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A reinforced concrete member is subjected tocombined action of combined action ofcompressive axial force and bending moment. If ∈cis the best least compressive strain in themember, fy, the yield stress of steel and, Es, themodulus of elasticity of steel, the maximum permissible compressive strain in concrete member will be
  • a)
    0.002
  • b)
    0.002 fy(1.15 Es)
  • c)
    0.0035 – 0.75 ∈c
  • d)
    0.0035
Correct answer is option 'C'. Can you explain this answer?
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A reinforced concrete member is subjected tocombined action of combine...
Maximum Permissible Compressive Strain in a Reinforced Concrete Member

Given parameters:
- Least compressive strain in the member = c
- Yield stress of steel = fy
- Modulus of elasticity of steel = Es

We need to find the maximum permissible compressive strain in the concrete member.

Effect of Axial Force and Bending Moment on Compressive Strain

When a reinforced concrete member is subjected to both compressive axial force and bending moment, the compressive strain in concrete is affected by both the forces. The compressive strain due to axial force alone can be calculated as:
εc = P / Ac × Ec
where P is the axial force, Ac is the cross-sectional area of the member, and Ec is the modulus of elasticity of concrete.

The compressive strain due to bending moment alone can be calculated as:
εcb = (M × y) / Ic × Ec
where M is the bending moment, y is the distance from the neutral axis to the extreme fiber, Ic is the moment of inertia of the cross-section about the neutral axis, and Ec is the modulus of elasticity of concrete.

Maximum Permissible Compressive Strain

The maximum permissible compressive strain in a reinforced concrete member is limited by the occurrence of concrete crushing or steel yielding. The code of practice specifies the values for maximum permissible compressive strain based on these limits.

As per the code of practice, the maximum permissible compressive strain in a reinforced concrete member subjected to combined action of axial force and bending moment is given by:
εcu = 0.0035 × (0.75c + 0.003fy/Es)
where εcu is the maximum permissible compressive strain, c is the least compressive strain in the member, fy is the yield stress of steel, and Es is the modulus of elasticity of steel.

Therefore, the correct option is (c) 0.0035 × (0.75c + 0.003fy/Es).
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A reinforced concrete member is subjected tocombined action of combined action ofcompressive axial force and bending moment. If cis the best least compressive strain in themember, fy, the yield stress of steel and, Es, themodulus of elasticity of steel, the maximum permissible compressive strain in concrete member will bea)0.002b)0.002 fy(1.15 Es)c)0.0035 0.75 cd)0.0035Correct answer is option 'C'. Can you explain this answer?
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A reinforced concrete member is subjected tocombined action of combined action ofcompressive axial force and bending moment. If cis the best least compressive strain in themember, fy, the yield stress of steel and, Es, themodulus of elasticity of steel, the maximum permissible compressive strain in concrete member will bea)0.002b)0.002 fy(1.15 Es)c)0.0035 0.75 cd)0.0035Correct answer is option 'C'. 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 A reinforced concrete member is subjected tocombined action of combined action ofcompressive axial force and bending moment. If cis the best least compressive strain in themember, fy, the yield stress of steel and, Es, themodulus of elasticity of steel, the maximum permissible compressive strain in concrete member will bea)0.002b)0.002 fy(1.15 Es)c)0.0035 0.75 cd)0.0035Correct answer is option 'C'. 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 A reinforced concrete member is subjected tocombined action of combined action ofcompressive axial force and bending moment. If cis the best least compressive strain in themember, fy, the yield stress of steel and, Es, themodulus of elasticity of steel, the maximum permissible compressive strain in concrete member will bea)0.002b)0.002 fy(1.15 Es)c)0.0035 0.75 cd)0.0035Correct answer is option 'C'. Can you explain this answer?.
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