Question

A three hinge arch has a span of 16 m and rise is 4 m. It carries a point load of 80 kN at 4 m from the left end hinge. The value of horizontal reaction is equal to

• A. $30kN$
• B. $50kN$
• C. $40kN$
• D. $20kN$

Answer 1

The correct option is C $40kN$



$R_1\times 16-80\times 12=0$
$\Rightarrow R_1=60kN$
$\Rightarrow R_2=20kN$
Now,



$60\times 8-80\times 4-H\times 4=0$
$\Rightarrow H=40kN$