Question

The horizontal thrust support A in a three hinged arch shown in the given figure is

• A. 10 kN
• B. 4 kN
• C. 2 kN
• D. 8 kN

Answer 1

The correct option is B 4 kN

$\text{The vertical reaction at B}=V_B$
And the horizontal thrust at A and B be H.

Taking moment of forces of right segment about C

$V_B\times 10=H\times 5$
$H=2V_B$
$\Rightarrow V_B=0.5H$
For left segment, taking moment about C.

$V_A\times 8-H\times 4-8\times 4=0$
$V_A=0.5H+4$
$\text{But}{V}_A+V_B=8kN$
$\therefore H=4kN$