Civil Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 2 (Q.No. 29)
29.
A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at
Discussion:
10 comments Page 1 of 1.
Ajay Desai said:
7 years ago
Deflection for cantilever udl = wl^4/8EI.
Deflection for point load = pl^3/3EI.
Equating both deflections.
Wl^4/8EI=pl^3/3EI.
Here p=3wl/8.
Let a section xx at the distance x from the free end.
Then, Mx = p*x-w*x*x/2.
Mx= 3wlx/8 -wxx/2.
For Mx = 0.
So, x=(3/4)l, so at 3/4 distance from the free end where BM=0.
Deflection for point load = pl^3/3EI.
Equating both deflections.
Wl^4/8EI=pl^3/3EI.
Here p=3wl/8.
Let a section xx at the distance x from the free end.
Then, Mx = p*x-w*x*x/2.
Mx= 3wlx/8 -wxx/2.
For Mx = 0.
So, x=(3/4)l, so at 3/4 distance from the free end where BM=0.
(6)
Jitendra said:
8 years ago
Deflection for cantilever udl = wl^4/8EI
Deflection for point load = pl^3/3EI
Equating both deflections
Wl^4/8EI=pl^3/3EI.
Here p=3wl/8.
Let a section xx at the distance x from free end.
Then, Mx = p*x-w*x*x/2.
Mx= 3wlx/8 -wxx/2.
For Mx = 0.
So, x=3/4.
Deflection for point load = pl^3/3EI
Equating both deflections
Wl^4/8EI=pl^3/3EI.
Here p=3wl/8.
Let a section xx at the distance x from free end.
Then, Mx = p*x-w*x*x/2.
Mx= 3wlx/8 -wxx/2.
For Mx = 0.
So, x=3/4.
(4)
Roy said:
7 years ago
C is the correct answer. (3/4)L from the fixed end and (1/4) L from free.
Ranjeeth said:
5 years ago
Only UDL is given.
What is the need to take deflection for point load ?
What is the need to take deflection for point load ?
Dinesh said:
9 years ago
It should be 3/8th length from free end.
Abhik said:
6 years ago
Thanks for the answer @Jitendra.
Adhi said:
9 years ago
Can anyone please explain it?
Krunal singam said:
8 years ago
Please explain it in detail.
Satya said:
7 years ago
Thank you @Jitendra.
(1)
HASIM ANSARY said:
8 years ago
Superb @Jitendra.
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