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13 Jan 2022

Given information

It is given that there is a round arch and pointed arch 

Also the horizontal force exerted by pointed arch is one-third the horizontal force exerted by round arch   

Step-by-step explanation

Step 1.

Round arch and its free body diagram is as shown below :

 

represents the weight of load equally divided into 2 forces acting on either side of the center of arch, horizontal force and upward  force which supports the arch to be in equilibrium respectively 

acts at point from the top center  of arch 

For rotational equilibrium, each support exerts a horizontal force, at the base of the arch

At both end of the arch  same forces act and the arch is in equilibrium

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