Numerical - Diameter of shaft - Maximum shear stress theory

Q.  Calculate diameter of shaft using maximum shear stress theory,when equivalent torque of 1000 x 103 N-mm acts on the shaft. 50 Mpa is the allowable shear stress for the shaft
- Published on 14 Sep 15

a. 100.9 mm
b. 319.15 mm
c. 46.70 mm
d. Insufficient data

ANSWER: 46.70 mm

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    Discussion

  • Sravanthi   -Posted on 03 Nov 15
    - Maximum shear stress theory: According to this theory, failure occurs when maximum shear stress is equal to maximum shear stress in simple tension.

    Given: Equivalent torque = 1000 x 103 N-mm, allowable shear stress (τmax) = 50 Mpa

    τmax = 16 T / πd3

    Substituting the given values we get,

    50 = (16 x 1000 x 103 ) / πd3

    d3 = 101859.16

    d = 46.70 mm

    - Diameter of shaft = 46.70 mm

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