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A Three Hinged Arch is Loaded with an Isolated

By BYJU'S Exam Prep

Updated on: September 25th, 2023

A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 meters apart. The horizontal thrust is-

  1. 1250 kg
  2. 125 kg
  3. 750 kg
  4. 2500 kg

Answer: A. 1250 kg

A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 meters apart. The horizontal thrust is 1250 kg.

Solution

Taking moment about point A is zero.

∑MA=0

RB×10=1000×2.5R⇒RB=250 kg

So, RA=250 kg

Taking moment about point C (from right) is zero.

1=250×5⇒H=1250 kg

Hence, Horizontal thrust is 1250 kg.

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