A three-hinged arch with a span of 2l and a rise of h has an isolated load W applied at a distance a from the left support. The arch is hinged at the crown. What is the horizontal reaction force at the support?

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Subject: Theory of Structurescivil-engineering-mcqs › theory-of-structures
Published: 17 Jan 2019
Last updated: 28 May 2026

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W multiplied by a divided by hW times a divided by twice hTwice W divided by the product of h and aTwice h divided by the product of W and aNone of the above

Explanation

For a three-hinged arch with an isolated load W located a distance a from the left support, the horizontal reaction at the support is calculated as (W × a) / (2h). This formula accounts for the geometry of the arch and the position of the load.

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A three-hinged arch with a span of 2l and a rise of h has an isolated load W applied at a distance a from the left support. The arch is hinged at the crown. What is the horizontal reaction force at the support?

Explanation

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