Question:
The maximum deflection of a fixed beam of length \( l \) carrying a total load \( W \) being uniformly distributed over the entire length is
The maximum deflection of a fixed beam of length \( l \) carrying a total load \( W \) being uniformly distributed over the entire length is
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Fixed beams have smaller deflection compared to simply supported beams under the same loading.
Updated On: Feb 9, 2026
- \( \dfrac{Wl^3}{48EI} \)
- \( \dfrac{Wl^3}{96EI} \)
- \( \dfrac{Wl^3}{192EI} \)
- \( \dfrac{Wl^3}{384EI} \)
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the beam condition.
The beam is fixed at both ends and carries a uniformly distributed load over its entire length. Fixed supports restrict both rotation and translation.
Step 2: Using standard deflection formula.
For a fixed beam under uniformly distributed load, the maximum deflection occurs at the centre of the beam.
Step 3: Writing the formula.
The maximum deflection is given by: \[ \delta_{\max} = \frac{Wl^3}{192EI} \]
Step 4: Conclusion.
The maximum deflection of the beam is \( \dfrac{Wl^3}{192EI} \).
The beam is fixed at both ends and carries a uniformly distributed load over its entire length. Fixed supports restrict both rotation and translation.
Step 2: Using standard deflection formula.
For a fixed beam under uniformly distributed load, the maximum deflection occurs at the centre of the beam.
Step 3: Writing the formula.
The maximum deflection is given by: \[ \delta_{\max} = \frac{Wl^3}{192EI} \]
Step 4: Conclusion.
The maximum deflection of the beam is \( \dfrac{Wl^3}{192EI} \).
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