Civil Engineering MCQAE Level Civil Engineering
The maximum deflection at the free end of a cantilever of span L under UDL of intensity w is:
Structural AnalysisCantilever DeflectionMEDIUM
Choose the correct answer
A
wL⁴/3EI
B
wL⁴/4EI
C
wL⁴/8EI
D
wL⁴/16EI
Correct Answer
C. wL⁴/8EI
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For a cantilever with UDL: δ_max = wL⁴/(8EI) at the free end. This result is obtained by double integration of the bending equation or by energy methods.
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