Numerical - Diameter of circular pipe, given - force & shear stress

Q.  A circular pipe is subjected to maximum shear force of 60 kN. What is the diameter of the pipe if maximum allowable shear stress is 5 Mpa?
- Published on 21 Sep 15

a. 27.311 mm
b. 75.56 mm
c. 142.72 mm
d. 692.10 mm

ANSWER: 142.72 mm

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    Discussion

  • Sravanthi   -Posted on 24 Nov 15
    Given: Shear force = 60 kN, maximum allowable shear stress = 5 Mpa

    Formula: 1) Maximum allowable shear stress = (4/3) x(S/A)

    2) Area of circle = (π/4) d2

    Solution:

    Maximum allowable shear stress = (16/3) (S / πd2)

    Substituting the given values,

    5 = (16/3) (60 x 103 / πd2)

    d2 = 20371.83

    d = 142.72 mm

    Diameter of the pipe is 142.72 mm

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