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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 less ductile than section Y
  • c)
    Section X and Y have equal flexural strength but different ductility
  • d)
    Section X and Y have equal flexural strength and ductility.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two rectangular under-reinforced concrete beam sections X and Y are si...

Due to presence of more compression steel in section Y, NA of section of Y is above than as of X. It means Y is more under-reinforced than X so ductility of Y is more. Since compression steel of Y is more so flexure resistance of X is less than as of Y.
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Two rectangular under-reinforced concrete beam sections X and Y are si...
Introduction:
The question compares two rectangular under-reinforced concrete beam sections, X and Y. Section Y has 10% more longitudinal compression reinforcement compared to section X. The objective is to determine the correct statement regarding the flexural strength and ductility of these sections.

Explanation:

1. Flexural Strength:
Flexural strength refers to the ability of a material or structure to resist deformation when subjected to bending. In this case, we can analyze the flexural strength of sections X and Y.

- The flexural strength of a reinforced concrete beam is primarily determined by the amount and distribution of reinforcement. More reinforcement generally leads to higher flexural strength.
- Section Y has 10% more longitudinal compression reinforcement than section X. This additional reinforcement increases the flexural strength of section Y compared to section X.

2. Ductility:
Ductility is the ability of a material to undergo significant deformation without rupture or failure. It is an important property of reinforced concrete structures to resist sudden failure and provide warning signs before failure occurs.

- In a reinforced concrete beam, ductility is primarily influenced by the amount of tension reinforcement. Adequate tension reinforcement provides ductility by allowing the beam to undergo significant deformation before failure.
- Section Y, with 10% more longitudinal compression reinforcement, does not have any significant effect on the tension reinforcement in the beam. Therefore, the ductility of sections X and Y remains similar.

Conclusion:

Based on the above analysis, the correct statement is:

Option A: Section X has less flexural strength and is less ductile than section Y.

Section X has less flexural strength because it has less longitudinal compression reinforcement compared to section Y. However, both sections have similar ductility since the amount of tension reinforcement (which primarily affects ductility) remains unchanged.

Therefore, the correct answer is option A.
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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 Yb)Section X has less flexural strength but is less ductile than section Yc)Section X and Y have equal flexural strength but different ductilityd)Section X and Y have equal flexural strength and ductility.Correct answer is option 'A'. Can you explain this answer?
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