In a two-hinged parabolic arch (consider arch to be initially unloaded) an increase in temperature induces -

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BPSC AE Paper 5 (Civil Engineering) 2019 Official Paper
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  1. no bending moment in the arch rib.
  2. uniform bending moment in the arch rib.
  3. maximum bending moment at the crown.
  4. minimum bending moment at the crown.

Answer (Detailed Solution Below)

Option 3 : maximum bending moment at the crown.
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F1 N.M Madhu 10.04.20 D19

As loading is UDL and the shape of the arch is parabolic so there will be no moment in the arch rib.

But as the temperature increases in a two hinged arch (degree of indeterminacy one), the horizontal thrust will increase.

Moment due to horizontal thrust is – Py.

So maximum bending moment will be at crown as crown has highest value of y. 
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