A flange coupling is to connect two 57 mm shafts. The hubs of the coupling are each 111 mm in diameter and 92 mm hub length. Six 16-mm bolts in a 165-mm diameter bolts circle connect the flanges. The keyway is 6 mm shorter than the hub length and the key is 14 mm x 14 mm. Coupling is to transmit 45 kW at 160 rpm. For all parts, yield point value in shear is one-half the yield point value in tension or compression that is 448 MPa. Find a) the shearing stress of key and its factor of safety; b) the bearing stress of key and the factor of safety based on yield point; c) the shearing stress in bolts and factor of safety based on yield point. (Board problem, November 1983)

Elements Of Electromagnetics
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PROBLEM:
A flange coupling is to connect two 57 mm shafts. The hubs of the coupling are each 111 mm in diameter and 92 mm hub length. Six 16-mm
bolts in a 165-mm diameter bolts circle connect the flanges. The keyway is 6 mm shorter than the hub length and the key is 14 mm x 14 mm.
Coupling is to transmit 45 kW at 160 rpm. For all parts, yield point value in shear is one-half the yield point value in tension or compression
that is 448 MPa. Find a) the shearing stress of key and its factor of safety; b) the bearing stress of key and the factor of safety based on yield
point; c) the shearing stress in bolts and factor of safety based on yield point. (Board problem, November 1983)
14 mm x 14 mm x 86 mm
d = 16 mm
Dr = 111 mm
D= 57 mm
Dp = 165 mm
w = 50 mm
92 mm
Dimensions in mm
Transcribed Image Text:PROBLEM: A flange coupling is to connect two 57 mm shafts. The hubs of the coupling are each 111 mm in diameter and 92 mm hub length. Six 16-mm bolts in a 165-mm diameter bolts circle connect the flanges. The keyway is 6 mm shorter than the hub length and the key is 14 mm x 14 mm. Coupling is to transmit 45 kW at 160 rpm. For all parts, yield point value in shear is one-half the yield point value in tension or compression that is 448 MPa. Find a) the shearing stress of key and its factor of safety; b) the bearing stress of key and the factor of safety based on yield point; c) the shearing stress in bolts and factor of safety based on yield point. (Board problem, November 1983) 14 mm x 14 mm x 86 mm d = 16 mm Dr = 111 mm D= 57 mm Dp = 165 mm w = 50 mm 92 mm Dimensions in mm
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