GATE CE 2025 Set 2 — Question 40
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Structural Engineering → RC Fundamentals & Beams → Limit State Method
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Question
Consider a reinforced concrete beam section of 350 mm width and 600 mm depth. The beam is reinforced with the tension steel of 800 mm area at an effective cover of 40 mm. Consider M20 concrete and Fe415 steel. Let the stress block considered for concrete in IS 456:2000 be replaced by an equivalent rectangular stress block, with no change in (a) the area of the stress block, (b) the design strength of concrete (at the strain of 0.0035), and (c) the location of neutral axis at flexural collapse. The ultimate moment of resistance of the beam (in kN.m) is __________________ (round off to the nearest integer).
Correct answer
(B) 148
Solution
1.Given Data: mm, mm, effective cover = 40 mm mm. mm, MPa, MPa.
2.Neutral Axis Depth (): From using standard IS 456 area:
3.Equivalent Rectangular Stress Block:
- Area
- Design strength (stress)
- Depth of rectangular block :
- Centroid of rectangle from top:
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