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3. Power transmission is an important engineering application and relies on the integrity of the shaft designs. Assume a solid, circular steel shaft with a uniform diameter d 50 mm and a total le...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
Problem 2: A solid steel shaft ABC of 50 mm diameter is driven at A by a motor that transmits 50 kW to the shaft at 40 rpm. The gears at B and C drive require 35 and 15 kW, respectively. Calculate the maximum shear stress in the shaft and the angle of twist between A and C. G 80 GPa 10 marks Motor 50 mm
Figure Q3 (a) shows a solid 40 mm diameter steel shaft which is supported by smooth bearings at B and D. It is coupled to a motor at C, which delivers 6 kW of power to the shaft while it is turning at 50 Hz. The modulus of rigidity of steel is 80 GPa. The shaft is free to turn in its support bearings at B and D. If gears A and E consume powers of 2 kW and 4...
Calculate the maximum power that may be transmitted by a 60-mm diameter solid steel shaft operating at 300 rev/min. The allowable shear stress in the shaft is 65MPa. Solution:
Problem 2 (30 points): Bored at the swimming pool and without enough solid mechanics to occupy their minds over the summer, engineering students analyze a diving board made from a 50mm x 300 mm wood plank. The diving board is held down at end A by anchor bolts that can be considered as a pinned support. a) Draw the Shear and bending moment diagram for the beam (10 points) b) What maximum permissible load, Pmax, can be exerted on the...
A hollow circular steel shaft has a 100-mm outside diameter and a 75-mm inside diameter. Calculate the allowable torque that can be transmitted if the allowable shear stress is 62 MPa. When the allowable torque is applied, calculate the shear stress at the inner surface of the shaft.
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
A hollow shaft consisting of a steel tube of 50-mm outer diameter is to transmit 250 kW of power while rotating at a frequency of 30 Hz. Determine - (7 points) (a) the tube thickness that should be used if the shearing stress is not to exceed 100 MPa. (3 points) (b) since in this simplified design calculation, the only stress considered is shear stress exerted on the shaft due to torques. Without taking into account of how power is...
A 20-mm-diameter steel shaft, made of AISI 1035 HR steel, transmits power while rotating at 400 rev/min. Assume any bending moments in the shaft to be relatively small compared to the torque. Determine how much power, in units of kW, the shaft can transmit with a static factor of safety of 1.5 based on (a) the maximum-shear-stress theory. (b) distortion-energy theory.
Q.3. A hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is fixed at ends A and B. Horizontal forces P are applied at the ends of a vertical arm that is welded to the shaft at point C. The allowable shear stress in the shaft is tall 45 MPa. Determine the maximum allowable force P 200 mm 200 mm 600 mm 400 mm