Question

The maximum bending moment and support reaction in a continuous beam of two equal spans with end supports on hinges, and subjected to uniformly distributed load over the entire length are, respectively

• A. $-w{l}^2/12,1.12wl$
• B. $-w{l}^2/8,wl$
• C. $-w{l}^2/12,wl$
• D. $-w{l}^2/8,1.25wl$

Answer 1

The correct option is D $-w{l}^2/8,1.25wl$




$R_B\times l=\frac{w{l}^2}{2}+\frac{w{l}^2}{8}$

$R_B\times l=\frac{5w{l}^2}{8}=\frac{5}{8}wl$

$R_B=\frac{5}{8}wl$

$DuetosummetryR{"}_B=R_B^{\prime }$

$R_B=R_B^{\prime }+R{"}_B$

$R_B=\frac{10}{8}wl=1.25wl$