根据《公路钢筋混凝土及预应力混凝土桥涵规范》(JTG 3362-2018),查表3.1.4,C30 混凝土,$f_{cd}=13.8MPa$;查表 3.2.3-1,HPB300 钢筋,$f_{sd}=250MPa$,$f_{sd}'=250MPa$;查表 5.3.1,长细比 35,$\varphi=0.98$。(1)根据第 5.3.1 条,按式(5.3.1)计算正截面抗压承载力为:全部纵向钢筋的截面面积:$A_s = 30 \times \pi \times 28^2 / 4 = 18463.2 mm^2$。$N_{u1} = 0.9\varphi(f_{cd}A + f_{sd}'A_s) = 0.9 \times 0.98 \times (13.8 \times \pi \times 1500^2/4 + 250 \times 18463.2) = 25569224N = 25569kN$。(2)根据第 5.3.2 条,按式(5.3.2-1)计算正截面抗压承载力为:构件核心截面面积:$A_{cor} = \pi \times 1200^2/4 = 1130400mm^2$。$N_{u2} = 0.9(f_{cd}A_{cor} + f_{sd}'A_s + k f_{sd}'A_{s0}) = 0.9 \times (13.8 \times 1130400 + 250 \times 18463.2 + 2 \times 250 \times 18463.2 \times 0.25) = 20270898N = 20271kN$。$N_{u2} < N_{u1}$,不应考虑间接钢筋的套箍作用,按式(5.3.1)计算正截面抗压承载力,取 25569kN。
参考答案:C