TGPSC HMWSSB Manager 2015 Paper 2 · Question 92

Question 92 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.

1. Manager 2015 Paper 2 (Civil) · Q92 · Strength of Materials & Structural Analysis · Strength of Materials

   A rectangular section of a beam is acted upon by certain amounts of shear force and bending moment. Whereas the shear stress varies ______, the variation of bending stress is ______ along the depth.

   1. linear with zero value at centroid, linear with zero value at centroid
   2. parabolic with zero value at centroid, linear with zero value at centroid
   3. parabolic, with zero value at top & bottom, linear with zero value at middle
   4. linear with zero value at centroid, parabolic with zero value at top & bottom
   Show answer

   Answer: (3) parabolic, with zero value at top & bottom, linear with zero value at middle

   In a rectangular section the shear stress τ = (F/2I)(d²/4 − y²) is parabolic, zero at the top and bottom and maximum (1.5 times average) at the neutral axis, while bending stress σ = My/I is linear and zero at the neutral axis (middle).

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