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Find out ultimate moment of resistance

Find out ultimate moment of resistance of doubly reinforced rectangular section of size $250 \ mm \ {\times} \ 550 mm$ (effective) having tensile reinforcement $(3054 \ mm^2 )$ and compressive reinforcement $(982 \ mm^2 )$

The material are $M_{20}$ concrete and TOR steal.

Refer Table 1 for the values of $F_{sc}$ for various $\frac{d_c}{d}$ ratio.

1 Answer
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$\frac{dc}{d}$ $f_{sc}$
0.05 355.1
0.1 351.9
0.15 342.4
0.2 329.2

Data :- $b=250 \ mm \\ D=550 \ mm$

$Ast=3054 \ mm^2 \\ Asc=982 \ mm^2 \\ f_ck=20 N/mm^2 \\ TOR \ steal =F_{e415} \\ i.e f_y=415N/mm^2 \\ Assume \ d_c=40 mm$

Now,

$\frac{d_c}{d}=\frac{40}{550}=0.072$

0.05 355.1
0.072 $f_{sc}$
0.1 351.9 …

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