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A tee beam section having effective depthof $420$ mm flange width of $1250$ mm, sub width of $320$ mm, slab thickness of $110$ mm, comprises of $7$ bars of $7$ bars of $28$ mm $\phi$

Assuming concrete of $M20$ grade and HYSD steel of grade $F_{e415}$ . Calculate ultimate moment of resistance of the section.

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Data: $b_f =1250 mm\\ D_f = 110 mm \\ b_w =320 mm\\ d = 420 mm\\ Ast = 7-28 mm\\ =7\times\dfrac \pi4 \times 28^2=4310.26 mm^2\\ Assume \space X_u \lt D_f [\text{ N.A lies in the flange }]\\ C_u=T_u\\ 0.36 f_ckb_fX_u=0.87f_yAst \\ 0.36\times20\times1250\times X_u=0.87\times415\times4310.26\\ X_u=172.91 mm \\ X_u \gt D_f.... \text{ …

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