A transmission shaft AB = 1.2 m long is supported on bearings and carries two pulleys at C and D of weight 300 N and 100N respectively. AC BD 300 mm. The diameter of pulleys at C and D are 300 mm and 500 mm respectively. The shaft transmits 7.5 kW at 360 rpm from pulley at C to pulley at D. Both the belts are vertically downwards. The ratio of tensions is 2.75. The yield strength in tension of shaft material is 390 N/mm², and factor of safety is 2.75. Determine the shaft diameter.
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Answer:
The layout of a transmission shaft carrying two pulleys B and C are
supported on bearings A and D is shown in Figure. Power is supplied to
the shaft by means of a vertical belt on the pulley B, which is then
transmitted to the pulley C carrying a horizontal belt. The maximum
tension in the belt on the pulley B is 2.5 kN. The angle of wrap for both
pulleys is 1800 and the coefficient of friction is 0.24. The shaft is made
of plain carbon steel 30C8 (Syt=400 N/mm2
) and the factor of safety is 3.
Determine the shaft diameter on strength basis.
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