a 15-m length when subjected to a torque of 8 kN·m? Use G = 83 GPa.How can you make stress of the element (rho=55mm) in question be equal to 45MPa? Prove your answerFor the indicated part. What would be the maximum torque that can be applied to the indicated part if the bar is solid, made of steel, with a diameter of 5 cm, L = 2m and the total angle of torsion in the length cannot exceed 2 degrees? Assume G = 80 GPa. (Hint: Twist angle has to be in radians to use in formula)The disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load. The nominal dimensions are as follows: b = 0.25 D; t = 0.075 D and d = 0.85 D. The hub length of 150 % of shaft diameter. Determine the total horsepower transmitted at 3,600 rpm, if the yield strength of the shaft is 1,400 psi