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5
Calculate diameter of shaft required to transmit 90 kW at
1200 rpm. The maximum torque is likely to exceed mean by
33.37 % for a maximum permissible shear stress of 55 N/mm².
Calculate angle of twist for same data if length of shaft is 5 m.
take G = 80 kN/mm2.
5
A 50 mm dia. of wooden shaft having length of 3.7 m is used
to transmit 90000 watt. Determine the lowest and highest rpm
at which stress may not exceed 120 MPa and angle of twist
may not exceed 2".
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Answer:
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Answered by
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Answer:
For Solid circular steel shaft-
p = 90 kW = 90×103watts,
N = 160 rpm , qmax=60N/mm2,
G=8×104N/mm2
θ=ao=1×π180=0.0175rad
Solution:
P=2πNTavg60
90×103=3π×160×Tavg/60
∴Tavg=5.371×103N−m=5.371×106N−mm
Student may assume Tmax=Tavg=5.371×106N−mm
Using the relation,
TiP=qmaxR
∴5.371×106×32π×60×2=60×2d
∴d3=5.371×106×32π×60×2=455.90×103
∴ d = 76.96 mm
Now, Ip=π32×d4=π32×76.964=3.444×106mm4
Using the relation,
TIp=GoL
∴L=Go−IpT=8×104×0.0175×3.444×1065.371×106
L = 897.71 mm
∴ Length of shaft = L = 0.897m say 0.9m.
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