The equation of a parabolic arch of span 'L' and central height h is given by

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BPSC AE Paper V Civil 19 Dec 2024 Official Paper
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  1. \(y = 8h \times (L - x) / L^2\)
  2. \(y = 3h \times (L - x) / L^2\)
  3. \(y = h \times (L - x) / L^2\)
  4. \(y = 4h \times (L - x) / L^2\)

Answer (Detailed Solution Below)

Option 4 : \(y = 4h \times (L - x) / L^2\)
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Detailed Solution

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Explanation:

  • An arch is a curved structural element that spans an opening and supports loads from above by transferring them as compressive forces along its curve to the supports (abutments) at the ends.

  • Arches work mainly in compression, unlike beams which primarily resist bending.

  • They are widely used in bridges, doorways, tunnels, and buildings due to their ability to carry heavy loads efficiently.

  • The equation of a parabolic arch of span 'L' and central height h is given by \(y = 4h \times (L - x) / L^2\)

Additional InformationTypes of Arches:

  • Three hinged arches
  • Two hinged arches
  • Fixed arches

F1 Abhayraj Anil 05.02.21 D2

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