Civil Engineering - GATE Exam Questions - Discussion
Discussion Forum : GATE Exam Questions - Section 1 (Q.No. 26)
26.
A cantilever beam of length L and a cross section with shape factor f supports a concentrated load P as shown below
The length LP of the plastic zone, when the maximum bending moment equals the plastic moment MP, given by

The length LP of the plastic zone, when the maximum bending moment equals the plastic moment MP, given by
Discussion:
10 comments Page 1 of 1.
Vyshnavi said:
1 decade ago
If f = L/(L-LP) , then f = 1-(LP/L) OR LP/L = f-1.
But how LP/L = 1-1/f ? Please explain in detail.
But how LP/L = 1-1/f ? Please explain in detail.
Chad said:
1 decade ago
@Vyshnavi,
f=L/(L-Lp), then 1/f = (L-Lp)/L = 1-(Lp/L) not f = 1-(Lp/L) as you stated.
f=L/(L-Lp), then 1/f = (L-Lp)/L = 1-(Lp/L) not f = 1-(Lp/L) as you stated.
Anuz said:
8 years ago
f = L /(L-Lp).
(1/f) = (L-Lp)/L.
(1/f) = (L/L) - (Lp/L).
(Lp/L) = 1 - (1/f ).
(1/f) = (L-Lp)/L.
(1/f) = (L/L) - (Lp/L).
(Lp/L) = 1 - (1/f ).
(4)
Madhumanti said:
1 decade ago
f = L/(L-Lp).
fL-fLp = L.
L(f-1) = fLp.
Lp/L = (f-1)/f.
Lp/L = 1-(1/f).
fL-fLp = L.
L(f-1) = fLp.
Lp/L = (f-1)/f.
Lp/L = 1-(1/f).
(1)
Ashish said:
1 decade ago
Option D is correct.
Mp/M = f = L/(L-Lp).
Lp/L = 1-1/f.
Mp/M = f = L/(L-Lp).
Lp/L = 1-1/f.
Kirubakara Raj said:
9 years ago
Thank you very much for your explanations.
Uttam said:
8 years ago
It is lp/l=1/f.
Ref: Agor Book.
Ref: Agor Book.
Nilima said:
7 years ago
Thanks all for explaining it.
Rahul said:
9 years ago
Thanks for explaining it.
Rohit said:
9 years ago
How f = L/L - Lp?
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