Numerical - Maximum shear stress, given torsional shear stress & direct compressive stress

Q.  A triple start square threaded power screw has torsional shear stress and direct compressive stress of 5 N/mm2 and 7 N/mm2. Calculate maximum shear stress induced in a screw body.
- Published on 14 Sep 15

a. 7.4 N/mm2
b. 3.5 N/mm2
c. 6.10 N/mm2
d. 5 N/mm2

ANSWER: 6.10 N/mm2

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    Discussion

  • Sravanthi   -Posted on 04 Nov 15
    Torsional shear stress: This stress is induced due to twisting moment or torque

    Given: Torsional shear stress = 5 N/mm2, Direct compressive stress = 7 N/mm2

    Formula: τmax = √(σ/2)2 + τ2

    here,
    τmax = maximum shear stress
    τ = torsional shear stress
    σ = direct compressive stress


    Solution:

    Substituting the given values we get,

    τmax = √(σ/2)2 + τ2

    = √(7/2)2 + 52

    = 6.10 N/mm2

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