TGPSC HMWSSB Manager 2015 Paper 2 · Question 103

Question 103 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) · Q103 · Strength of Materials & Structural Analysis · Strength of Materials

   At a point in elastic medium normal stresses in two mutually perpendicular directions are 120 MPa, 40 MPa (both tensile) associated with a tangential stress of 30 MPa. The principal stresses at the location are ______.

   1. 120 MPa, 40 MPa (both tensile)
   2. 130 MPa, 30 MPa (both tensile)
   3. 130 MPa, 30 MPa (both compressive)
   4. 130 MPa (tensile), 30 MPa (compressive)
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   Answer: (2) 130 MPa, 30 MPa (both tensile)

   Centre of Mohr's circle = (120 + 40)/2 = 80 MPa and radius = √(40² + 30²) = 50 MPa, so σ1 = 80 + 50 = 130 MPa and σ2 = 80 − 50 = 30 MPa, both tensile.

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