Numerical - Average shear stress, given maximum shear stress

Q.  What is the average shear stress acting on a rectangular beam, if 50 N/mm2 is the  maximum shear stress acting on it?  
- Published on 21 Sep 15

a. 31.5 N/mm2
b. 33.33 N/mm2
c. 37.5 N/mm2
d. 42.5 N/mm2

ANSWER: 33.33 N/mm2

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    Discussion

  • Venky   -Posted on 20 Apr 17
    Max.shear stress=1.5 avg.shear stress
    Avg shed stress=50/1.5
    =33.33 N/mm2
  • Sravanthi   -Posted on 24 Nov 15
    Shear stress: The stress which is parallel to the material surface, as opposed to normal stress when the stress is vertical to the surface.

    Given: Maximum shear stress (τmax) = 50 N/mm2

    Formula: τmax = (3/2) τavg

    Solution:

    τmax = (3/2) τavg

    Substituting the given values,

    50 = (3/2) τavg

    τavg = 33.33 N/mm2

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