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Two cantilever beams are of equal length. One carries a uniformly distributed load and other carries same load but concentrated at the free end. The ratio of maximum deflections is:

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  1. 3/8
  2. 2/3
  3. 1/2
  4. 1/3

Answer (Detailed Solution Below)

Option 1 : 3/8
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Detailed Solution

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Explanation:

Deflection and slope of various beams are given by:

 

 

 

 

 

 

 

 

 

 


 

 


 

 


Where, y = Deflection of the beam, θ = Slope of beam

From the table,

The maximum deflection of a cantilever beam having uniformly distributed load is given as, 

...................(1)

The maximum deflection of a cantilever beam having point load is given as, 

...................(2)

From both equation,

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More Deflection of Beam Questions

Q1.Which of the following statements is true regarding a fixed beam?
Q2.A simply supported beam of span 'L' is subjected to a point load 'W' at the centre. What is the deflection at the centre?
Q3.If a simply supported beam of span L, carries a uniformly distributed load of 2w/m and the moment of inertia is I, the deflection at the centre of the beam is:
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Q6.The central deflection of a simply supported steel beam of length L with a concentrated load W at the centre, is:
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Q8.Two simply supported beams with central (mid span) concentrated loads have the following particulars. Compare the slope at the ends. Particulars  Beam A Beam B Length of the beam 5 m 10 m EI  EI  2 EI  Value of central concentrated load 2 kN 1 kN
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Q10.The integration constant C1 used in Macaulay's method of anlaysis is obtained by applying _________ to the integrated(1st integral) differential equation of given beam elastic curve.
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