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GATE-Civil-Engg-2018-->View question

Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is 10% more. Which one of the following is the correct statement? (GATE-CIVIL-Engg-2018)

Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects
except that the longitudinal compression reinforcement in section Y is 10% more. Which
one of the following is the correct statement?
(A) Section X has less flexural strength and is less ductile than section Y
(B) Section X has less flexural strength but is more ductile than section Y
(C) Sections X and Y have equal flexural strength but different ductility
(D) Sections X and Y have equal flexural strength and ductility


Asked On2019-04-11 14:01:44 by:naikaumprakash

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Answers
.Both the sections (X and Y) are under reinforced,
 hence in both the cases the flexural strength (moment of resistance) 
can be calculated from the tension side and is given by, 
 Moment of resistance = Tension force Lever arm 
 When additional compression reinforcement is placed i.e. 
in case of section Y, neutral axis will shift upward .i.e., 
towards compression fiber of the section which is above than that of section X. 
This shows that the section Y is more under reinforced than Section X.
Hence due to the presence of steel in compression side, 
the rotational capacity (flexural strength or moment of resistance) 
of the section Y increases (which means ductility increases). 
 Hence, one can say that Section X has less flexural strength and is less ductile than section Y. 

Answerd on:2019-05-24 Answerd By:Jaynil-Gaglani

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