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In the given diagram, calculate the Deflection of point B. 

(Take Young's modulus of elasticity = E and I = Moment of Inertia)

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UKPSC JE Civil 8 May 2022 Official Paper-I
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  1. 95/24 EI
  2. 95/48 EI
  3. 105/24 EI
  4. 105/48 EI

Answer (Detailed Solution Below)

Option 1 : 95/24 EI
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Detailed Solution

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Concept:

Deflection at the free end of the cantilever beam, due to point load at the free end and uniformly distributed load (udl) over the whole span:

Calculation:

Given

Deflection at B (ΔB) = 

Deflection at B (ΔB) =  = 

Deflection at B (ΔB) = 

Hence option (1) is the correct answer.

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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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