Civil Engineering - GATE Exam Questions - Discussion

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

[A].
[B].
[C].
[D].

Answer: Option D

Explanation:

No answer description available for this question.

Ashish said: (Jan 11, 2015)  
Option D is correct.

Mp/M = f = L/(L-Lp).
Lp/L = 1-1/f.

Vyshnavi said: (Mar 25, 2015)  
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: (Aug 6, 2015)  
@Vyshnavi,

f=L/(L-Lp), then 1/f = (L-Lp)/L = 1-(Lp/L) not f = 1-(Lp/L) as you stated.

Madhumanti said: (Sep 1, 2015)  
f = L/(L-Lp).
fL-fLp = L.

L(f-1) = fLp.
Lp/L = (f-1)/f.
Lp/L = 1-(1/f).

Kirubakara Raj said: (Aug 16, 2016)  
Thank you very much for your explanations.

Rohit said: (Sep 18, 2016)  
How f = L/L - Lp?

Rahul said: (Nov 18, 2016)  
Thanks for explaining it.

Anuz said: (Feb 10, 2018)  
f = L /(L-Lp).
(1/f) = (L-Lp)/L.
(1/f) = (L/L) - (Lp/L).
(Lp/L) = 1 - (1/f ).

Uttam said: (Mar 12, 2018)  
It is lp/l=1/f.

Ref: Agor Book.

Nilima said: (Jan 26, 2019)  
Thanks all for explaining it.

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