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Shafts under torsion

shafts under torsion

Calculate the required diameter d of a shaft for power-based torsion

Power P W
Revolutions per minute that the shaft turns RPM
Allowable torsion stress τw (normally 11.7 N/mm2) N/mm2
Allowable bending stress σb N/mm2
E-modulus of the shaft material N/mm2
Poisson factor (cross-contractioncoefficient) of the shaft material dimensionless
Density of the shaft material kg/m3

The calculation result is:

Torsion moment T ? Nmm
Required resistance moment against torsion ? mm3
 
Diameter d for torsion ? mm
Corresponding support distance in case of free supporting ? mm
Corresponding support distance in case of clamping ? mm
Corresponding support distance in case of deformation β <= 0.001 rad ? mm
 
Diameter d for a deformation smaller than 0.25 degree/m ? mm
Corresponding support distance in case of free supporting ? mm
Corresponding support distance in case of clamping ? mm
Corresponding support distance in case of deformation β <= 0.001 rad ? mm

 

Calculate the required diameter d of an axis based on a bending and torsion moment

Occurring bending moment Mb Nmm
Occurring torsion moment Mw Nmm
Allowable bending stress σb N/mm2

The calculation result is:

Idealistic bending moment Mbi according to Poncelet ? Nmm
Poncelet: 0.35 Mb+0.65 sqrt(Mb2+Mw2)    
Idealistic bending moment Mbi according to Huber Hencky ? Nmm
Huber Hencky: sqrt(Mb2+0.75 Mw2)    
Diameter d according to Poncelet ? mm
Diameter d according to Huber Hencky ? mm

Enter your number values and press the Calculate! button to know the calculation result.

All calculated diameters d are full shafts, for conversion to hollow shafts see "Properties of sections part 2".

Standard shaft diameters are: 25, 30, 35, 40, 45, 50, 55, 60, 70, 80, 90, 100, 110, 125, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500 mm

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