Friday, March 8, 2013

Retaining wall propping for a closed foundation excavation


The object of the project is designing a retaining wall propping for a foundation excavation with simple wood elements. The water level is located at ~1.5m below the surface so in order to execute a dry excavation a proper drainage will need to be designed and executed.


Input data

SI(EU)
Description
Lexcavation=
7
m
 -length of the excavation



lexcavation=
4
m
 -width of the excavation

Hexcavation=
4.5
m
 -height of the excavation

yearth=
18
kN/m3
 -unit weight of the soil

Ø=
20
deg
 -internal angle of friction of soil
c=
0
kPa
 -cohesion of the soil

qs=
26
kN/m2
 -overcharge



Geotechnical calculation







Ka=tg2(45-Ø/2)=
0.49

 -active earth pressure coeficient



soil case type
a
 a-soil with no cohesion;b-soil with low cohesion;c-soil with high cohesion







p'a=f(a,b,c)
83
kN/m
 -simplified calculation of total earth pressure


Dimensioning and verification of the vertical shores(bvsxdvsxHexcavation)



bvs=
20
cm
 -width of a vertical shore




dvs=
15
cm
 -thicknes of a vertical shore




q=p'bvs=
16.64
kN/m
 -uniform loading on a vertical shore



hy=
1.5
m
 -the distance between 2 horizontal shores


Mmax= ql2/8=
5
kNm
 -the maximum moment loading the vertical shores

W=bvsdvs2/6=
750
cm3
 -the inertia moment




σadm=Mmax/W=
62
daN/cm2
OK <120 =max allowable structural strength for pine wood


Dimensioning and verification of the packing laths(bhsxdhsxHexcavation)






bpl=
20
cm
 -width of a packing lath




dpl=
15
cm
 -thicknes of a packing lath




q=p'bpl=
12.48
kN/m
 -uniform loading on a packing lath



ly=
2
m
 -the distance between 2 packing lath



Mmax= ql2/8=
6
kNm
 -the maximum moment loading the packing lath


W=bpldpl2/6=
750
cm3
 -the inertia moment




σadm=Mmax/W=
83
daN/cm2
OK <120 =max allowable structural strength for pine wood



Dimensioning and verification of the horizontal shore(bhsxdhsxHexcavation)
dhs=
30
cm
 -diameter of a horizontal shore

A=πd2/4=
706.86
cm2
 -area of a horizontal shore




N=p'hyly=
249.53
kN/m
 -uniform loading on a vertical shore



lf=Lexc-dvs-dpl=
6.7
m
 -length of the horizontal shore



i=0.25dhs=
0.08
m







λ=lf/i=
89.33








Φ=3100/λ2=
0.39








σ'=N/(A1Φ1)=
90.88
daN/cm2
OK <120 =max allowable structural strength for pine wood





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