Torsion of shafts worksheet with answers

Free printable Torsion of shafts worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A solid circular shaft carries a torque T. Find the maximum shear stress τ_max in the shaft.

T = 200 N·md = 25 mm

τ_max = MPa

2.Easy

A hollow circular shaft with outer diameter 60 mm and inner diameter 30 mm carries a torque of 250 N·m. Find the maximum shear stress τ_max.

T = 250 N·md_o = 60 mmd_i = 30 mm

τ_max = MPa

3.Medium

A solid brass shaft is fixed at the wall and twisted by a torque T at its free end. Find the angle of twist φ of the free end, in degrees.

T = 200 N·md = 50 mmL = 1.2 mG = 39 GPa

φ = °

4.Medium

A solid steel shaft is fixed at the wall and twisted by a torque T at its free end. Find the angle of twist φ of the free end, in degrees.

T = 500 N·md = 50 mmL = 1.2 mG = 80 GPa

φ = °

5.Hard

A solid steel shaft of diameter 60 mm is fixed at A. A torque of 200 N·m acts at B, 1.5 m from A, and a torque of 100 N·m in the same direction acts at the free end C, a further 2 m along. Find the magnitude of the angle of twist φ_C of end C, in degrees.

d = 60 mmT_B = 200 N·mT_C = 100 N·mAB = 1.5 mBC = 2 mG = 80 GPa

φ_C = °

6.Hard

A hollow shaft transmits 100 kW at 500 rpm. Find the maximum shear stress τ_max in the shaft.

P = 100 kWN = 500 rpmd_o = 40 mmd_i = 28 mm

τ_max = MPa

Answer key

1. τ_max = 65.19 MPa
2. τ_max = 6.288 MPa
3. φ = 0.5746 °
4. φ = 0.7003 °
5. φ_C = 0.3659 °
6. τ_max = 200 MPa

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