Question:-
For a cantilever beam of length ‘L’ flexural rigidity EI and loaded at its free and by a concentrated load W, match Lst-I with List-II and select the correct answer
List-I
A. Maximum bending moment
B. Strain energy
C. Maximum slope
D. Maximum deflection
List-II
1. WL
2. WL2/2EI
3. WL3/3EI
4. W2L3/6EI
Option (A)
A B C D
1 4 3 2

Option (B)
A B C D
1 4 2 3

Option(C)
A B C D
4 2 1 3

Option(D)
A B C D
4 3 1 2

Correct Option:
(B)
Question Solution:
Strain enery stored in cantilever under concentrated load at free end u = ∫10 (M2dx/2El) = ∫10 {(Wx)2dx/2El}
u = (W2l3/6El)
Now differentiating partially w.r.t. W will give deflection (u/W) = d = (Wl3/3El)
Maximum bending moment at fixed end WL

Maximum slope = (Wl2/2El)
question-answer-faq-3260