Question

A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figure. Assume $E_{steel}=200Gpa$.

The value of maximum deflection of the beam is

• A. $93.75mm$
• B. $83.75mm$
• C. $73.75mm$
• D. $63.75mm$

Answer 1

The correct option is A $93.75mm$

Moment of inertia,
$I=\frac{b{h}^3}{12}=\frac{120\times (750{)}^3}{12}=42.1875\times {10}^{8}m{m}^4$
Maximum deflection in the beam is given by
$\delta =\frac{5}{384}\frac{w{L}^4}{EI}$
$=\frac{5}{384}\times \frac{120\times {10}^3}{{10}^3}\times \frac{(15\times {10}^3{)}^4}{200\times {10}^3\times 42.1875\times {10}^8}$
$=93.75mm$