Fan Foundation Design

Reference bookHandbook of machine fdn. By P. srinivasulu & C.V Vaidyanathan

Machine DataOperating speed fm = 990 rpmFan rotational frequency fm = 16.5 rps or Hz

Soil DataNature of soil = weak soilSBC of soil q = 100 kN/m2Coefficient of elastic uniform compression Cz = 20000 kN/m3Coefficient of elastic uniform shear = 10000 kN/m3Coefficient of elastic non uniform compression = 40000 kN/m3Coefficient of elastic non uniform shear = 15000 kN/m3Density of soil γsoil = 18 kN/m3

MaterialsConcreteGrade of concrete M = 25Density of concrete γc = 25 kN/m3SteelGrade of steel Fe = 500Density of steel γsteel = 78.5 kN/m3Yield strength of steel fy = 500 kN/m2

Geometrical Properties of Machine foundationPlanMaximum Length in 'X' Direction Lx = 4.46 mMaximum Length in 'Y' Direction Ly = 6.225 m

Center of gravity & Moment of inertia of Foundation base area

Dimensions of Element Co ordinates of CG of element Static moment of area

lxi lyi lzi Ai xi yi zi Aixi Aiyi

m m m m2 m m m m3 m35 2.196 2.15 1.5 4.7214 1.098 3.1 0.75 5.1840972 14.636346 4.46 6.225 1.5 27.7635 4.426 3.1125 0.75 122.88125 86.41389

0 00 00 00 0

∑ 32.4849 128.0653 101.05

Center of gravity & mass moment of inertia of Machine foundation

Cτ=0.5CzCθ=2CzCψ=0.75Cz

Foundation Base part

Area of Element

Dimensions of ElementWeight Mass

Co ordinates of CG of element

lxi lyi lzi wi mi=wi/g xi yi zi

m m m kN kN-sec2/m m m m

5 2.196 2.15 1.5 177.0525 18.048165 1.098 3.1 0.756 4.46 6.225 1.5 1041.13125 106.12959 4.426 3.1125 0.75

Pedestal

1 2.196 1.85 2.469 250.763985 25.562078 1.098 2.95 2.742 0.74 5.925 2.3 252.10875 25.699159 2.566 2.9625 2.653 2.43 0.675 2.3 94.314375 9.6141055 4.151 5.5875 2.654 0.99 5.925 2.3 337.280625 34.381307 5.861 2.9625 2.655 1.1 1.8 2.3 113.85 11.605505 4.816 0.9 2.65

0 00 00 00 00 0

Machine part

1 0 0 0 69.84 7.1192661 1.098 2.95 3.9692 0 0 0 64.4 6.5647299 2.566 2.9625 3.83 0 0 0 16.28 1.6595311 4.151 5.5875 3.84 0 0 0 64.4 6.5647299 5.861 2.9625 3.85 0 0 0 16.28 1.6595311 4.816 0.9 3.8

0 0 00 0 00 0 00 0 00 0 0

∑ 2497.7015 254.60769

Eccentricity of common CG w.r.t the centroid of base area

Eccentricity in 'X' direction = (3.943-3.767)*100/4.46 = 3.9461883 %

Eccentricity in 'Y' direction = (3.111-3.042)*100/6.225 = 1.1084337 %

Iy=

92.611131

Ix=

91.473771

Part of foundation

Element No.


The MI (Iy) of the base area about the axis passing through its CG and perpendicular to the plane of vibration

mm4

The MI(Ix) of the base area about the axis passing through its CG and perpendicular to the plane of vibration

mm4

The mass moment of inertia(MMI) of the whole sysytem about the Y-axis passing through the common CG and perpendicular to the plane of vibration

=

= (1/12)*∑mi*(Iyi2+Izi2)+∑mi*(Yoi2+Zoi2)

Фz = (1/12)*∑mi*(Ixi2+Iyi2)+∑mi*(Xoi2+Yoi2)

The mass moment of inertia(MMI) about the axis passing through the centroid of the base area and perpendicular to the plane of vibration

= Фy+mZ'2

= ФX+mZ'2

αy = Фy/Фoy

αx = Фx/Фox

Limiting frequenciesSliding & Rocking motion in X-Z plane Sliding & Rocking motion in Y-Z plane(Sliding in X-Directin & rocking about Y-axis) (Sliding in Y-Directin & rocking about X-axis)Along Y - Direction Along Y - Direction

= == 1755.12 sec-2 = 1897.026

= 1275.88 sec-2 = 1275.881

Coupled Natural Frequencies Coupled Natural Frequencies= 4249 sec-2 = 4857.969

wn1 = 65.1844 sec-2 wn1 = 69.69913f1 = 10.3744 Hz f1 = 11.09296Diff. = 37.1247 % Diff. = 32.76993

= 894.305 = 904.9232wn2 = 29.9049 sec-2 wn2 = 30.08194f2 = 4.75952 f2 = 4.78769Diff. = 71.1544 % Diff. = 70.9837

μ(frequency ratio) = ωm/ωn= 1.59045= 3.46674

The mass moment of inertia(MMI) of the whole sysytem about the Y-axis

Фy (1/12)*∑mi*(Ixi2+Izi2)+∑mi*(Xoi2+Zoi2)

The mass moment of inertia(MMI) of the whole sysytem about the X-axis

Фx

The mass moment of inertia(MMI) of the whole sysytem about the Z-axis

Фoy

Фox

ωθy2 (CθIy'-Wz')/Фoy ωθx2 (CθIx'-Wz')/Фox

ωx2 ωy2

wn12 wn12

wn22 wn22

Amplitudes2. Moment caused by Horizontal forces at C.G. in Z direction H (assumed as 3% of Vertical Load)

H = 6.94 kNMy = 4.70 kN.m.

Coefficient,f(wn2)

= 782436733445.322

Horizontal amplitude

Horizontal amplitude = 0.0000432 m

= 0.0000068 m

Net Amplitude at base level = 0.0305666 mm.

Net Horizontal Amplitude at top of Fndn.= 0.05657 mm.< 0.20 mm. OK

∑mi*(Ixi2+Izi2) ∑mi*(Xoi2+Zoi2) ∑mi*(Iyi2+Izi2) ∑mi*(Yoi2+Zoi2) ∑mi*(Ixi2+Iyi2)127.644 150.168 124.036 21.661 170.463

2349.879 173.110 4351.379 127.547 6223.6750.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000

Rotational Amplitude (aqy)

Rotational Amplitude (aqy)

Net Amplitude at base level = (ax -Z.aqy)

Net Horizontal Amplitude at top of Foundation = ax + (H - Z).aqy

0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000

279.096 202.615 243.312 20.738 210.757150.021 53.764 1038.134 16.858 916.258107.629 7.663 55.239 68.541 61.151215.574 173.092 1388.854 22.553 1240.67475.436 20.310 98.995 60.787 51.6440.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 82.862 0.000 32.208 0.0000.000 34.585 0.000 25.158 0.0000.000 6.594 0.000 17.102 0.0000.000 53.902 0.000 25.158 0.0000.000 8.175 0.000 13.963 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000

3305.280 966.840 7299.949 452.274 0.000

(From Table 3.3 of Reference book)

Static moment of area C.G of foundation base area

Aizi Ixi Iyi X'-xi Y'-yi Z'-zi

m3 m m m m4 m4 m4 m m m3.54105

3.943 3.111 0.75

1.81872 1.89738 3.716102 2.845 0.011 020.8226 89.6544 46.0217 135.6761 -0.483 -0.0015 0

0 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.75

24.364

Moment of inertia of elements about local axes

Difference btw global CG's to Local cg's

Xb'=∑Aixi/∑Ai

Yb'=∑Aiyi/∑Ai

Zb'=∑Aizi/∑Ai

Izi

(Ixi+Izi)

Static moment of area C.G of Machine foundationMI about Local axes

mixi miyi mizi Xoi=X'-xi

kN-sec2 kN-sec2 kN-sec2 m m m m

19.8169 55.9493119 13.536124

3.767 3.042 1.844

10.33633 10.637 14.20528 2.669469.73 330.32834 79.59719 362.615 195.823 518.6396 -0.659

0 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.767

28.0672 75.40813 70.040094 20.27597 23.258 17.5631 2.66965.944 76.1337586 68.102771 86.51113 12.5018 76.35482 1.201

39.9082 53.7188145 25.47738 4.603254 8.96908 5.095897 -0.384201.509 101.854623 91.110464 115.7379 17.9645 103.3895 -2.09455.8921 10.4449541 30.754587 8.24958 6.28631 4.303708 -1.049

0 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.7670 0 0 0 0 0 3.767

7.81695 21.0018349 28.256367 0 0 0 2.66916.8451 19.4480122 24.945973 0 0 0 1.2016.88871 9.27262997 6.3062181 0 0 0 -0.38438.4759 19.4480122 24.945973 0 0 0 -2.094

7.9923 1.49357798 6.3062181 0 0 0 -1.049

958.89 774.502 469.3794 608.329 275.44 739.552 2.696

OKOK


X'=∑mixi/∑mi

Y'=∑miyi/∑mi

Z'=∑mizi/∑mi

Фx=mi/12*(Iyi2+I

zi2)

Фy=mi/12*(Ixi2+

Izi2)

Фz=mi/12*(Ixi2+

Iyi2)

kN-m-sec2

kN-m-sec3

kN-m-sec4


= 1242.2796

(1/12)*∑mi*(Iyi2+Izi2)+∑mi*(Yoi2+Zoi2) = 1060.6035

(1/12)*∑mi*(Ixi2+Iyi2)+∑mi*(Xoi2+Yoi2) = 1898.4411


= 2108.03128946813

= 1926.35523555529

= 0.589307941258581

= 0.550575255184732

Check for vertical frequency(Sliding in Y-Directin & rocking about X-axis)

Vertical circular frequency of foundation is given by

ωnz = sqrt(Kz/m)sec-2 Kz = Cz*Af

= 649698

sec-2 ωnz = 50.515 sec-1fv = 8.03971 HzDiff. = 51.2745 %

sec-2sec-2Hz%

sec-2

%

∑mi*(Ixi2+Izi2)+∑mi*(Xoi2+Zoi2) kN-m-sec2

kN-m-sec2

kN-m-sec2

kN-m-sec2

kN-m-sec2

(CθIx'-Wz')/Фox

∑mi*(Ixi2+Iyi2) ∑mi*(Xoi2+Yoi2)170.463 128.628

6223.675 46.6180.000 0.0000.000 0.0000.000 0.000

0.000 0.0000.000 0.000

210.757 182.309916.258 37.23161.151 63.713

1240.674 150.97451.644 66.0190.000 0.0000.000 0.0000.000 0.0000.000 0.0000.000 0.0000.000 50.7750.000 9.5100.000 10.9980.000 28.8270.000 9.4400.000 0.0000.000 0.0000.000 0.0000.000 0.0000.000 0.0000.000 1898.441

Ix Iy Iz

Ix+Iz

m4 m4 m41.819294 40.11251 41.931889.65448 52.49862 142.1531

0 0 00 0 00 0 00 0 0

91.47377 92.61113 184.0849

Ixi+Ai(Y'-yi)^2

Iyi+Ai(X'-xi)^2

Yoi=Y'-yi Zoi=Z'-zi PCC,m3

m m0.378973

-0.058 1.094 21.66141 150.1679 128.6279 7.0821 2.142788-0.071 1.094 127.5472 173.1098 46.61755 41.64525 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.3278760.092 -0.896 20.738 202.6147 182.3094 10.03056 0.366750.079 -0.806 16.85752 53.76359 37.23092 10.08435 0.140906

-2.545 -0.806 68.54094 7.663327 63.71293 3.772575 0.479250.079 -0.806 22.55263 173.0917 150.9737 13.49122 0.1652342.142 -0.806 60.78731 20.31006 66.01867 4.554 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004223.042 1.844 0 0 0 0 0.0004220.092 -2.125 32.20819 82.86246 50.77478 0 0.0004220.079 -1.956 25.15773 34.58521 9.510464 0 0.000422

-2.545 -1.956 17.10231 6.593968 10.99776 0 0.0004220.079 -1.956 25.15773 53.9015 28.82675 0 0.0004222.142 -1.956 13.96346 8.175409 9.44035 0 0.000422

0 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.000422

-0.434 -11.881 452.2744 966.8396 785.0412 90.66006 3.631663


mi*(Yoi2+Zoi2)

mi*(Xoi2+Zoi2)

mi*(Xoi2+Yoi2)

Valume of concrete,

m3

DeflectionLoad 600 kg/m

6 kN/mSpan 11 mFormula (5/384)*(wl3/EI)E 200000 N/mm2for ISMB 200 2235.4 cm4

22354000 mm4

Defl. 23.25856 mmAllowable l/300

36.66667 mm

Reference bookHandbook of machine fdn. By P. srinivasulu & C.V Vaidyanathan

Machine DataOperating speed fm = 990 rpmFan rotational frequency fm = 16.5 rps or Hz

Soil DataNature of soil = weak soilSBC of soil q = 100 kN/m2Coefficient of elastic uniform compression Cz = 20000 kN/m3Coefficient of elastic uniform shear = 10000 kN/m3Coefficient of elastic non uniform compression = 40000 kN/m3Coefficient of elastic non uniform shear = 15000 kN/m3Density of soil γsoil = 18 kN/m3

MaterialsConcreteGrade of concrete M = 25Density of concrete γc = 25 kN/m3SteelGrade of steel Fe = 500Density of steel γsteel = 78.5 kN/m3Yield strength of steel fy = 500 kN/m2

Geometrical Properties of Machine foundationPlanMaximum Length in 'X' Direction Lx = 4.46 mMaximum Length in 'Y' Direction Ly = 6.225 m

Center of gravity & Moment of inertia of Foundation base area

Dimensions of Element Co ordinates of CG of element Static moment of area

lxi lyi lzi Ai xi yi zi Aixi Aiyi

m m m m2 m m m m3 m35 2.196 2.15 1.5 4.7214 1.098 3.1 0.75 5.1840972 14.636346 4.46 6.225 1.5 27.7635 4.426 3.1125 0.75 122.88125 86.41389

0 00 00 00 0

∑ 32.4849 128.0653 101.05

Center of gravity & mass moment of inertia of Machine foundation

Cτ=0.5CzCθ=2CzCψ=0.75Cz


Area of Element

Dimensions of ElementWeight Mass

Co ordinates of CG of element

lxi lyi lzi wi mi=wi/g xi yi zi

m m m kN kN-sec2/m m m m

5 2.196 2.15 1.5 177.0525 18.048165 1.098 3.1 0.756 4.46 6.225 1.5 1041.13125 106.12959 4.426 3.1125 0.75

Pedestal

1 2.196 1.85 2.469 250.763985 25.562078 1.098 2.95 2.742 0.74 5.925 2.3 252.10875 25.699159 2.566 2.9625 2.653 2.43 0.675 2.3 94.314375 9.6141055 4.151 5.5875 2.654 0.99 5.925 2.3 337.280625 34.381307 5.861 2.9625 2.655 1.1 1.8 2.3 113.85 11.605505 4.816 0.9 2.65

0 00 00 00 00 0

Machine part

1 0 0 0 100.48 10.24261 1.098 2.95 3.9692 0 0 0 52.32 5.3333333 2.566 2.9625 3.83 0 0 0 32.56 3.3190622 4.151 5.5875 3.84 0 0 0 52.32 5.3333333 5.861 2.9625 3.85 0 0 0 16.28 1.6595311 4.816 0.9 3.8

0 0 00 0 00 0 00 0 00 0 0

∑ 2520.4615 256.92778

Eccentricity of common CG w.r.t the centroid of base areaEccentricity in 'X' direction = (3.943-3.732)*100/4.46 = 4.7309417 %Eccentricity in 'Y' direction = (3.111-3.059)*100/6.225 = 0.8353414 %

Iy=

92.611131

Ix=

91.473771

Part of foundation

Element No.


The MI (Iy) of the base area about the axis passing through its CG and perpendicular to the plane of vibration

The MI(Ix) of the base area about the axis passing through its CG and perpendicular to the plane of vibration


=

= (1/12)*∑mi*(Iyi2+Izi2)+∑mi*(Yoi2+Zoi2)

Фz = (1/12)*∑mi*(Ixi2+Iyi2)+∑mi*(Xoi2+Yoi2)


= Фy+mZ'2

= ФX+mZ'2

αy = Фy/Фoy

αx = Фx/Фox

Limiting frequenciesSliding & Rocking motion in X-Z plane Sliding & Rocking motion in Y-Z plane(Sliding in X-Directin & rocking about Y-axis) (Sliding in Y-Directin & rocking about X-axis)Along Y - Direction Along Y - Direction

= == 2760 sec-2 = #REF!

= 1264.36 sec-2 = 1264.359

Coupled Natural Frequencies Coupled Natural Frequencies= 11107 sec-2 = #REF!

wn1 = 105.389 sec-2 wn1 = #REF!f1 = 16.7732 Hz f1 = #REF!Diff. = -1.6558 % Diff. = #REF!

= 940.561 = #REF!wn2 = 30.6686 sec-2 wn2 = #REF!f2 = 4.88105 f2 = #REF!Diff. = 70.4179 % Diff. = #REF!

μ(frequency ratio) = ωm/ωn= 0.98371= 3.38042

The mass moment of inertia(MMI) of the whole sysytem about the Y-axis

Фy (1/12)*∑mi*(Ixi2+Izi2)+∑mi*(Xoi2+Zoi2)

The mass moment of inertia(MMI) of the whole sysytem about the X-axis

Фx

The mass moment of inertia(MMI) of the whole sysytem about the Z-axis

Фoy

Фox

ωθy2 (CθIy'-Wz')/Фoy ωθx2 (CθIx'-Wz')/Фox

ωx2 ωy2

wn12 wn12

wn22 wn22

Amplitudesf(wn2) =

= 8.33E+11

=

40713151

11. Amplitude

###

#REF!

#REF!

Net Amplitude at base lev #REF! mm.

Net Horizontal Amplitude at top of #REF! mm.< 0.20 mm. OK

107.63 7.62742 55.2390449 67.405534 61.15076215.57 177.079 1388.8544 21.560801 1240.67475.436 20.807 98.9949541 61.266352 51.6445

0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

Coefficient f(ωm2 ) = m.ψy.(ωn1

2 - ωm2).(ωn12 - ωm2)

f(ωm2 )=

Hor. Amplitude (ax) = [ (Cq.Iy - W.Z + Cζ.Af.Z2 - ψy.ωm2).Px + (Cζ.Af.Z).My] / f(ωm

2 )

Horizontal Amplitude (ax) =

Rotational Amplitude (aqy) = {Cζ.Af.Z / f(ωm2 )}.Px + [{(Cζ.Af)-(m.ωm

2)} / f(ωm2)].My

Rotational Amplitude (aqy) =

Net Amplitude at base level = (ax -Z.aqy)

Net Horizontal Amplitude at top of Foundation = ax + (H - Z).aqy

0 116.448 0 45.506952 00 27.2408 0 20.039511 00 13.0229 0 33.659965 00 44.1639 0 20.039511 00 8.17012 0 13.955623 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

398.64 414.559 #REF! 283.43425 0

(From Table 3.3 of Reference book)

Static moment of area C.G of foundation base area

Aizi Ixi Iyi X'-xi Y'-yi Z'-zi

m3 m m m m4 m4 m4 m m m3.54105

3.943 3.111 0.75

1.81872 1.89738 3.716102 2.845 0.011 020.8226 89.6544 46.0217 135.6761 -0.483 -0.0015 0

0 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.750 0 0 0 3.943 3.111 0.75

24.364

Moment of inertia of elements about local axes


Xb'=∑Aixi/∑Ai

Yb'=∑Aiyi/∑Ai

Zb'=∑Aizi/∑Ai

Izi

(Ixi+Izi)

Static moment of area C.G of Machine foundationMI about Local axes

mixi miyi mizi Xoi=X'-xi

kN-sec2 kN-sec2 kN-sec2 m m m m

19.8169 55.9493119 13.536124

3.732 3.059 1.864

10.33633 10.637 14.20528 2.634469.73 330.32834 79.59719 362.615 195.823 518.6396 -0.694

0 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.732

28.0672 75.40813 70.040094 20.27597 23.258 17.5631 2.63465.944 76.1337586 68.102771 86.51113 12.5018 76.35482 1.166

39.9082 53.7188145 25.47738 4.603254 8.96908 5.095897 -0.419201.509 101.854623 91.110464 115.7379 17.9645 103.3895 -2.12955.8921 10.4449541 30.754587 8.24958 6.28631 4.303708 -1.084

0 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.7320 0 0 0 0 0 3.732

11.2464 30.2156983 40.652917 0 0 0 2.63413.6853 15.8 20.266667 0 0 0 1.16613.7774 18.5452599 12.612436 0 0 0 -0.41931.2587 15.8 20.266667 0 0 0 -2.129

7.9923 1.49357798 6.3062181 0 0 0 -1.084

958.83 785.69247 478.7235 608.329 275.44 739.552 2.276


X'=∑mixi/∑mi

Y'=∑miyi/∑mi

Z'=∑mizi/∑mi

Фx=mi/12*(Iyi2+I

zi2)

Фy=mi/12*(Ixi2+

Izi2)

Фz=mi/12*(Ixi2+

Iyi2)

kN-m-sec2

kN-m-sec3

kN-m-sec4


= 447.7788 kN-m-sec2

(1/12)*∑mi*(Iyi2+Izi2)+∑mi*(Yoi2+Zoi2) = #REF! kN-m-sec2

(1/12)*∑mi*(Ixi2+Iyi2)+∑mi*(Xoi2+Yoi2) = 1344.4636 kN-m-sec2


= 1340.47333246091 kN-m-sec2

= #REF! kN-m-sec2

= 0.334045288893412

= #REF!

Check for vertical frequency(Sliding in Y-Directin & rocking about X-axis)

Vertical circular frequency of foundation is given by

ωnz = sqrt(Kz/m)sec-2 Kz = Cz*Af

= 649698

sec-2 ωnz = 50.2864 sec-1fv = 8.00332 HzDiff. = 51.495 %

sec-2sec-2Hz%

sec-2

%

∑mi*(Ixi2+Izi2)+∑mi*(Xoi2+Zoi2)

(CθIx'-Wz')/Фox

63.1538405156.15829167.7336358

00000

+ (Cζ.Af.Z).My] / f(ωm2 )

)-(m.ωm2)} / f(ωm

2)].My

71.1844677.3006306721.802498824.22375079.68558271

00000

1344.46355

Ix Iy Iz

Ix+Iz

m4 m4 m41.819294 40.11251 41.931889.65448 52.49862 142.1531

0 0 00 0 00 0 00 0 0

91.47377 92.61113 184.0849

Ixi+Ai(Y'-yi)^2

Iyi+Ai(X'-xi)^2

Yoi=Y'-yi Zoi=Z'-zi PCC,m3

m m0.378973

-0.041 1.114 22.42804 147.6151 125.2477 7.0821 2.142788-0.054 1.114 132.0102 182.8222 51.4196 41.64525 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.3278760.109 -0.876 19.91943 196.9643 177.6523 10.03056 0.366750.096 -0.786 16.11615 50.81628 35.17876 10.08435 0.140906

-2.528 -0.786 67.40553 7.627418 63.15384 3.772575 0.479250.096 -0.786 21.5608 177.0788 156.1583 13.49122 0.1652342.159 -0.786 61.26635 20.80695 67.73364 4.554 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004223.059 1.864 0 0 0 0 0.0004220.109 -2.105 45.50695 116.448 71.18447 0 0.0004220.096 -1.936 20.03951 27.24081 7.300631 0 0.000422

-2.528 -1.936 33.65996 13.02286 21.8025 0 0.0004220.096 -1.936 20.03951 44.16393 24.22375 0 0.0004222.159 -1.936 13.95562 8.170124 9.685583 0 0.000422

0 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.0004220 0 0 0 0.000422

-0.230 -11.641 473.908 992.7768 810.741 90.66006 3.631663


mi*(Yoi2+Zoi2)

mi*(Xoi2+Zoi2)

mi*(Xoi2+Yoi2)

Valume of concrete,

m3

Fan Foundation Design

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