In a two hinged parabolic an increase in temperature will

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BPSC AE Paper V Civil 19 Dec 2024 Official Paper
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  1. decrease the horizontal thrust
  2. make no change in the horizontal ​thrust
  3. decrease the bending moment
  4. increase the horizontal thrust

Answer (Detailed Solution Below)

Option 4 : increase the horizontal thrust
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Detailed Solution

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Explanation:

In a two-hinged parabolic arch, temperature rise causes the arch to expand horizontally. Since the supports are hinged and cannot move, this thermal expansion leads to:

  • Increased horizontal thrust to maintain the equilibrium.

  • This is due to the development of internal compressive forces along the arch axis.

Additional Information

  • Two-hinged arches are statically indeterminate.

  • When temperature increases, the crown tries to rise due to thermal expansion.

  • But the hinges resist this deformation → hence internal force builds up → horizontal thrust increases.

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