A solid shaft has to transmit 50 kW of power at a speed of 1910 RPM, Ignore any possible bending of the shaft. The maximum allowable shear stress for the material of the shaft is 80 MPa. The minimum diameter of the shaft required to prevent failure due to shear (rounded off to one decimal place) in cm is
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- The turbine motor moving at 378 rev/ min can produce 2.5 hp. The shaft diameter is 1.25 inches. Calculate the torque and shearing stress developed in the shaft.A hollow steel shaft 2510 mm long must transmit torque of 34 KN-m. the total angle of twist must not exceed 3 degrees. The maximum shearing stress must not exceed 110 Mpa. Use G= 83 GPA. Calculate the minimum required polar moment of Inertia. 10. Calculate the minimum outside diameter so that the allowable shearing stress will not be exceeded. 11. Calculate the maximum required inside diameteThe engine of the helicopter is delivering 600 hp to the rotor shaft AB when the blade is rotating at 1200 rev/min. Determine the diameter mm of theshaft AB if the allowable shear stress is 75 MPa and the vibrations limit the angle of twist of the shaft to 0.05 rad. The shaft is 2 ft long.
- A helical spring is fabricated by wrapping wire ¾ in. indiameter around a forming cylinder 8 in. in diameter. Compute thenumber of turns required to permit an elongation of 4 in withoutexceeding a shearing stress of 18 ksi. Use 12,000,000 psi formodulus of rigidity.The steel shaft shown rotates at 4 Hz with 35 kW taken off at A, 20 kW removed at B, and 55 kW applied at C. Using G = 83 GPa, find the maximum shearing stress and the angle of rotation of gear A relative to gear C. NOTE: SHOW FREE BODY DIAGRAM AND COMPLETE SOLUTONA solid steel shaft ABC of 50mm diameter is driven at A by a motor that transmits +50kW to the shaft at 10Hz. The gears at B and C drive the machinery using power equal to -35kW and -15kW, respectively. Determine the maximum shear stress in the shaft & compute the angle of twist of the shaft between the motor at Ao and the gear at C. Please take note: the values are negative (-35 & -15)
- A solid 1.250-in.-diameter steel [G = 11,000 ksi] shaft is subjected to torques TB = 295 lb-ft and TD= 95 lb-ft, acting in the directions shown. Assume a = 48 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 14 ksi, determine the maximum torque TC that can be applied to the shaft. [Answer: TC = 542 lb ft]The hollow steel shaft (G= 83 GPa) must transmit a torque (torsional moment) of 32.5 Kn-m. The outside diameter D of the shaft is 300 mm Considering both limitations (in allowable torsional shear stress of 80 MPa and in maximum total angle twist of 0.1 degree per meter), determine the minimum safe thickness of the hollow shaft and find the value of polar moment of inertia considering a limitation that the total angle of twist shall not exceed 0.1 degree per meterA transmission tower is loaded as shown in the figure JCZ-1. Assume roller support at A and hinge support at B. Determine the stresses at member CE and DF.
- A solid steel shaft ABC of 50mm diameter is driven at A by a motor that transmits +50kW to the shaft at 10Hz. The gears at B and C drive the machinery using power equal to -35kW and -15kW, respectively. Determine the maximum shear stress in the shaft & compute the angle of twist of the shaft between the motor at Ao and the gear at C. Please take note: the values are negative (-35 & -15) & G = 83 GPaThe stepped shaft ACB shown in Figure bellow is fixed at both ends and loaded by a torque TO at point C. Segment AC having solid circular cross section and segment CB having hollow circular cross section. If the shafts material is steel with shear modulus G = 11 x 10°psi, and the torque is To = 8,000 lb-in. Calculate: (a) The maximum and the minimum shear stress in segment CB. (b) The maximum and the minimum shear strain in segment CB. (c) The angle of rotation 0, at the cross section where the torque To is applied.The hollow circular shaft having 120 mm outerdiameter and 80 mm inner diameter. It is subjectedto an internal torque of T = 10 kN-m. Determine theshear stress at the inner and outer boundary of theshaft in MPa.