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Reinforcement for a R.C beam

Design the reinforcement for a R.C beam of size 230mm x 500mm overall depth supported between an effective span of 6 m. It is subjected to udl D.L + L.L. (service load) of 35 KN/m. Use $M_{20}$ Concrete and $F_{e415}$ steel. - | $\frac{dc}{d}$ | 0.05 | 0.1 | 0.15 | 0.2 | |----------------|-------|-------|-------|-------| | $f_{sc}$ | 355.1 | 351.9 | 342.4 | 329.2 |

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$$b = 230 \ mm,\ D=500 \ mm,\ D_c=50 \ mm \ (assumed),\ l=6m,\ D.L+L.L=35KN/m,\ M_{20} \ \ \& \ \ F_{e415}$$

0.1 351.9
0.11 $f_{sc}=350N/mm^2$
0.15 342.4

$$f_{cc}=0.446f_ck=8.92N/mm^2$$ ![enter image description here][1] $$BM_{\max}=\frac{wl^2}{8}=\frac{35{\times}6^2}{8}=157.5KNm$$

$M_d$ $=1.5 {\times}BM \\ =1.5 {\times}157.5 \\ =236.5KNm$

$M_{u \max}$ $= 0.138 f_ckbd^2 \\ =0.138{\times}20{\times}230{\times}450^2 \\ …

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