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calculating shafts

Calculate the required diameter d of a bearing shaft for bending due to its own weight and 1 point load

Predetermined shaft diameter mm
Density shaft material kg/m3
E-modulus shaft material N/mm2
Point load FC N
Distance a mm
Distance b mm
Allowable bending stress σb N/mm2
For your information: some guide values for σb    
St70 58.8 N/mm2
St50 49.0 N/mm2
St41 44.1 N/mm2

Calculation results:

Line load due to the own weight of the shaft ? N/mm
Total length of the shaft ? mm
T_A (transverse force in A) ? N
T_a11 (transverse force 1 in C) ? N
T_a12 (transverse force 2 in C) ? N
T_B (transverse force in B) ? N
Lowest value of T_A,T_a1,T_a2,T_B ? N
Highest value of T_A,T_a1,T_a2,T_B ? N
Reaction force FA ? N
Reaction force FB ? N
Location of the maximum bending moment ?  
Locatie of zero on the transverse force line ? mm
Maximum bending moment ? Nmm
Deflection of the shaft at the location of the maximum bending moment ? mm
Deflection in the middle of the shaft ? mm
Maximum deflection in the entire shaft (40 evaluation points) ? mm
Maximum deflection in the entire shaft at distance ? mm
Deflection limit based on total length/300 ? mm
Required moment of resistance W ? mm3
Required diameter d ? mm

The transverse force line or T diagramma

The deflection of the shaft


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