Question

The two hinged parabolic arch of span and rise 'h' carries a load varying from zero at the left end to w per unit run at the right end. The horizontal thrust is :

• A. $(wl{)}^2/8h$
• B. $(wl{)}^2/12h$
• C. $(wl{)}^2/16h$
• D. $(wl{)}^2/4h$

Answer 1

The correct option is C $(wl{)}^2/16h$



$yatanysection\left(a\right)-\left(a\right)=\frac{4h}{l^2}\left(x\right)(l-x)$

$y=\frac{4h}{l^2}\left(x\right)(l-x)$

Reactions at the support-

(i) vertical support reaction

$V_B=\frac{wl}{3},V_A=\frac{wl}{6}$

(ii) Horizontal thrust :

$H=\frac{w{l}^2}{16h}\left(Remember\right)$