Question

A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce deflection?

• A. Increase the area moment of inertia
• B. Increase the span of the beam
• C. Select a different material having lesser modulus of elasticity
• D. Magnitude of the load to be increased

Answer 1

The correct option is A Increase the area moment of inertia

From differential equation of elastic curve
$\frac{d^{2}y}{d{x}^2}=\frac{M}{EI}$
$\therefore y=\frac{1}{EI}\int \int Mdx+C_{1}x+C_2$
As area moment $\left(I\right)$ increases, the deflection $\left(y\right)$ will reduce.