GATE CE 2014 Set 1 — Question 46
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Structural Engineering → RC Fundamentals & Beams → Working Stress Method
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Question
In a reinforced concrete section, the stress at the extreme fibre in compression is 5.80 MPa. The depth of neutral axis in the section is 58 mm and the grade of concrete is M25. Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per mm) is
Correct answer
(C) 4.0 × 10⁻⁶
Solution
Given:
Stress at extreme fiber, MPa
Depth of neutral axis, mm
Grade of concrete, M25 MPa
Modulus of elasticity of concrete, MPa.
Assuming linear elastic behavior, the strain at the extreme fiber is:
.
The effective curvature is defined as the strain per unit depth from the neutral axis:
per mm.
Stress at extreme fiber, MPa
Depth of neutral axis, mm
Grade of concrete, M25 MPa
Modulus of elasticity of concrete, MPa.
Assuming linear elastic behavior, the strain at the extreme fiber is:
.
The effective curvature is defined as the strain per unit depth from the neutral axis:
per mm.
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