Question

A beam of span \( L \) and is fixed at both ends. If that beam is subjected to a concentrated load at the middle of the span, what is the fixed end moment at the left end?

• A. \( \frac{W L}{2} \)
• B. \( \frac{W L}{4} \)
• C. \( \frac{W L}{12} \)
• D. \( \frac{W L}{6} \)

Hint:

For beams fixed at both ends, refer to standard formulas for fixed-end moments under point loads. The moment can be calculated easily using these formulas.

Answer 1

The Correct Option is B

For a beam fixed at both ends and subjected to a point load \( W \) at the middle, the moment at the fixed ends can be found using the moment distribution method or from standard tables of moments. The fixed-end moment is \( \frac{W L}{4} \). Hence, the correct answer is \( \frac{W L}{4} \).