Question

A simply supported beam AB of span 4m is subjected to terminal couples as shown in the figure below .



If EL is in $kN-m^2$, what is the magnitude of the central deflection iof the beam in metres ?

• A. $\frac{4}{EI}$
• B. $\frac{8}{EI}$
• C. $\frac{2}{EI}$
• D. $\frac{16}{EI}$

Answer 1

The correct option is B $\frac{8}{EI}$

It is a case of pure bending and the deflected shape of the beam will be an arc of a circle . The central deflection in this case is given by

${\delta }_c=\frac{M{L}^2}{\ast EI}=\frac{4\times (4{)}^2}{8EI}=\frac{8}{EI}$