Direction: A doubly reinforced rectangular concrete beam has a width of 300 mm and an effective depth of 500 mm. The beam is reinforced with 2200 mm2 of steel in tension and 628 mm2 of steel in compression. The effective cover for compression steel is 50 mm. Assume that both tension and compression steel yield. The grades of concrete and steel used are M20 and Fe250 respectively. The stess lock parameters (rounded off to first two decimal places) for concrete shall be as per IS 456: 2000.
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The moment of resistance of the section is
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- 206.00 kN–m
- 209.20 kN–m
- 236.80 kN–m
- 251.90 kN–m
Correct Option: B
MR = 0.36 × fck (d – 0.42 x) + fsc Asc × (d – d1)
= 0.36 × 20 × 300 × 160.91 (500 – 0.42 × 160.91) + 0.87 × 250 × 628 (500 – 50)
= 211.75 ×106 ≈ 209.2 kN–M