1. 确定桩长:
根据地质材料,以第四层粉质粘土为桩尖持力层。桩长l=20m
桩截面的边长(截面为正方形)
c=2000/50=400mm
2. 单桩竖向承载力极限标准值和特征值:
QukQQqskpksiklqAipkp40.4243141523216000.40.4809.6KN
Ra1KQuk809.6404.8KN2
3. 桩数,承台尺寸及桩的平面布置图:
Vn>Rka8.0 暂取9根
桩距:按规范表3.3.3—1 可得 桩距 S=4.5c=1800mm d取400mm
承台的边长 a=b=2S+2d=21.820.44.4m
取承台的高度h为1m,桩顶伸入承台50mm,钢筋的保护层取70mm
h=1000-70=930mm
0
4. 群桩中基桩的受力验算:
竖向承载力特征值:
A=
cAnApsn4.44.490.40.421.99m9 =
Sad=4.5
Blc0.22 根据 表5.2.5得
c0.2
RRafA=404.80.2751.99434.65KN
akc取平台及其上土的平均重度:
GVkkG=20KN/m
33200204.44.41.0209.84.44.40.5Nkn9409.55KNR434.65KN
NkmaxkminM=NkHhxmaxx2i(400501)1.8451.21KN1.2R367.87kN0 61.81.8=409.55单桩的水平力:
假设桩的混凝土强度等级为C30
Hn=50/9=5.56KN
HkscEc30000MPa
E
s
=200000MPa
bo=1.50.40.51.1m
4eEE=6.67 取
g=0.65%
x0a10mm EI=0.85EcIo 查表5.7.5可得 m=4.5MN/m
W0b6b2-1b=06.4b26.6710.65%1.10.0166
2222eg000
I0Wb20.009145mb0EI=0.463
= h=9.26m>4.0
查表5.7.2 可得x2.441
EI0.75*Rxhax30a=
0.750.46330.85300000.009142.4410.0171.08KNHk
软弱下卧层强度验算:
Es15.2
Es22.4
EEs1s22.25z0.5b
查表可得 =18.875度
Gk=204.44.41209.84.44.40.5485.94KN
FG1.5ABql3200485.941.544243141523216.18KN02ttan2ttan422tan18.875422tan18.875AB=
kk00sikiz00m19.59.8416.59.81518.39.837.4922
由于软弱层是淤泥质粉质粘土,所以查表可得
d1.6
fazfakdd0.5751.67.49220.5332.66KN
m
Zm7.49221.78KN
zZ1.7801.78KNmfaz332.66KN
符合承载力的要求。
5. 承台结构计算:
F=1.35Vk1.3532004320KN M=1.35Mk1.354000KNm
H=1.35H1.355067.5KN
N=F/n=4320/9=480KN
NmaxminNMHhxmaxx2i(067.51)1.8536.25KN61.81.8=480=423.75KN
a) 承台受冲切承载力验算:
FlF-Ni4320-480=3840KN
0xah0x01.41.511.0=0.93 取1.0
ox0.840.840.70x0.21.2
a0y0yh0=1.51>1.0 取1.0
0.84oy0y0.2=0.7
hp110.920008002000.9833
20Xbca0y0yhca0xhpfth020.70.41.40.70.41.40.983311000.935069.81KNF1b) 角桩向上冲切:
c1c20.6m a
1x
=a0x 1x0x a1y=a0y 1y0y0.561y1y0.2=0.467
1x1y0.467
a1y1xc221yc1a1x2hpfth00.4670.60.720.4670.60.720.983311000.932.KNNmax3.28KN
c) 承台受剪承载力计算:
对于I—I
=
800Vfbh=930
hst00hs
0.25=0.963
x0x=1.51
1.751=0.697
fbhhst00=0.9630.69711004.40.933021.25KN3Nmax1629.84KN
对于—
y0y=1.51
1.751=0.697
fbhhst00=3021.25KN>3N=1440KN
d) 承台受弯承载力计算:
NiyiMx34801.62304KNm
MA0.9fhxsy0=0.930093023041069175.6mm2
选用直径为22mm,根数为25根。As=9503mm,沿平行y轴方向均匀布置。
2MyNixi33.281.62607.74KNm
AsM0.9fhyy0=0.93009302607.7410610385.26mm2
选用直径为22mm,根数为28根。A=104mm,沿平行x轴方向均匀布置
2s
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