Question

A beam with a span of 4.5 meters carries a point load of 30 kN at 3 meters from the left support. If for the section, \( I_{xx} = 54.97 \times 10^{-6} \) m\(^4\) and \( E = 200 \) GN/m\(^2\), then the deflection under the load is:

• A. 7.11 mm
• B. 4.09 mm
• C. 3.27 mm
• D. 5.92 mm

Hint:

- Use beam deflection formulas for accurate results. - Support conditions determine the correct equation.

Answer 1

The Correct Option is B

- Deflection at load point for simply supported beams with a point load is given by: \[ \delta = \frac{P a b}{6 E I} (L - a) \] Substituting the given values: \[ \delta = 4.09 \text{ mm} \]