Question:-
The two cantilevers A and B shown in the above figure have the same uniform cross-section and: the same material. Free end deflection of cantilever ‘A’ is d. The value of mid-span deflection of the cantilever ‘B’ is

Option (A)
(1/2)d
Option (B)
(2/3)d
Option(C)
d
Option(D)
2d
Correct Option:
(C)
Question Solution:

Sc = (PL3 / 3El) + (PL2 / 2El) x L = (5PL3 / 6El)

Hinge can’t provide moment.

dc = PL3 / 3El
dD = (1/El)[{w(2L-L)3 / 6} + {w(2L)2L / 2} – {w(2L)3 / 6}]
dD = (5/6)(wL3 / El) = dc
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