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
Answer: Option
Explanation:
No answer description is available. Let's discuss.
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.

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.

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 ).
(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).
(1)

Ashish said:   1 decade ago
Option D is correct.

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.

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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