Steel Shafts
Steel Shafts
A hollow steel shaft with external diameter 150 mm is required to transmit 1MW at 300 rpm?
Calculate a suitable internal diameter
for the shaft if its shear stress is not to
exceed 70 MPa. Compare the torque
carrying capacity of this shaft with a solid
steel shaft having the same weight per unit
length and limiting shear stress. Take G = 80
GPa.
*P=2*Pi*N*T / 60
P in watt
N=RPM
T in N-m
1 megawatt = 1 000 000 watt
T=P*60 / 2*Pi*N
T=1 000 000 * 60 / 2*3.14*300
T=31847.134 N-m
Here, the torque is mean.
Tmax =1.2 * Tmean
Tmax =1.2 * 31847.134
Tmax =38216.5608 N-m
Tmax =38216.5608*1000 N-mm
For hollow shaft , max torque transmitted is given by,
[3.14/16] * shear stress * [(Do^4 - Di^4)/Do]
=0.19625*70* [(Do^4 - Di^4)/Do]
[1 megapascal = 1 newton/square millimeter]
38216.5608*1000/13.7375 = [(Do^4 - Di^4)/Do]
2781915.254 = [(Do^4 - Di^4)/Do]
2781915.254 *Do=Do^4 - Di^4
417287288.1 = 506250000 - Di^4
Di^4 = 506250000 - 417287288.1
Di^4=88962711.9 mm
Di = 97.1185 mm is the internal diameter of a hollow shaft.
*torque/polar moment of inertia = modulus of rigidity * theta / Length= shear stress / radius.
polar moment of inertia = [3.14 / 32]*D^4 for solid shaft
polar moment of inertia = [3.14 / 32]*[Do^4- Di^4] for solid shaft
equate the equation for hollow shaft and solid shaft as the length is same.
For More Steel Shafts Info Click On The Blue Links Below
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Many thanks for reading our Steel Shafts article
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