A three hinged circular arch has a span length of L and subtends at the centre of the circular curve an angle of 90°. The third hinge is located at the crown. The arch is subjected to a uniformly distributed load of w kN/m on the plan length. Calculate the equation of the bending moment in the arch as a function of the horizontal distance, x, from the crown, the span length, L, and the UDL w.
A three hinged circular arch has a span length of L and subtends at the centre of the circular curve an angle of 90°. The third hinge is located at the crown. The arch is subjected to a uniformly distributed load of w kN/m on the plan length. Calculate the equation of the bending moment in the arch as a function of the horizontal distance, x, from the crown, the span length, L, and the UDL w.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A three hinged circular arch has a span length
of L and subtends at the centre of the circular
curve an angle of 90°. The third hinge is located
at the crown. The arch is subjected to a
uniformly distributed load of w kN/m on the
plan length. Calculate the equation of the
bending moment in the arch as a function of
the horizontal distance, x, from the crown, the
span length, L, and the UDL w.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbf14821-467a-424e-93f7-e4bb3d0f1ba7%2F22c5893d-1d32-442a-ba30-8dd8adc75901%2Fzewp9tc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A three hinged circular arch has a span length
of L and subtends at the centre of the circular
curve an angle of 90°. The third hinge is located
at the crown. The arch is subjected to a
uniformly distributed load of w kN/m on the
plan length. Calculate the equation of the
bending moment in the arch as a function of
the horizontal distance, x, from the crown, the
span length, L, and the UDL w.
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