GATE CE 2021 Set 2 — Question 51
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Structural Engineering → RC Fundamentals & Beams → Working Stress Method
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Question
A rectangular cross-section of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is . The values of modulus of elasticity of concrete and steel are and , respectively.
The distance of the centroidal axis from the centerline of the reinforcement () for the uncracked section (in mm, round off to one decimal place) is ________
Correct answer
129 to 130
Solution
1.Modular Ratio ():
2.Section Properties:
- Width
- Total depth
- Effective depth (distance from top to reinforcement centerline)
- Area of steel
For an uncracked section, the equivalent concrete area is:
4.Centroidal Axis from Top ():
Taking moments about the top edge:5.Distance :
is the distance from the centroidal axis to the reinforcement centerline:Rounding off to one decimal place, .
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