β12 = 0.56/(0.345+0.2) = 1.027
β12 * (2c2 + a12) * tg(θ2 / 2) * βhp * ft * ho
= 1.027*(2*1388+273)*tg29.6°*0.992*1.43*790
= 1997966N ≥ Nl = 1476000N,满足要求。
(3)、顶部角桩对承台的冲切验算:(近似计算)
扣除承台和其上填土自重后的角桩桩顶相应于荷载效应基本组合时的竖向力设计值:
Nl = Max{N2, N3} = 1476000N
承台受角桩冲切的承载力按下列公式计算:
Nl ≤ β11 * (2c1 + a11) * tg(θ1 / 2) * βhp * ft * ho (基础规范 8.5.17-8)
θ1 = arctg(Sb / Sa) = arctg(1320/750) = 60.4°
c1 = ctgθ1 * 2Sc + Sc + 0.5bp = ctg60.4°*2*500+500+433/2 = 1285mm
a11 = Sa - 0.5bp - 0.5bc = 750-433/2-700/2 = 133mm
λ11 = a11 / ho = 133/(900-110) = 0.169
当 λ11 < 0.2 时,取 λ11 = 0.2,a11 = 0.2ho = 0.2*790 = 158mm
底部角桩冲切系数 β11 = 0.56 / (λ11 + 0.2) (基础规范 8.5.17-9)
β11 = 0.56/(0.2+0.2) = 1.4
β11 * (2c1 + a11) * tg(θ1 / 2) * βhp * ft * ho
= 1.4*(2*1285+158)*tg30.2°*0.992*1.43*790
= 2494443N ≥ Nl = 1476000N,满足要求。
3、承台斜截面受剪承载力计算:
(1)、X方向(上边)斜截面受剪承载力计算:
扣除承台及其上填土自重后 X 方向斜截面的最大剪力设计值:
Vx = N2 + N3 = 2952000N
柱上边缘计算宽度 bxo:
Sb / 3 - Sc = 1320/3-500 = -60mm ≤ 0.5bc = 350mm
bxo = a = 2500mm
承台斜截面受剪承载力按下列公式计算:
Vx ≤ βhs * βy * ft * bxo * ho (基础规范 8.5.18-1)
X 方向上自桩内边缘到最近柱边的水平距离:
ay = 440 - 0.5bc - 0.5bp = 440-700/2-433/2 = -127mm
λy = ay / ho = -127/(900-110) = -0.16
当 λy < 0.3 时,取 λy = 0.3
βy = 1.75 / (λy + 1.0) = 1.75/(0.3+1.0) = 1.346
βhs * βy * ft * bxo * ho = 1*1.346*1.43*2500*790 = 3809561N
≥ Vx = 2952000N,满足要求。
(2)、X方向(下边)斜截面受剪承载力计算:
扣除承台及其上填土自重后 X 方向斜截面的最大剪力设计值:
Vx = N1 = 1476000N
柱下边缘计算宽度 bxo:
bxo = 2 * [Sc + (2Sb / 3 - 0.5bc + Sc) * Sa / Sb] = 2170mm
承台斜截面受剪承载力按下列公式计算:
Vx ≤ βhs * βy * ft * bxo * ho (基础规范 8.5.18-1) 六层现浇钢筋混凝土框架结构员工培训中心建筑与结构设计(76):http://www.youerw.com/gongcheng/lunwen_210.html