扣除承台及其上填土自重,作用在冲切破坏锥体上的冲切力设计值:
Fl = 4428000N
三桩三角形柱下独立承台受柱冲切的承载力按下列公式计算:
Fl ≤ [βox * (2bc + aoy1 + aoy2) + (βoy1 + βoy2) * (hc + aox)] * βhp * ft * ho
(参照承台规程 4.2.1-2)
X 方向上自柱边到最近桩边的水平距离:
aox = 750 - 0.5hc - 0.5bp = 750-800/2-433/2 = 133mm
λox = aox / ho = 133/(900-110) = 0.169
当 λox < 0.2 时,取 λox = 0.2,aox = 0.2ho = 0.2*790 = 158mm
X 方向上冲切系数 βox = 0.84 / (λox + 0.2) (基础规范 8.5.17-3)
βox = 0.84/(0.2+0.2) = 2.1
Y 方向(下边)自柱边到最近桩边的水平距离:
aoy1 = 2 * 1320 / 3 - 0.5bc - 0.5bp = 880-700/2-433/2 = 313mm
λoy1 = aoy1 / ho = 313/(900-110) = 0.397
Y 方向(下边)冲切系数 βoy1 = 0.84 / (λoy1 + 0.2) (基础规范 8.5.17-4)
βoy1 = 0.84/(0.397+0.2) = 1.407
Y 方向(上边)自柱边到最近桩边的水平距离:
aoy2 = 1320 / 3 - 0.5bc - 0.5bp = 440-700/2-433/2 = -127mm
λoy2 = aoy2 / ho = -127/(900-110) = -0.16
当 λoy2 < 0.2 时,取 λoy2 = 0.2,aoy2 = 0.2ho = 0.2*790 = 158mm
Y 方向(上边)冲切系数 βoy2 = 0.84 / (λoy2 + 0.2) (基础规范 8.5.17-4)
βoy2= 0.84/(0.2+0.2) = 2.1
[βox * (2bc + aoy1 + aoy2) + (βoy1 + βoy2) * (hc + aox)] * βhp * ft * ho
= [2.1*(2*700+313+158)+(1.407+2.1)*(800+158)]*0.992*1.43*790
= 8183692N ≥ Fl = 4428000N,满足要求。
(2)、底部角桩对承台的冲切验算:
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 = N1 = 1476000N
承台受角桩冲切的承载力按下列公式计算:
Nl ≤ β12 * (2c2 + a12) * tg(θ2 / 2) * βhp * ft * ho (基础规范 8.5.17-10)
θ2 = 2 * arctg(Sa / Sb) = 2*arctg(750/1320) = 59.2°
c2 = [Sc * ctg(θ2 / 2) + Sc + 0.5bp] * Cos(θ2 / 2)
= [500*ctg29.6°+500+433/2]*Cos29.6°= 1388mm
a12 = (2Sb / 3 - 0.5bp - 0.5bc) * Cos(θ2 / 2)
= (2*1320/3-433/2-700/2)*Cos29.6°= 273mm
λ12 = a12 / ho = 273/(900-110) = 0.345
底部角桩冲切系数 β12 = 0.56 / (λ12 + 0.2) (基础规范 8.5.17-11) 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(75):http://www.youerw.com/gongcheng/lunwen_210.html