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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Glenn Ellis Photo
Glenn Ellis is the owner/operator of Gatonet, Inc. The information contained in this article relates to their Golf Clubs and Accessories website: http://www.driverswoodsandmore.com . Glenn Ellis - Gatonet, Inc. PO Box 952204 Lake Mary, Fl 32795 Gatonet@cfl.rr.com 1-888-837-6209

Many thanks for reading our Steel Shafts article

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