Relative angle of twist between ends of the shaft

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SUMMARY

The discussion focuses on calculating the relative angle of twist and maximum shear stress in a solid round steel shaft driven by a 10-kW engine. The shaft, measuring 1 m in length and 15 mm in diameter, experiences torque from power removals of 7 kW and 3 kW at each end. The correct length to use for calculations is 0.5 m on either side of the midpoint, as the torque is applied from the midpoint to each end. The calculations require the application of torsion formulas to derive the angle of twist and shear stress accurately.

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TL;DR Summary: A 10-kW engine drives a solid round steel shaft 1 m long by means of a V belt and pulley at the midpoint of the shaft. At one end of the shaft 7 kW is removed and at the other end 3 kW is removed. The shaft diameter is 15 mm and it operates at 1000 rpm. Assuming that no power is lost in the V-belt drive, determine:
a) the relative angle of twist between the ends of the shaft
b)the maximum shear stress in the shaft

IMG_10FACCCE30D5-1.jpeg


I am unsure about question 4a especially regarding my phi equation.
I set the L = 0.5 m as I had interpreted the question to say that the shafts are twisted from the midpoint.
However, shoud I have used L = 1 m instead?

Thanks!
 
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cherry said:
However, shoud I have used L = 1 m instead?
No. The length of shaft from the input torque to the output torque is 0.5 m on each side.
You show the numbers in the equation, but not the equation you will use, before you insert the numbers.
 
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