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A rectangular beam $230mm \times 550mm$ depth is subjected to a sagging bending moment of $40kNm,$ shear force of $30kN,$ and a twisting moment of $12kNm$ at a given section.
written 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 3.4 years ago

Design the reinforcement at he given section take load factor $1.5.$ Assume effective cover $50mm.$ Use $M20$ grade of concrete $F_{e415}$ grade of steel.
reinforced concrete structures theory
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written 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 7.9 years ago

Data $b=230 \\ D=550mm, \\ d_c=50mm \\ d=500mm \\ M=40kNm \\ V=30 kN \\ T=12 kNm \\ f_{ck}=20 N/mm^2\\ f_y=415 N/mm^2 \\ M_d=1.5×40=60kNm. \\ V_u=1.5×30=45kNm. \\ T_u=1.5×12=18kNm \\ Now, M_t=\dfrac {T_u×[1+D⁄b]}{1.7}= \dfrac{18×10^6×[1+550⁄230]}{1.7} \\ M_t=35.91kNm \\ M_u= M_d+M_t =60+35.91=95.91 kNm \\ Here\space M_d \gt M_t \\ \text{ Provide singly reinforced section …

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