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Applications of Dot Product

Three semicir...

Question

Three semicircular symmetrical 3-hinged arches have radii 3 m, 6 m and 9 m and each arch supports the point load W at its crown. Then the ratio of horizontal thrust in these arches is

A

1 : 1 : 1

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B

1 : 2 : 3

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C

3 : 2 : 1

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D

1 : 4 : 9

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Solution

The correct option is A 1 : 1 : 1
$In three hinged semicircular arch subjected to point load W at its crown, horizontal thrust is given as H = \frac{W}{2} which is independent of radius of semi-circular arch.$

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