根据《公路钢筋混凝土及预应力混凝土桥涵规范》(JTG 3362-2018)第5.3.2条,查表3.1.4得C40混凝土 $f_{cd}=18.4MPa$ ;查表3.2.3-1得HRB400钢筋 $f_{sd}'=330MPa$ 、HPB300钢筋 $f_{sd}'=250MPa$ ,查3.2.1条文说明直径为32mm的截面积为804.2mm²;由 $\frac{l_{0}}{i}=30\leq48$ ,插值得 $\varphi=0.996,\quad\frac{A_{so}}{A_{s}^{'}}=30\%>25\%$ 构件核心截面面积: $A_{cor}=\frac{\pi d_{cor}^{2}}{4}=\frac{3.14\times1000^{2}}{4}=785000mm^{2}$ 纵向受压主钢筋面积: $A_{s}^{'}=20\times804.2=16084mm^{2}$ 纵向钢筋配筋率 $\rho=\frac{16084}{3.14\times600^{2}}\times100\%=1.42\%<3\%$ 式5.3.2-1计算承载力为:$$\begin{array}{l} R _ {v 2} = 0. 9 \left(f _ {c d} A _ {c o r} + f _ {s d} ^{\prime} A _ {s} ^{\prime} + k f _ {s d} A _ {s}\right) \ = 0. 9 \times (1 8. 4 \times 7 8 5 0 0 0 + 2 5 0 \times 1 6 0 8 4 + 2 \times 2 5 0 \times 1 6 0 8 4 \times 0. 3) = 1 8 7 8 9 8 4 0 N = 1 8 7 9 0 k N \end{array}$$(3) 按式 5.3.1 计算承载力为: $$R _ {v 1} = 0. 9 \varphi \left(f _ {c d} A + f _ {s d} ^{\prime} A _ {s} ^{\prime}\right)$$ $$= 0. 9 \times 0. 9 9 4 \times (1 8. 4 \times 3. 1 4 \times 6 0 0 ^ {2} + 2 5 0 \times 1 6 0 8 4) = 2 2 2 0 4 2 9 4 N = 2 2 2 0 4 k N$$(4) $R_{u2} < R_{u1}$ ,不应考虑间接钢筋的套箍作用,按式5.3.1取承载力为 $22204\mathrm{kN}$
参考答案: C