Numerical - Shear stress, given shear force & triangular beam dimensions

Q.  What is the shear stress acting along the neutral axis of triangular beam section, with base 60 mm and height   150 mm, when shear force of 30 kN acts?
- Published on 21 Sep 15

a. 15.36 N/mm2
b. 10.6 N/mm2
c. 8.88 N/mm2
d. Insufficient data

ANSWER: 8.88 N/mm2

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    Discussion

  • Sravanthi   -Posted on 24 Nov 15
    Given: Base of triangular beam section = 60 mm, height of triangular beam section = 150 mm, shear force = 30 kN

    Formula: Shear stress at neutral axis = (8/3) x (S / bh)

    Solution:

    Shear stress at neutral axis = (8/3) x (S / bh)

    = (8/3) x [(30 x 103) / (60 x 150)]

    = 8.88 N/mm2

    Shear stress acting along the neutral axis of triangular beam section is 8.88 N/mm2

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