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Consider the following statement:
In an under-reinforced concrete beam,
1. actual depth of neutral axis is less than the critical depth of neutral axis.
2. concrete reaches ultimate stress prior to steel reaching the ultimate stress.
3. moment of resistance is less than that of balanced sections.
4. lever arm of resisting couple is less than of balanced sections.
Which of those statements is/are correct?
  • a)
    1 and 2
  • b)
    1 and 3
  • c)
    2, 3 and 4
  • d)
    1 and 4
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider the following statement:In an under-reinforced concrete beam,...
Statement Analysis:
The given statement discusses various aspects related to under-reinforced concrete beams. Let's analyze each statement one by one.

Statement 1: The actual depth of the neutral axis is less than the critical depth of the neutral axis.
Statement 2: Concrete reaches ultimate stress prior to steel reaching the ultimate stress.
Statement 3: Moment of resistance is less than that of balanced sections.
Statement 4: Lever arm of the resisting couple is less than that of balanced sections.

Explanation:
Statement 1: The neutral axis is the line within a beam where the tensile and compressive forces are equal. In an under-reinforced concrete beam, the steel reinforcement is not sufficient to resist the tensile forces, and therefore, the concrete takes up most of the tensile forces. As a result, the neutral axis is shifted towards the compression side. Since the actual depth of the neutral axis is less than the critical depth, statement 1 is correct.

Statement 2: Ultimate stress refers to the maximum stress a material can sustain before failure. In an under-reinforced concrete beam, the concrete reaches its ultimate stress before the steel reinforcement reaches its ultimate stress. This is because the concrete has a lower tensile strength compared to the steel reinforcement. Therefore, statement 2 is correct.

Statement 3: The moment of resistance is a measure of a beam's ability to resist bending. In a balanced section, the steel reinforcement is designed to reach its yield stress at the same time as the concrete reaches its ultimate stress. This results in a balanced distribution of forces and a higher moment of resistance. However, in an under-reinforced section, the steel reinforcement does not reach its yield stress before the concrete reaches its ultimate stress, leading to a lower moment of resistance. Hence, statement 3 is correct.

Statement 4: The lever arm of the resisting couple is the perpendicular distance between the neutral axis and the centroid of the steel reinforcement. In a balanced section, the lever arm is larger compared to an under-reinforced section because the neutral axis is shifted towards the compression side. As a result, the resisting couple generated by the steel reinforcement is greater in a balanced section. Therefore, statement 4 is incorrect.

Conclusion:
Based on the analysis, statements 1, 2, and 3 are correct, while statement 4 is incorrect. Therefore, the correct answer is option 'B' (1 and 3).
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Community Answer
Consider the following statement:In an under-reinforced concrete beam,...
I think 1,3&4 are the correct statements
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Consider the following statement:In an under-reinforced concrete beam,1. actual depth of neutral axis is less than the critical depth of neutral axis.2. concrete reaches ultimate stress prior to steel reaching the ultimate stress.3. moment of resistance is less than that of balanced sections.4. lever arm of resisting couple is less than of balanced sections.Which of those statements is/are correct?a)1 and 2b)1 and 3c)2, 3 and 4d)1 and 4Correct answer is option 'B'. Can you explain this answer?
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Consider the following statement:In an under-reinforced concrete beam,1. actual depth of neutral axis is less than the critical depth of neutral axis.2. concrete reaches ultimate stress prior to steel reaching the ultimate stress.3. moment of resistance is less than that of balanced sections.4. lever arm of resisting couple is less than of balanced sections.Which of those statements is/are correct?a)1 and 2b)1 and 3c)2, 3 and 4d)1 and 4Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Consider the following statement:In an under-reinforced concrete beam,1. actual depth of neutral axis is less than the critical depth of neutral axis.2. concrete reaches ultimate stress prior to steel reaching the ultimate stress.3. moment of resistance is less than that of balanced sections.4. lever arm of resisting couple is less than of balanced sections.Which of those statements is/are correct?a)1 and 2b)1 and 3c)2, 3 and 4d)1 and 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statement:In an under-reinforced concrete beam,1. actual depth of neutral axis is less than the critical depth of neutral axis.2. concrete reaches ultimate stress prior to steel reaching the ultimate stress.3. moment of resistance is less than that of balanced sections.4. lever arm of resisting couple is less than of balanced sections.Which of those statements is/are correct?a)1 and 2b)1 and 3c)2, 3 and 4d)1 and 4Correct answer is option 'B'. Can you explain this answer?.
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