Question

8.1 (A). A solid steel shaft A of 50 mm diameter rotates at 250 rev/min. Find the greatest power that can be transmitted for a limiting shearing stress of 60 MN/m² in the steel. It is proposed to replace A by a hollow shaft B, of the same external diameter but with a limiting shearing stress of 75 MN/m². Determine the internal diameter of B to transmit the same power at the same speed. [38.6 kW, 33.4 mm.] 8.2 (A). Calculate the dimensions of a hollow steel shaft which is required to transmit 750 kW at a speed of 400 rev/min if the maximum torque exceeds the mean by 20 % and the greatest intensity of shear stress is limited to 75 MN/m². The internal diameter of the shaft is to be 80 % of the external diameter. (The mean torque is that derived from the horsepower equation.) [135.2, 108.2 mm.] 8.3 (A). A steel shaft 3 m long is transmitting 1 MW at 240 rev/min. The working conditions to be satisfied by the shaft are: (a) that the shaft must not twist more than 0.02 radian on a length of 10 diameters; (b) that the working stress must not exceed 60 MN/m². If the modulus of rigidity of steel is 80 GN/m² what is (i) the diameter of the shaft required; (ii) the actual working stress; (iii) the angle of twist of the 3 m length? [B.P.] [150 mm; 60 MN/m²; 0.030 rad.] 8.4 (A). A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowable stress is not to exceed 60 MN/m² nor the angle of twist 0.3° per metre length of shafting. If the outside diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN/m². [61.5 mm.]

          8.1 (A). A solid steel shaft A of 50 mm diameter rotates at 250 rev/min. Find the greatest power that can be transmitted for a limiting shearing stress of 60 MN/m² in the steel.
It is proposed to replace A by a hollow shaft B, of the same external diameter but with a limiting shearing stress of 75 MN/m². Determine the internal diameter of B to transmit the same power at the same speed.
[38.6 kW, 33.4 mm.]

8.2 (A). Calculate the dimensions of a hollow steel shaft which is required to transmit 750 kW at a speed of 400 rev/min if the maximum torque exceeds the mean by 20 % and the greatest intensity of shear stress is limited to 75 MN/m². The internal diameter of the shaft is to be 80 % of the external diameter. (The mean torque is that derived from the horsepower equation.)
[135.2, 108.2 mm.]

8.3 (A). A steel shaft 3 m long is transmitting 1 MW at 240 rev/min. The working conditions to be satisfied by the shaft are:
(a) that the shaft must not twist more than 0.02 radian on a length of 10 diameters;
(b) that the working stress must not exceed 60 MN/m².
If the modulus of rigidity of steel is 80 GN/m² what is
(i) the diameter of the shaft required;
(ii) the actual working stress;
(iii) the angle of twist of the 3 m length?
[B.P.] [150 mm; 60 MN/m²; 0.030 rad.]

8.4 (A). A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowable stress is not to exceed 60 MN/m² nor the angle of twist 0.3° per metre length of shafting. If the outside diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN/m².
[61.5 mm.]

8.1 (A). A solid steel shaft A of 50 mm diameter rotates at 250 rev/min. Find the greatest power that can be transmitted for a limiting shearing stress of 60 MN/m² in the steel.
It is proposed to replace A by a hollow shaft B, of the same external diameter but with a limiting shearing stress of 75 MN/m². Determine the internal diameter of B to transmit the same power at the same speed.
[38.6 kW, 33.4 mm.]

8.2 (A). Calculate the dimensions of a hollow steel shaft which is required to transmit 750 kW at a speed of 400 rev/min if the maximum torque exceeds the mean by 20 % and the greatest intensity of shear stress is limited to 75 MN/m². The internal diameter of the shaft is to be 80 % of the external diameter. (The mean torque is that derived from the horsepower equation.)
[135.2, 108.2 mm.]

8.3 (A). A steel shaft 3 m long is transmitting 1 MW at 240 rev/min. The working conditions to be satisfied by the shaft are:
(a) that the shaft must not twist more than 0.02 radian on a length of 10 diameters;
(b) that the working stress must not exceed 60 MN/m².
If the modulus of rigidity of steel is 80 GN/m² what is
(i) the diameter of the shaft required;
(ii) the actual working stress;
(iii) the angle of twist of the 3 m length?
[B.P.] [150 mm; 60 MN/m²; 0.030 rad.]

8.4 (A). A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowable stress is not to exceed 60 MN/m² nor the angle of twist 0.3° per metre length of shafting. If the outside diameter of the shaft is 300 mm find the minimum thickness of the hollow shaft to satisfy the above conditions. G = 80 GN/m².
[61.5 mm.]

Added by Patricia E.

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