Grade-2 Registered Structural Engineer (China)

Practice session

A simply supported reinforced concrete rectangular beam has a section width $b = 250\text{ mm}$, total depth $h = 500\text{ mm}$, and effective depth $h_0 = 460\text{ mm}$. It is cast with C30 concrete ($f_c = 14.3\text{ N/mm}^2, f_t = 1.43\text{ N/mm}^2, \alpha_1 = 1.0$) and reinforced with 4Φ20 tension steel bars of grade HRB400 ($f_y = 360\text{ N/mm}^2, A_s = 1256\text{ mm}^2$). Compression reinforcement is not provided. According to the Code for Design of Concrete Structures (GB 50010-2010, 2015 Edition), what is the ultimate flexural moment capacity $M_u$ of this cross-section?

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