A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at “A” is equal to zero? 
A. 0.5L
B. 0.25L
C. 0.33L
D. 0.66L
Answer: Option C
Solution (By Examveda Team)
δ1=PL3/3EI due to point load P (downward)δ2=ML2/2EI due to moment P(L - x) (upward)
⇒δ2=P(L−x)L2/2EI
For zero displacement at point A, δ1 = δ2
⇒PL3/3EI=P(L−x)L2/2EI
⇒ x = L/3 = 0.33 L
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