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The ratio of the maximum deflections of a simply supported beam...

This question belongs to Civil Engineering Theory Of Structures
Theory of Structures
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The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

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Correct Answer: Option D
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4 Comments
Girishkumar Gange
Girishkumar Gange 5 years ago
Maximum deflection at centre of span for simply supported beam = wl^3/48EI
And maximum deflection at the free end for cantilever beam of same span= wl^3/3EI
Ratio=(Wl^3/48EI)÷(wl^3/3EI)
=1/16 is the Correct Answer
Muhammad Imran
Muhammad Imran 6 years ago
For Simply Supported beam deflection= PL^3/48EI
For Cantilever beam deflection= PL^3/3EI
ratio=PL^3/48EI * 3EI/PL^3=3/48=1/16
Abhishek Singh
Abhishek Singh 7 years ago
WL^2/48EI *3EI/WL^3 = 1/16L
Prakash Neupane
Prakash Neupane 8 years ago
Maximum deflection at centre of span for simply supported beam = wl^3/48EI
And maximum deflection at the free end for cantilever beam of same span= wl^3/3EI
Ratio=(Wl^3/48EI)÷(wl^3/3EI)
=1/16
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