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Asked Dec 19, 2019
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Problem 5

The shaft shown has an outer diameter of 6 = 1.375 in. The shaft must transmit 122 hp at 3200 rpm. Determine the minimum required wall thickness "a" if the shearing stress in the shaft must be limited to 17.5 ksi.
2014 Michael
Swanbom eOe0
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The shaft shown has an outer diameter of 6 = 1.375 in. The shaft must transmit 122 hp at 3200 rpm. Determine the minimum required wall thickness "a" if the shearing stress in the shaft must be limited to 17.5 ksi. 2014 Michael Swanbom eOe0

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Given data, Diameter of the shaft is, b=1.375 in. Rotation of shaft is, N = 3200 rpm. Maximum shear stress of shaft is, 7 =17.5 ksi =17500 lb/in? Outer diameter will be, D = b = 1.375 in. Let d be the inner dia of the shaft Ratio, k = D Power transmitted by shaft, P =122 hp :1 hp = 550 lb.ft/sec =1hp = 550×12 lb.in/sec =1 hp = 6600lb.in/sec .. 122 hp = 122x6600 lb.in/sec =P=122 hp =805200 lb.in/sec

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Writing the relation between torque and shear stress between the shaft, т J R Where J is the polar moment of inertia, R is the radius of the shaft, The polar moement of inertia of hollow shaft can be given as, J=(D' -d*) %3D 32 Where d is the inner diameter of the shaft. R 32(D-a*) D/2 т (D' -d*)×; 32 %3! D/2 - Dª T =. D/2 32 T =D°(1-k*)r (1) 16

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Calculating the torque from the power and torque relation, P =To 2лN P =Tx= 60 60P 2πΝ Plugging the values of N & P 60 x805200 2x Tx3200 T = 2402.84 lb.in

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