A symmetrical parabolic arch of span 19 m and rise 4 m is hinged at the springings. It supports a uniformly distributed load of 1.5 tonnes per meter run of the span. The horizontal thrust in tonnes at each of the springing is -

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  1. 20.63
  2. 16.92
  3. 8.5
  4. Zero

Answer (Detailed Solution Below)

Option 2 : 16.92
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Explanation:

F1 Abhishek M 12.4.21 Pallavi D1

Horizontal thrust at springings A and B = \(\frac{{w{L^2}}}{{8h}}\)

Where, L = 19 m

h = 4 m

\({H_A} = \frac{{w{L^2}}}{{8h}}\)

\({H_A} = \frac{{1.5 \times {{19}^2}}}{{8 \times 4}}\)

HA = 16.92 tonnes

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