42353955 Footing Biaxial

NUCLEAR POWER CORPORATION OF INDIA LTD.

document.xls

DESIGN OF BI-AXIAL ISOLATED RCC FOOTING (IS 456, 2000)Building NameFooting Number:Node number

COLUMN/PEDESTAL Length (l, dim. || Z axis ) = 700 mmBreadth (b, dim. || X axis) = 600 mmHeight of pedestal = 1 m Breadth 6.5 mWeight of pedestal/column = 10.50 KN

FOOTINGFoot length (L, dim. || Z axis) = 6.75 mFoot Breadth (B, dim. || X axis) = 6.5 mThickness of footing (t) = 750 mmClear cover to Reinforcement = 75 mmMain bar dia of footing = 16 mmEffective depth of footing = 667 mm Length 6.75 mSelfweight of the footing = 822.66 KN

Area of Footing(A) = 43.88

Sect mod of foot about Z axis (Zz) = 47.53

Sec mod of foot about X axis (Zx) = 49.36

MATERIALS OF CONSTRUCTION

20

415

CHECK FOR GROSS BEARING PRESSURE

1650

Safe gross bearing pr. = 1702.25 (net pr. + depth of foot * soil unit wt)215

Axial load from output (P1) = 721.07 KN

200 KN-m

2000 KN-mDepth of top of foot. from ground = 2 m

Unit wt of soil = 19Weight of soil retained above foot = 1651.29 KNP = (P1+soil+pedestal+foot selfwt) = 3205.52 KN

Maximum bearing pressure = 117.79

Minimum bearing pressure = 28.33

Hence footing is safe against max gross bearing pr.

DESIGN FORCESFactored load comb. no. 18

100 KN

100 KN-m

5 KN-m

( Pu/Area+ Muz/Zz + Mux/Zx) = 4.48

( Pu/Area - Muz/Zz - Mux/Zx) = 0.07Design of footing is done using above maximum effective soil pressure

m2

m3

m3

Grade of concrete fck = N/mm2

Grade of steel fy = N/mm2

Safe NET bearing pressure = KN/m2

KN/m2

Unfactored load case number =

Moment about Z axis (Mz) =

Moment about X axis (Mx) =

KN/m3

KN/m2

KN/m2

Axial load:(Pu) =

Moment about Z axis (Muz) =

Moment about X axis (Mux) =

Maximum effective soil pressure pe max

KN/m2

Minimum effective soil pressure pe min

KN/m2

PA

±M y

Z y±M x

Zx

globalZ

globalX

globalX

globalZ

Footing Dimensions

self wt of footing & soil wt is not considered in Pu.

Z and X axis are assumed as two horizontal Global axis of building.

Hence, input the dimensions of footing easily by inputing footing length parallel to global Z and footing breadth parallel to global X.

Input pedestal height = 0 if wt. of pedestal/column is not to be considered.

H10


H15

Z and X axis are assumed as two horizontal Global axis of building. Hence, input the dimensions of footing easily by inputing footing length parallel to global Z and footing breadth parallel to global X.

H45



document.xls

CALCULATION FOR BOTTOM STEEL

20.52 KN-m per meterMulimit = 1228.80 KN-m per meter

The section is singly reinforced

Hence, Ast = 85.468

Min Ast = 800.400 (0.12 % for slab, cl 26.5.2.1)Spacing = 251.20 mm (considering max of above two calculated values of Ast)pt provided = 0.12 %Hence provide 16 mm dia bar @ 251 mm c/c parellel to length of footing ( || to Z)

19.51 KN-m per meter

Calc. Ast = 81.272 The section is singly reinforced

Min Ast = 800.4 (0.12 % for slab, cl 26.5.2.1)Spacing = 251.20 mm (considering max of above two calculated values of Ast)pt provided = 0.12 %Hence provide 16 mm dia bar @ 251 mm c/c parellel to breadth of footing ( || to X)Arrangement of bottom reinforcement as per above design is shown below

16 mm dia bar @ 251 mm c/c


1 1

Footing Length 6750 mm Breadth 6500 mm

Sec 1-1

1367 6001267

L1

a a

Z ZN1 N1

a a

L2 L2

2358L1 Breadth 6500 mm

700

Mu about X1 X1 = ( pe max x length2/2)=

mm2

mm2

Mu about N1 N1 = ( pe max x length2/2)=

mm2

mm2

X1 X

X1 X

Ast=0 .5 f ckf y [1−√1− 4 .6M u

f ck bd2 ]bd

All drawings on this sheet are updated automatically as per design changes and need not be edited.

If this moment is very high try to reduce moment by changing footing size.Higher moment will require higher steel and section may be doubly reinforced. This design is done as singly reinforced section.

H55

If this moment is very high try to reduce moment by changing footing size. Higher moment will require higher steel and section may be doubly reinforced. This design is done as singly reinforced section.

H74



document.xls

Footing Length 6750 mm 2283PLAN


document.xls

CHECK FOR ONE WAY SHEAR :One way shear at critical section L1- L1Distance of critical sec. from edge of footing = 2.358 mShear force Vs =pe max x 2.358 x 1m width of footing = 10.574 KN

Shear stress 0.016

0.26

tv < tc hence O.K.

One way shear at critical section L2- L2Distance of critical sec. from edge of footing = 2.283 mShear force Vs =pe max x 2.283 x 1m width of footing = 10.238 KN

Shear stress 0.015

0.26

tv < tc hence O.K.

CHECK FOR TWO WAY SHEARRef. cl 34.2.4 and cl.31.6.3 of IS 456 : 2000

1.53846 >1

1

1.11803

1.11803Shear force Vs = 4.484 ( 6.75 x 6.5 - 1.367 x 1.267) = 188.99 KNLength of critical section = 2 x ( 1367 + 1267) = 5268 mm

Area of the critical section (length of critical sec x eff. d ) = 3513756

0.054tv < allowable hence O.K.

tv = Vs/bd = N/mm2

tc = N/mm2

tv = Vs/bd = N/mm2

tc = N/mm2

Allowable shear stress tv allowable = kstc

ks = ( 0.5 + bc) =

Hence, ks=

tc = 0.25 (fck)0.5 = N/mm2

tv allowable = ks x tc = N/mm2

mm2

Hence shear stress tv = N/mm2

Instead of calculating accurate pressure ordinate at L1-L1 we have used "pemax" on conservative side.

H114



document.xls

DESIGN OF BI-AXIAL ISOLATED RCC FOOTING (IS 456, 2000)Project nameBuilding name

Breadth 6.5 m

Length 6.75 m

Column/Pedestal Footing size Footing Properties Materials of Const CHECK FOR GROSS BEARING PRESSURE FACTORED DESIGN FORCES EFFECTIVE SOIL PRESSURE CALCULATION FOR BOTTOM STEEL CHECK FOR ONE WAY SHEAR CHECK FOR TWO WAY SHEAR (Ref. cl 34.2.4 and cl.31.6.3 of IS 456 : 2000)

Mulimit Ast Ast

mm mm m KN m m mm mm mm mm KN KN KN-m KN-m m KN KN KN KN-m KN-m mm % mm mm % m KN m KN KN mm500 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1655.85 3199.58 117.65 28.20 SAFE 18 100 100 5 4.48 0.07 21.90 1228.80 Singly reinf 91.23 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.458 11.023 0.017 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 190.12 4868 3246956 0.05855 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.700 600 0 0 6.75 6.5 750 75 16 667 822.66 43.88 47.53 49.36 20 415 1650 1702.25 215 721.07 200 2000 2 19 1651.29 3195.02 117.55 28.09 SAFE 18 100 100 5 4.48 0.07 20.52 1228.80 Singly reinf 85.47 800.40 251.20 0.12 16@251c/c 19.51 Singly reinf 81.27 800.4 251.20 0.12 16@251c/c 2.358 10.574 0.016 0.26 tv < tc O.K. 2.283 10.238 0.015 0.26 tv < tc O.K. 1.53846154 1 1.118 1.118033989 188.99 5268 3513756 0.05378 tv < allowable O.K.

Length (l, dim. || Z

axis )

Breadth (b, dim. || X axis)

Height of Pedestal

Weight of

pedestal

Foot length

(L, dim. || Z axis)

Foot Breadth

(B, dim. || X axis)

Thickness of footing

(t)

Clear cover

to Reinf

Main bar dia

of footing

Effective depth of footing

Self weight of footing

Area of Footing

(A)

Sect mod of foot

about Z axis (Zz)

Sec mod of foot

about X axis (Zx)

Grade of concrete

fck

Grade of steel fy

Safe NET bearing pressure

Safe gross bearing pr. (net pr. +

depth of foot * soil unit wt)

Unfactored load case number

Axial load from

output (P1)

Moment about Z axis (Mz)

Moment about X axis (Mx)

Depth of top

of foot. from

ground

Unit wt of soil

Weight of soil

retained above footing

P = (P1+ soil +

Pedestal + foot

self wt)

Maximum bearing pressure

Minimum bearing pressure

Check if footing is

safe against

max gross bearing pr

Factored load

comb. no.

Axial load: (Pu)

Moment about Z

axis (Muz)

Moment about X

axis (Mux)

Maximum effective soil

pressure pe max = ( Pu/Area+ Muz/Zz

+ Mux/Zx)

Minimum effective soil

pressure pe min = ( Pu/Area - Muz/Zz - Mux/Zx)

Mu about X1 X1 = ( pe max x length2/2)

Check type of section

singly / doubly

reinforced.

Min Ast = (0.12 % for slab,

cl 26.5.2.1)

Spacing (considering max of two calculated values of

Ast)

pt provided

Bar Dia /Spacing of

Reinf. Parallel to length of

foot. (|| to Z)

Mu about N1 N1 = ( pe max x

length2/2)

Check type of section

singly / doubly

reinforced.

Min Ast = (0.12 % for

slab, cl 26.5.2.1)

Spacing (considering max of two calculated values of

Ast)

pt provided

Bar Dia /Spacing of

Reinf. Parallel to breadth of footing (|| to

X)

Distance of critical sec. L1- L1 from edge of footing

Shear force Vs =pe max x dist of L1-L1 x

1m width of footing

Shear stress tv =

Vs/bd

tc Check for one way shear at Critical

section L1-L1

Distance of critical sec. L2- L2 from

edge of footing

Shear force Vs =pe max x dist of L2-

L2 x 1m width of footing

Shear stress tv = Vs/bd

tc Check for one way shear at Critical

section L2-L2

ks = ( 0.5 +

bc)

If ks >1

then Ks =1

else Ks=Ks

tc = 0.25

(fck)0.5 =

Allowable shear stres

tv allowable = ks x tc

Shear force Vs

Length of critical section

Area of the critical section

(length of critical sec x eff. d )

Hence shear

stress tv

Check for two way shear

m2 m3 m3 N/mm2 N/mm2 KN/m2 KN/m2 KN/m3 KN/m2 KN/m2 KN/m2 KN/m2KN-m per

meterKN-m per

meter mm2 mm2KN-m per

meter mm2 mm2 N/mm2 N/mm2 N/mm2 N/mm2 N/mm2 N/mm2 mm2 N/mm2

Ast=0.5 f ckf y [1−√1− 4.6Mu

f ck bd2 ]bd

PA

±M y

Z y±M x

Zx

globalZ

globalX

globalX

globalZ

Footing Dimensions



Hence, input the dimensions of footing easily by inputing footing length parallel to global Z and footing breadth parallel to global X. Design of footing is

done using above maximum effective soil pressure





E5


C18


AE18


AH18

Design of footing is done using above maximum effective soil pressure

AJ18


AZ18


BE18



document.xls



1 1



J91



document.xls

Sec 1-1

1167 6001267

L1

a a

Z ZN1 N1

a a

L2 L2


500 Footing Length 6750 mm 2283

PLAN

X1 X

X1 X


document.xls

DESIGN OF BI-AXIAL ISOLATED RCC FOOTING (IS 456, 2000)Building NameFooting Number:Node number

COLUMN Length (l, dim. || Z axis ) = 700 mmBreadth (b, dim. || X axis) = 600 mmHeight of pedestal = 1 m Breadth 3 mWeight of pedestal/column = 10.50 KN

FOOTINGFoot length (L, dim. || Z axis) = 5 mFoot Breadth (B, dim. || X axis) = 3 mThickness of footing (t) = 750 mmClear cover to Reinforcement = 75 mmMain bar dia of footing = 16 mmEffective depth of footing = 667 mm Length 5 mSelfweight of the footing = 281.25 KN

Area of Footing(A) = 15.00

Sect mod of foot about Z axis (Zz) = 7.50

Sec mod of foot about X axis (Zx) = 12.50

MATERIALS OF CONSTRUCTION

20

415

CHECK FOR GROSS BEARING PRESSURE

1650

Safe gross bearing pr. = 1702.25 (net pr. + depth of foot * soil unit wt)215

Axial load from output (P1) = 10 KN

500 KN-m

450 KN-mDepth of top of foot. from ground = 2 m

Unit wt of soil = 19Weight of soil retained above foot = 554.04 KNP = (P1+soil+pedestal+foot selfwt) = 855.79 KN

Maximum bearing pressure = 159.72

Minimum bearing pressure = -45.61

Recalculation of max pressure done below as min pressure is negative.

Recalculated max bearing press. = 170.76 Max bearing pressure is safe

Minimum bearing pressure = 0

DESIGN FORCESFactored load comb. no. 18

150 KN

150 KN-m

150 KN-m

( Pu/Area+ Muz/Zz + Mux/Zx) = 42.00

( Pu/Area - Muz/Zz - Mux/Zx) = -22.00Recalculation of maximum effective pressure done below as min pressure is negative.

m2

m3

m3

Grade of concrete fck = N/mm2

Grade of steel fy = N/mm2

Safe NET bearing pressure = KN/m2

KN/m2

Unfactored load case number =

Moment about Z axis (Mz) =

Moment about X axis (Mx) =

KN/m3

KN/m2

KN/m2

KN/m2

KN/m2

Axial load:(Pu) =

Moment about Z axis (Muz) =

Moment about X axis (Mux) =

Maximum effective soil pressure pe max

KN/m2

Minimum effective soil pressure pe min

KN/m2

PA

±M y

Z y±M x

Zx

globalZ

globalX

globalX

globalZ

Footing Dimensions

self wt of footing & soil wt is not to be considered in Pu.

Hide this two rows before print out if they are highlighted.

To perform successful iteration do not input '0' in these cells. Atleast input 0.1 to these cells when there is no moment.

If min pressure is negative then to recalculate pressure use solver of sheet1.



Hence, input the dimensions of footing easily by inputing footing length parallel to global Z and footing breadth parallel to global X.


H9


H15


H33

To perform successful iteration do not input '0' in these cells. Atleast input 0.1 to these cells when there is no moment.

H40


H42


H47

self wt of footing & soil wt is not to be considered in Pu.

H53



document.xls

75.15

0

Maximum effective soil pressure pe max KN/m2

Minimum effective soil pressure pe min KN/m2



H55



document.xls

CALCULATION FOR BOTTOM STEEL

173.68 KN-m per meterMulimit = 1228.80 KN-m per meter

The section is singly reinforced

Hence, Ast = 738.53

Min Ast = 800.40 (0.12 % for slab, cl 26.5.2.1)Spacing = 251.20 mm (considering max of above two calculated values of Ast)pt provided = 0.12 %Hence provide 16 mm dia bar @ 251 mm c/c parellel to length of footing ( || to Z) at bottom

54.10 KN-m per meter

Calc. Ast = 226.38 The section is singly reinforced

Min Ast = 800.40 (0.12 % for slab, cl 26.5.2.1)Spacing = 251.20 mm (considering max of above two calculated values of Ast)pt provided = 0.12 %Hence provide 16 mm dia bar @ 251 mm c/c parellel to breadth of footing ( || to X) at bottomArrangement of bottom reinforcement as per above design is shown below



1 1


Sec 1-1

1367 6001267

L1

a a

Z ZN1 N1

a a

L2 L2


700 Footing Length 5000 mm 533

PLAN

Mu about X1 X1 = ( pe max x length2/2)=

mm2

mm2

Mu about N1 N1 = ( pe max x length2/2)=

mm2

mm2

X1 X

X1 X

Ast=0 .5 f ckf y [1−√1− 4 .6M u

f ck bd2 ]bd




H58


H77



document.xls

CHECK FOR ONE WAY SHEAR :One way shear at critical section L1- L1Distance of critical sec. from edge of footing = 1.483 mShear force Vs =pe max x 1.483 x 1m width of footing = 111.44 KN

Shear stress 0.167

0.26

tv < tc hence O.K.

One way shear at critical section L2- L2Distance of critical sec. from edge of footing = 0.533 mShear force Vs =pe max x 0.533 x 1m width of footing = 40.05 KN

Shear stress 0.060

0.26

tv < tc hence O.K.

CHECK FOR TWO WAY SHEARRef. cl 34.2.4 and cl.31.6.3 of IS 456 : 2000

2.16667 >1

1

1.11803

1.11803Shear force Vs = 42 ( 5 x 3 - 1.367 x 1.267) = 557.26 KNLength of critical section = 2 x ( 1367 + 1267) = 5268 mm

Area of the critical section (length of critical sec x eff. d ) = 3513756

0.159tv < allowable hence O.K.

tv = Vs/bd = N/mm2

tc = N/mm2

tv = Vs/bd = N/mm2

tc = N/mm2

Allowable shear stress tv allowable = kstc

ks = ( 0.5 + bc) =

Hence, ks=

tc = 0.25 (fck)0.5 = N/mm2

tv allowable = ks x tc = N/mm2

mm2

Hence shear stress tv = N/mm2


H117


Analysis of pressure below footing under axial load and biaxial moments [Original Developer:

The footing slab area is divided into 20 x 20 = 400 elements.

To achieve this the moment My ( or Mx) is input as negative automatically.

No input from previous sheet is required. Only activity is to run the solver fron tools menu. Out put will automaticaly update in footing design sheet.

Footing dimension:Length = 5000Width = 3000

Input loading data:(anti clock +) Calculated values: Difference: %Axial (or P) = 855790 Axial (or P) = 845299.719744 10490.2802561 1.24101309998Mx (or Mz)= 500000000 Mx (or Mz)= 500010693.335 -10693.3347932 -0.00213862122My (or Mx) = -450000000 My (or Mx) = -450007446.948 7446.94774956 -0.00165484989

Trial parameters: Chart Plotting datax-intercept xc = 3086.7760603 \ define the location x yy-intercept yc = 1052.2052365 / of NA 3086.78 0

0.1707609525 0 1052.21

-2500 1500

Intermediate results: 2500 1500

Eqn NA> y = 1052.2052365 - x * 0.34088 2500 -1500

New origi 0 , 1052.2052 -2500 -1500

New angle in rad -0.328522759 -2500 1500

cos(phi) 0.94652 , sin(phi) = -0.322645 old newy' of lower left corn -3222.326159 x horizontal Z horizontal

y vertical x verticalMx MzMy Mx

Computation of Element stresses and stress resultants

Elem. no. Row fr bot Col fr left x y elem-area y' wrt NA stress elem-force Mx @ cg My @ cg1 1 1 -2375 -1425 37500 -3111.00651575327 0.16486178301301 6182.31686298777 8809801.52976 -14683002.54962 1 2 -2125 -1425 37500 -3030.3452301665 0.16058729393861 6022.02352269799 8581383.51984 -12796799.98573 1 3 -1875 -1425 37500 -2949.68394457973 0.15631280486422 5861.73018240821 8352965.50993 -10990744.0924 1 4 -1625 -1425 37500 -2869.02265899296 0.15203831578982 5701.43684211843 8124547.50002 -9264834.868445 1 5 -1375 -1425 37500 -2788.36137340619 0.14776382671543 5541.14350182866 7896129.49011 -7619072.315016 1 6 -1125 -1425 37500 -2707.70008781942 0.14348933764104 5380.85016153888 7667711.48019 -6053456.431737 1 7 -875 -1425 37500 -2627.03880223265 0.13921484856664 5220.5568212491 7439293.47028 -4567987.218598 1 8 -625 -1425 37500 -2546.37751664588 0.13494035949225 5060.26348095932 7210875.46037 -3162664.67569 1 9 -375 -1425 37500 -2465.71623105911 0.13066587041785 4899.97014066954 6982457.45045 -1837488.8027510 1 10 -125 -1425 37500 -2385.05494547234 0.12639138134346 4739.67680037976 6754039.44054 -592459.60004711 1 11 125 -1425 37500 -2304.39365988558 0.12211689226907 4579.38346008998 6525621.43063 572422.93251112 1 12 375 -1425 37500 -2223.73237429881 0.11784240319467 4419.09011980021 6297203.42072 1657158.7949313 1 13 625 -1425 37500 -2143.07108871204 0.11356791412028 4258.79677951043 6068785.4108 2661747.9871914 1 14 875 -1425 37500 -2062.40980312527 0.10929342504588 4098.50343922065 5840367.40089 3586190.5093215 1 15 1125 -1425 37500 -1981.7485175385 0.10501893597149 3938.21009893087 5611949.39098 4430486.361316 1 16 1375 -1425 37500 -1901.08723195173 0.1007444468971 3777.91675864109 5383531.38106 5194635.5431317 1 17 1625 -1425 37500 -1820.42594636496 0.0964699578227 3617.62341835131 5155113.37115 5878638.0548218 1 18 1875 -1425 37500 -1739.76466077819 0.09219546874831 3457.33007806154 4926695.36124 6482493.8963719 1 19 2125 -1425 37500 -1659.10337519142 0.08792097967391 3297.03673777176 4698277.35132 7006203.0677620 1 20 2375 -1425 37500 -1578.44208960465 0.08364649059952 3136.74339748198 4469859.34141 7449765.5690221 2 1 -2375 -1275 37500 -2969.02851561699 0.15733793305237 5900.17248946393 7522719.92407 -14012909.662522 2 2 -2125 -1275 37500 -2888.36723003022 0.15306344397798 5739.87914917416 7318345.9152 -12197243.19223 2 3 -1875 -1275 37500 -2807.70594444346 0.14878895490358 5579.58580888438 7113971.90633 -10461723.391724 2 4 -1625 -1275 37500 -2727.04465885669 0.14451446582919 5419.2924685946 6909597.89746 -8806350.2614725 2 5 -1375 -1275 37500 -2646.38337326992 0.1402399767548 5258.99912830482 6705223.88859 -7231123.8014226 2 6 -1125 -1275 37500 -2565.72208768315 0.1359654876804 5098.70578801504 6500849.87972 -5736044.0115227 2 7 -875 -1275 37500 -2485.06080209638 0.13169099860601 4938.41244772526 6296475.87085 -4321110.8917628 2 8 -625 -1275 37500 -2404.39951650961 0.12741650953161 4778.11910743549 6092101.86198 -2986324.4421529 2 9 -375 -1275 37500 -2323.73823092284 0.12314202045722 4617.82576714571 5887727.85311 -1731684.6626830 2 10 -125 -1275 37500 -2243.07694533607 0.11886753138282 4457.53242685593 5683353.84424 -557191.55335731 2 11 125 -1275 37500 -2162.4156597493 0.11459304230843 4297.23908656615 5478979.83537 537154.88582132 2 12 375 -1275 37500 -2081.75437416253 0.11031855323404 4136.94574627637 5274605.8265 1551354.6548533 2 13 625 -1275 37500 -2001.09308857576 0.10604406415964 3976.65240598659 5070231.81763 2485407.7537434 2 14 875 -1275 37500 -1920.43180298899 0.10176957508525 3816.35906569682 4865857.80876 3339314.1824835 2 15 1125 -1275 37500 -1839.77051740222 0.09749508601085 3656.06572540704 4661483.79989 4113073.9410836 2 16 1375 -1275 37500 -1759.10923181545 0.09322059693646 3495.77238511726 4457109.79102 4806687.0295437 2 17 1625 -1275 37500 -1678.44794622868 0.08894610786207 3335.47904482748 4252735.78216 5420153.4478438 2 18 1875 -1275 37500 -1597.78666064191 0.08467161878767 3175.1857045377 4048361.77329 5953473.1960139 2 19 2125 -1275 37500 -1517.12537505515 0.08039712971328 3014.89236424792 3843987.76442 6406646.2740340 2 20 2375 -1275 37500 -1436.46408946838 0.07612264063888 2854.59902395814 3639613.75555 6779672.681941 3 1 -2375 -1125 37500 -2827.05051548072 0.14981408309174 5618.0281159401 6320281.63043 -13342816.775442 3 2 -2125 -1125 37500 -2746.38922989395 0.14553959401734 5457.73477565032 6139951.62261 -11597686.398343 3 3 -1875 -1125 37500 -2665.72794430718 0.14126510494295 5297.44143536054 5959621.61478 -9932702.691344 3 4 -1625 -1125 37500 -2585.06665872041 0.13699061586855 5137.14809507076 5779291.60695 -8347865.6544945 3 5 -1375 -1125 37500 -2504.40537313364 0.13271612679416 4976.85475478098 5598961.59913 -6843175.2878246 3 6 -1125 -1125 37500 -2423.74408754687 0.12844163771977 4816.56141449121 5418631.5913 -5418631.591347 3 7 -875 -1125 37500 -2343.0828019601 0.12416714864537 4656.26807420143 5238301.58348 -4074234.5649348 3 8 -625 -1125 37500 -2262.42151637333 0.11989265957098 4495.97473391165 5057971.57565 -2809984.2086949 3 9 -375 -1125 37500 -2181.76023078656 0.11561817049658 4335.68139362187 4877641.56782 -1625880.5226150 3 10 -125 -1125 37500 -2101.09894519979 0.11134368142219 4175.38805333209 4697311.56 -521923.50666751 3 11 125 -1125 37500 -2020.43765961302 0.1070691923478 4015.09471304231 4516981.55217 501886.8391352 3 12 375 -1125 37500 -1939.77637402625 0.1027947032734 3854.80137275254 4336651.54435 1445550.5147853 3 13 625 -1125 37500 -1859.11508843949 0.09852021419901 3694.50803246276 4156321.53652 2309067.5202954 3 14 875 -1125 37500 -1778.45380285272 0.09424572512461 3534.21469217298 3975991.52869 3092437.8556555 3 15 1125 -1125 37500 -1697.79251726595 0.08997123605022 3373.9213518832 3795661.52087 3795661.5208756 3 16 1375 -1125 37500 -1617.13123167918 0.08569674697582 3213.62801159342 3615331.51304 4418738.5159457 3 17 1625 -1125 37500 -1536.46994609241 0.08142225790143 3053.33467130364 3435001.50522 4961668.8408758 3 18 1875 -1125 37500 -1455.80866050564 0.07714776882704 2893.04133101386 3254671.49739 5424452.4956559 3 19 2125 -1125 37500 -1375.14737491887 0.07287327975264 2732.74799072409 3074341.48956 5807089.4802960 3 20 2375 -1125 37500 -1294.4860893321 0.06859879067825 2572.45465043431 2894011.48174 6109579.7947861 4 1 -2375 -975 37500 -2685.07251534444 0.1422902331311 5335.88374241626 5202486.64886 -12672723.888262 4 2 -2125 -975 37500 -2604.41122975767 0.13801574405671 5175.59040212648 5046200.64207 -10998129.604563 4 3 -1875 -975 37500 -2523.7499441709 0.13374125498231 5015.2970618367 4889914.63529 -9403681.9909464 4 4 -1625 -975 37500 -2443.08865858413 0.12946676590792 4855.00372154693 4733628.62851 -7889381.0475165 4 5 -1375 -975 37500 -2362.42737299736 0.12519227683352 4694.71038125715 4577342.62173 -6455226.7742366 4 6 -1125 -975 37500 -2281.7660874106 0.12091778775913 4534.41704096737 4421056.61494 -5101219.1710967 4 7 -875 -975 37500 -2201.10480182383 0.11664329868474 4374.12370067759 4264770.60816 -3827358.2380968 4 8 -625 -975 37500 -2120.44351623706 0.11236880961034 4213.83036038781 4108484.60138 -2633643.9752469 4 9 -375 -975 37500 -2039.78223065029 0.10809432053595 4053.53702009804 3952198.5946 -1520076.3825470 4 10 -125 -975 37500 -1959.12094506352 0.10381983146155 3893.24367980826 3795912.58781 -486655.45997671 4 11 125 -975 37500 -1878.45965947675 0.09954534238716 3732.95033951848 3639626.58103 466618.7924472 4 12 375 -975 37500 -1797.79837388998 0.09527085331277 3572.6569992287 3483340.57425 1339746.3747173 4 13 625 -975 37500 -1717.13708830321 0.09099636423837 3412.36365893892 3327054.56747 2132727.2868474 4 14 875 -975 37500 -1636.47580271644 0.08672187516398 3252.07031864914 3170768.56068 2845561.5288275 4 15 1125 -975 37500 -1555.81451712967 0.08244738608958 3091.77697835936 3014482.5539 3478249.1006576 4 16 1375 -975 37500 -1475.1532315429 0.07817289701519 2931.48363806959 2858196.54712 4030790.0023577 4 17 1625 -975 37500 -1394.49194595613 0.07389840794079 2771.19029777981 2701910.54034 4503184.2338978 4 18 1875 -975 37500 -1313.83066036936 0.0696239188664 2610.89695749003 2545624.53355 4895431.7952979 4 19 2125 -975 37500 -1233.16937478259 0.06534942979201 2450.60361720025 2389338.52677 5207532.6865580 4 20 2375 -975 37500 -1152.50808919582 0.06107494071761 2290.31027691047 2233052.51999 5439486.9076681 5 1 -2375 -825 37500 -2543.09451520817 0.13476638317046 5053.73936889243 4169334.97934 -12002631.001182 5 2 -2125 -825 37500 -2462.4332296214 0.13049189409607 4893.44602860265 4037092.9736 -10398572.810883 5 3 -1875 -825 37500 -2381.77194403463 0.12621740502168 4733.15268831287 3904850.96786 -8874661.29059

UNITS are N and mm; AXES are x (or Z) horizontal & y (or X) vertically upwards; The origin is at the cg of area.LOWER LEFT corner is assumed as the most compressed point of the area.

s c max =

-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000

-5000

-4000

-3000

-2000

-1000

0

1000

2000

3000

4000

5000

Neutral axis location

X axis (length of footing)

Y a

xis

(w

idth

of

foo

tin

g)

84 5 4 -1625 -825 37500 -2301.11065844786 0.12194291594728 4572.85934802309 3772608.96212 -7430896.4405485 5 5 -1375 -825 37500 -2220.44937286109 0.11766842687289 4412.56600773331 3640366.95638 -6067278.2606386 5 6 -1125 -825 37500 -2139.78808727432 0.11339393779849 4252.27266744353 3508124.95064 -4783806.7508787 5 7 -875 -825 37500 -2059.12680168755 0.1091194487241 4091.97932715376 3375882.9449 -3580481.9112688 5 8 -625 -825 37500 -1978.46551610078 0.10484495964971 3931.68598686398 3243640.93916 -2457303.7417989 5 9 -375 -825 37500 -1897.80423051401 0.10057047057531 3771.3926465742 3111398.93342 -1414272.2424790 5 10 -125 -825 37500 -1817.14294492724 0.09629598150092 3611.09930628442 2979156.92768 -451387.41328691 5 11 125 -825 37500 -1736.48165934047 0.09202149242652 3450.80596599464 2846914.92195 431350.74574992 5 12 375 -825 37500 -1655.8203737537 0.08774700335213 3290.51262570486 2714672.91621 1233942.2346493 5 13 625 -825 37500 -1575.15908816693 0.08347251427774 3130.21928541509 2582430.91047 1956387.0533894 5 14 875 -825 37500 -1494.49780258016 0.07919802520334 2969.92594512531 2450188.90473 2598685.2019895 5 15 1125 -825 37500 -1413.8365169934 0.07492353612895 2809.63260483553 2317946.89899 3160836.6804496 5 16 1375 -825 37500 -1333.17523140663 0.07064904705455 2649.33926454575 2185704.89325 3642841.4887597 5 17 1625 -825 37500 -1252.51394581986 0.06637455798016 2489.04592425597 2053462.88751 4044699.6269298 5 18 1875 -825 37500 -1171.85266023309 0.06210006890577 2328.75258396619 1921220.88177 4366411.0949499 5 19 2125 -825 37500 -1091.19137464632 0.05782557983137 2168.45924367642 1788978.87603 4607975.89281100 5 20 2375 -825 37500 -1010.53008905955 0.05355109075698 2008.16590338664 1656736.87029 4769394.02054101 6 1 -2375 -675 37500 -2401.11651507189 0.12724253320983 4771.59499536859 3220826.62187 -11332538.114102 6 2 -2125 -675 37500 -2320.45522948512 0.12296804413544 4611.30165507881 3112628.61718 -9799016.01704103 6 3 -1875 -675 37500 -2239.79394389835 0.11869355506104 4451.00831478903 3004430.61248 -8345640.59023104 6 4 -1625 -675 37500 -2159.13265831158 0.11441906598665 4290.71497449926 2896232.60779 -6972411.83356105 6 5 -1375 -675 37500 -2078.47137272481 0.11014457691225 4130.42163420948 2788034.60309 -5679329.74704106 6 6 -1125 -675 37500 -1997.81008713804 0.10587008783786 3970.1282939197 2679836.5984 -4466394.33066107 6 7 -875 -675 37500 -1917.14880155127 0.10159559876346 3809.83495362992 2571638.5937 -3333605.58443108 6 8 -625 -675 37500 -1836.48751596451 0.09732110968907 3649.54161334014 2463440.589 -2280963.50834109 6 9 -375 -675 37500 -1755.82623037774 0.09304662061468 3489.24827305036 2355242.58431 -1308468.10239110 6 10 -125 -675 37500 -1675.16494479097 0.08877213154028 3328.95493276059 2247044.57961 -416119.366595111 6 11 125 -675 37500 -1594.5036592042 0.08449764246589 3168.66159247081 2138846.57492 396082.699059112 6 12 375 -675 37500 -1513.84237361743 0.08022315339149 3008.36825218103 2030648.57022 1128138.09457113 6 13 625 -675 37500 -1433.18108803066 0.0759486643171 2848.07491189125 1922450.56553 1780046.81993114 6 14 875 -675 37500 -1352.51980244389 0.07167417524271 2687.78157160147 1814252.56083 2351808.87515115 6 15 1125 -675 37500 -1271.85851685712 0.06739968616831 2527.48823131169 1706054.55614 2843424.26023116 6 16 1375 -675 37500 -1191.19723127035 0.06312519709392 2367.19489102192 1597856.55144 3254892.97516117 6 17 1625 -675 37500 -1110.53594568358 0.05885070801952 2206.90155073214 1489658.54674 3586215.01994118 6 18 1875 -675 37500 -1029.87466009681 0.05457621894513 2046.60821044236 1381460.54205 3837390.39458119 6 19 2125 -675 37500 -949.213374510042 0.05030172987074 1886.31487015258 1273262.53735 4008419.09907120 6 20 2375 -675 37500 -868.552088923273 0.04602724079634 1726.0215298628 1165064.53266 4099301.13342121 7 1 -2375 -525 37500 -2259.13851493562 0.11971868324919 4489.45062184476 2356961.57647 -10662445.2269122 7 2 -2125 -525 37500 -2178.47722934885 0.1154441941748 4329.15728155498 2272807.57282 -9199459.2233123 7 3 -1875 -525 37500 -2097.81594376208 0.11116970510041 4168.8639412652 2188653.56916 -7816619.88987124 7 4 -1625 -525 37500 -2017.15465817531 0.10689521602601 4008.57060097542 2104499.56551 -6513927.22659125 7 5 -1375 -525 37500 -1936.49337258854 0.10262072695162 3848.27726068564 2020345.56186 -5291381.23344126 7 6 -1125 -525 37500 -1855.83208700177 0.09834623787722 3687.98392039586 1936191.55821 -4148981.91045127 7 7 -875 -525 37500 -1775.170801415 0.09407174880283 3527.69058010609 1852037.55456 -3086729.25759128 7 8 -625 -525 37500 -1694.50951582823 0.08979725972843 3367.39723981631 1767883.5509 -2104623.27489129 7 9 -375 -525 37500 -1613.84823024146 0.08552277065404 3207.10389952653 1683729.54725 -1202663.96232130 7 10 -125 -525 37500 -1533.18694465469 0.08124828157965 3046.81055923675 1599575.5436 -380851.319905131 7 11 125 -525 37500 -1452.52565906792 0.07697379250525 2886.51721894697 1515421.53995 360814.652368132 7 12 375 -525 37500 -1371.86437348115 0.07269930343086 2726.22387865719 1431267.5363 1022333.9545133 7 13 625 -525 37500 -1291.20308789438 0.06842481435646 2565.93053836741 1347113.53264 1603706.58648134 7 14 875 -525 37500 -1210.54180230761 0.06415032528207 2405.63719807764 1262959.52899 2104932.54832135 7 15 1125 -525 37500 -1129.88051672084 0.05987583620768 2245.34385778786 1178805.52534 2526011.84001136 7 16 1375 -525 37500 -1049.21923113407 0.05560134713328 2085.05051749808 1094651.52169 2866944.46156137 7 17 1625 -525 37500 -968.557945547305 0.05132685805889 1924.7571772083 1010497.51803 3127730.41296138 7 18 1875 -525 37500 -887.896659960536 0.04705236898449 1764.46383691852 926343.514382 3308369.69422139 7 19 2125 -525 37500 -807.235374373767 0.0427778799101 1604.17049662874 842189.51073 3408862.30534140 7 20 2375 -525 37500 -726.574088786997 0.03850339083571 1443.87715633897 758035.507078 3429208.24631141 8 1 -2375 -375 37500 -2117.16051479934 0.11219483328856 4207.30624832092 1577739.84312 -9992352.33976142 8 2 -2125 -375 37500 -2036.49922921257 0.10792034421416 4047.01290803114 1517629.84051 -8599902.42957143 8 3 -1875 -375 37500 -1955.8379436258 0.10364585513977 3886.71956774136 1457519.8379 -7287599.18952144 8 4 -1625 -375 37500 -1875.17665803903 0.09937136606538 3726.42622745159 1397409.83529 -6055442.61961145 8 5 -1375 -375 37500 -1794.51537245226 0.09509687699098 3566.13288716181 1337299.83269 -4903432.71985146 8 6 -1125 -375 37500 -1713.85408686549 0.09082238791659 3405.83954687203 1277189.83008 -3831569.49023147 8 7 -875 -375 37500 -1633.19280127872 0.08654789884219 3245.54620658225 1217079.82747 -2839852.93076148 8 8 -625 -375 37500 -1552.53151569195 0.0822734097678 3085.25286629247 1156969.82486 -1928283.04143149 8 9 -375 -375 37500 -1471.87023010518 0.07799892069341 2924.95952600269 1096859.82225 -1096859.82225150 8 10 -125 -375 37500 -1391.20894451842 0.07372443161901 2764.66618571291 1036749.81964 -345583.273214151 8 11 125 -375 37500 -1310.54765893165 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332 17 12 375 975 37500 47.9156278816038 -0.0025391961755 0 0 0333 17 13 625 975 37500 128.576913468373 -0.00681368524989 0 0 0334 17 14 875 975 37500 209.238199055143 -0.01108817432429 0 0 0335 17 15 1125 975 37500 289.899484641912 -0.01536266339868 0 0 0336 17 16 1375 975 37500 370.560770228681 -0.01963715247307 0 0 0337 17 17 1625 975 37500 451.222055815451 -0.02391164154747 0 0 0338 17 18 1875 975 37500 531.88334140222 -0.02818613062186 0 0 0339 17 19 2125 975 37500 612.544626988989 -0.03246061969626 0 0 0340 17 20 2375 975 37500 693.205912575759 -0.03673510877065 0 0 0341 18 1 -2375 1125 37500 -697.380513436584 0.0369563336822 1385.86251308257 -1559095.32722 -3291423.46857342 18 2 -2125 1125 37500 -616.719227849815 0.03268184460781 1225.56917279279 -1378765.31939 -2604334.49218343 18 3 -1875 1125 37500 -536.057942263045 0.02840735553341 1065.27583250301 -1198435.31157 -1997392.18594344 18 4 -1625 1125 37500 -455.396656676276 0.02413286645902 904.98249221323 -1018105.30374 -1470596.54985345 18 5 -1375 1125 37500 -374.735371089507 0.01985837738463 744.689151923452 -837775.295914 -1023947.58389346 18 6 -1125 1125 37500 -294.074085502737 0.01558388831023 584.395811633674 -657445.288088 -657445.288088347 18 7 -875 1125 37500 -213.412799915968 0.01130939923584 424.102471343895 -477115.280262 -371089.662426348 18 8 -625 1125 37500 -132.751514329198 0.00703491016144 263.809131054117 -296785.272436 -164880.706909349 18 9 -375 1125 37500 -52.0902287424291 0.00276042108705 103.515790764339 -116455.26461 -38818.4215366350 18 10 -125 1125 37500 28.5710568443403 -0.00151406798735 0 0 0351 18 11 125 1125 37500 109.23234243111 -0.00578855706174 0 0 0352 18 12 375 1125 37500 189.893628017879 -0.01006304613613 0 0 0353 18 13 625 1125 37500 270.554913604648 -0.01433753521053 0 0 0354 18 14 875 1125 37500 351.216199191418 -0.01861202428492 0 0 0355 18 15 1125 1125 37500 431.877484778187 -0.02288651335932 0 0 0356 18 16 1375 1125 37500 512.538770364957 -0.02716100243371 0 0 0357 18 17 1625 1125 37500 593.200055951726 -0.0314354915081 0 0 0358 18 18 1875 1125 37500 673.861341538495 -0.0357099805825 0 0 0359 18 19 2125 1125 37500 754.522627125265 -0.03998446965689 0 0 0360 18 20 2375 1125 37500 835.183912712034 -0.04425895873129 0 0 0361 19 1 -2375 1275 37500 -555.402513300308 0.02943248372157 1103.71813955873 -1407240.62794 -2621330.58145362 19 2 -2125 1275 37500 -474.741227713539 0.02515799464717 943.424799268951 -1202866.61907 -2004777.69845363 19 3 -1875 1275 37500 -394.07994212677 0.02088350557278 783.131458979173 -998492.610198 -1468371.48559364 19 4 -1625 1275 37500 -313.41865654 0.01660901649838 622.838118689395 -794118.601329 -1012111.94287365 19 5 -1375 1275 37500 -232.757370953231 0.01233452742399 462.544778399616 -589744.59246 -635999.070299366 19 6 -1125 1275 37500 -152.096085366461 0.0080600383496 302.251438109838 -385370.58359 -340032.867874367 19 7 -875 1275 37500 -71.434799779692 0.0037855492752 141.958097820059 -180996.574721 -124213.335593368 19 8 -625 1275 37500 9.22648580707735 -0.00048893979919 0 0 0369 19 9 -375 1275 37500 89.8877713938467 -0.00476342887359 0 0 0370 19 10 -125 1275 37500 170.549056980616 -0.00903791794798 0 0 0371 19 11 125 1275 37500 251.210342567386 -0.01331240702237 0 0 0372 19 12 375 1275 37500 331.871628154155 -0.01758689609677 0 0 0373 19 13 625 1275 37500 412.532913740924 -0.02186138517116 0 0 0374 19 14 875 1275 37500 493.194199327694 -0.02613587424556 0 0 0375 19 15 1125 1275 37500 573.855484914463 -0.03041036331995 0 0 0376 19 16 1375 1275 37500 654.516770501232 -0.03468485239435 0 0 0377 19 17 1625 1275 37500 735.178056088002 -0.03895934146874 0 0 0378 19 18 1875 1275 37500 815.839341674771 -0.04323383054313 0 0 0379 19 19 2125 1275 37500 896.50062726154 -0.04750831961753 0 0 0380 19 20 2375 1275 37500 977.16191284831 -0.05178280869192 0 0 0381 20 1 -2375 1425 37500 -413.424513164033 0.02190863376093 821.573766034895 -1170742.6166 -1951237.69433382 20 2 -2125 1425 37500 -332.763227577263 0.01763414468654 661.280425745116 -942324.606687 -1405220.90471383 20 3 -1875 1425 37500 -252.101941990494 0.01335965561214 500.987085455338 -713906.596774 -939350.785229384 20 4 -1625 1425 37500 -171.440656403725 0.00908516653775 340.69374516556 -485488.586861 -553627.335894385 20 5 -1375 1425 37500 -90.7793708169554 0.00481067746335 180.400404875781 -257070.576948 -248050.556704386 20 6 -1125 1425 37500 -10.118085230186 0.00053618838896 20.1070645860028 -28652.5670351 -22620.4476593387 20 7 -875 1425 37500 70.5432003565834 -0.00373830068543 0 0 0388 20 8 -625 1425 37500 151.204485943353 -0.00801278975983 0 0 0389 20 9 -375 1425 37500 231.865771530122 -0.01228727883422 0 0 0390 20 10 -125 1425 37500 312.527057116891 -0.01656176790862 0 0 0391 20 11 125 1425 37500 393.188342703661 -0.02083625698301 0 0 0392 20 12 375 1425 37500 473.84962829043 -0.0251107460574 0 0 0393 20 13 625 1425 37500 554.5109138772 -0.0293852351318 0 0 0394 20 14 875 1425 37500 635.172199463969 -0.03365972420619 0 0 0395 20 15 1125 1425 37500 715.833485050738 -0.03793421328059 0 0 0396 20 16 1375 1425 37500 796.494770637508 -0.04220870235498 0 0 0397 20 17 1625 1425 37500 877.156056224277 -0.04648319142937 0 0 0398 20 18 1875 1425 37500 957.817341811046 -0.05075768050377 0 0 0399 20 19 2125 1425 37500 1038.47862739782 -0.05503216957816 0 0 0400 20 20 2375 1425 37500 1119.13991298459 -0.05930665865256 0 0 0

TOTAL 15000000 845299.719743885 500010693.335 -450007446.948

D. G. Bhagwat]

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-5000

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foo

tin

g)

Analysis of pressure below footing under axial load and biaxial moments [Original Developer:

The footing slab area is divided into 20 x 20 = 400 elements.

To achieve this the moment My ( or Mx) is input as negative automatically.

No input from previous sheet is required. Only activity is to run the solver fron tools menu. Out put will automaticaly update in footing design sheet.

Footing dimension:Length = 5000Width = 3000

Input loading data:(anti clock +) Calculated values: Difference: %Axial (or P) = 150000 Axial (or P) = 150001.594803 -1.59480308354 -0.00106319075Mx (or Mz)= 150000000 Mx (or Mz)= 149999185.115 814.885216236 0.00054325976My (or Mx) = -150000000 My (or Mx) = -150002259.153 2259.1532025 -0.00150607945

Trial parameters: Chart Plotting datax-intercept xc = -1017.474629 \ define the location x yy-intercept yc = -331.8921986 / of NA -1017.47 0

0.0751456324 0 -331.89

-2500 1500

Intermediate results: 2500 1500

Eqn NA> y = -331.8921986 - x * 0.32619 2500 -1500

New origi 0 , -331.8922 -2500 -1500

New angle in rad -0.315309746 -2500 1500

cos(phi) 0.9507 , sin(phi) = -0.310111 old newy' of lower left corn -1885.797922 x horizontal Z horizontal

y vertical x verticalMx MzMy Mx

Computation of Element stresses and stress resultants

Elem. no. Row fr bot Col fr left x y elem-area y' wrt NA stress elem-force Mx @ cg My @ cg1 1 1 -2375 -1425 37500 -1775.73152419166 0.07075968578443 2653.48821691606 3781220.70911 -6302034.515182 1 2 -2125 -1425 37500 -1698.20378375706 0.06767034571359 2537.63796425979 3616134.09907 -5392480.674053 1 3 -1875 -1425 37500 -1620.67604332247 0.06458100564276 2421.78771160351 3451047.48903 -4540851.959264 1 4 -1625 -1425 37500 -1543.14830288788 0.06149166557193 2305.93745894723 3285960.879 -3747148.370795 1 5 -1375 -1425 37500 -1465.62056245328 0.05840232550109 2190.08720629095 3120874.26896 -3011369.908656 1 6 -1125 -1425 37500 -1388.09282201869 0.05531298543026 2074.23695363468 2955787.65893 -2333516.572847 1 7 -875 -1425 37500 -1310.5650815841 0.05222364535942 1958.3867009784 2790701.04889 -1713588.363368 1 8 -625 -1425 37500 -1233.0373411495 0.04913430528859 1842.53644832212 2625614.43886 -1151585.28029 1 9 -375 -1425 37500 -1155.50960071491 0.04604496521776 1726.68619566585 2460527.82882 -647507.32337510 1 10 -125 -1425 37500 -1077.98186028032 0.04295562514692 1610.83594300957 2295441.21879 -201354.49287611 1 11 125 -1425 37500 -1000.45411984573 0.03986628507609 1494.98569035329 2130354.60875 186873.21129412 1 12 375 -1425 37500 -922.926379411133 0.03677694500525 1379.13543769701 1965267.99872 517175.78913613 1 13 625 -1425 37500 -845.39863897654 0.03368760493442 1263.28518504074 1800181.38868 789553.2406514 1 14 875 -1425 37500 -767.870898541947 0.03059826486359 1147.43493238446 1635094.77865 1004005.5658415 1 15 1125 -1425 37500 -690.343158107354 0.02750892479275 1031.58467972818 1470008.16861 1160532.7646916 1 16 1375 -1425 37500 -612.815417672761 0.02441958472192 915.734427071905 1304921.55858 1259134.8372217 1 17 1625 -1425 37500 -535.287677238168 0.02133024465108 799.884174415628 1139834.94854 1299811.7834318 1 18 1875 -1425 37500 -457.759936803575 0.01824090458025 684.033921759351 974748.338507 1282563.603319 1 19 2125 -1425 37500 -380.232196368982 0.01515156450942 568.183669103074 809661.728472 1207390.2968420 1 20 2375 -1425 37500 -302.704455934389 0.01206222443858 452.333416446797 644575.118437 1074291.8640621 2 1 -2375 -1275 37500 -1633.12646885799 0.0650771325554 2440.39247082753 3111500.40031 -5795932.1182222 2 2 -2125 -1275 37500 -1555.5987284234 0.06198779248457 2324.54221817125 2963791.32817 -4939652.2136123 2 3 -1875 -1275 37500 -1478.0709879888 0.05889845241373 2208.69196551497 2816082.25603 -4141297.4353424 2 4 -1625 -1275 37500 -1400.54324755421 0.0558091123429 2092.8417128587 2668373.18389 -3400867.783425 2 5 -1375 -1275 37500 -1323.01550711962 0.05271977227206 1976.99146020242 2520664.11176 -2718363.2577826 2 6 -1125 -1275 37500 -1245.48776668502 0.04963043220123 1861.14120754614 2372955.03962 -2093783.8584927 2 7 -875 -1275 37500 -1167.96002625043 0.0465410921304 1745.29095488987 2225245.96748 -1527129.5855328 2 8 -625 -1275 37500 -1090.43228581584 0.04345175205956 1629.44070223359 2077536.89535 -1018400.438929 2 9 -375 -1275 37500 -1012.90454538124 0.04036241198873 1513.59044957731 1929827.82321 -567596.41859130 2 10 -125 -1275 37500 -935.376804946652 0.03727307191789 1397.74019692103 1782118.75107 -174717.52461531 2 11 125 -1275 37500 -857.849064512059 0.03418373184706 1281.88994426476 1634409.67894 160236.24303332 2 12 375 -1275 37500 -780.321324077466 0.03109439177623 1166.03969160848 1486700.6068 437264.88435333 2 13 625 -1275 37500 -702.793583642873 0.02800505170539 1050.1894389522 1338991.53466 656368.39934534 2 14 875 -1275 37500 -625.26584320828 0.02491571163456 934.339186295926 1191282.46253 817546.78800935 2 15 1125 -1275 37500 -547.738102773687 0.02182637156372 818.48893363965 1043573.39039 920800.05034536 2 16 1375 -1275 37500 -470.210362339094 0.01873703149289 702.638680983372 895864.318254 966128.18635237 2 17 1625 -1275 37500 -392.682621904501 0.01564769142206 586.788428327095 748155.246117 953531.19603238 2 18 1875 -1275 37500 -315.154881469908 0.01255835135122 470.938175670818 600446.17398 883009.07938339 2 19 2125 -1275 37500 -237.627141035315 0.00946901128039 355.087923014541 452737.101844 754561.83640640 2 20 2375 -1275 37500 -160.099400600722 0.00637967120955 239.237670358264 305028.029707 568189.46710141 3 1 -2375 -1125 37500 -1490.52141352432 0.05939457932637 2227.296724739 2505708.81533 -5289829.7212642 3 2 -2125 -1125 37500 -1412.99367308973 0.05630523925554 2111.44647208272 2375377.28109 -4486823.7531843 3 3 -1875 -1125 37500 -1335.46593265513 0.05321589918471 1995.59621942644 2245045.74685 -3741742.9114244 3 4 -1625 -1125 37500 -1257.93819222054 0.05012655911387 1879.74596677016 2114714.21262 -3054587.19645 3 5 -1375 -1125 37500 -1180.41045178595 0.04703721904304 1763.89571411389 1984382.67838 -2425356.6069146 3 6 -1125 -1125 37500 -1102.88271135136 0.0439478789722 1648.04546145761 1854051.14414 -1854051.1441447 3 7 -875 -1125 37500 -1025.35497091676 0.04085853890137 1532.19520880133 1723719.6099 -1340670.807748 3 8 -625 -1125 37500 -947.82723048217 0.03776919883053 1416.34495614506 1593388.07566 -885215.59759149 3 9 -375 -1125 37500 -870.299490047577 0.0346798587597 1300.49470348878 1463056.54142 -487685.51380850 3 10 -125 -1125 37500 -792.771749612984 0.03159051868887 1184.6444508325 1332725.00719 -148080.55635451 3 11 125 -1125 37500 -715.244009178391 0.02850117861803 1068.79419817622 1202393.47295 133599.27477252 3 12 375 -1125 37500 -637.716268743798 0.0254118385472 952.943945519947 1072061.93871 357353.9795753 3 13 625 -1125 37500 -560.188528309205 0.02232249847636 837.09369286367 941730.404472 523183.5580454 3 14 875 -1125 37500 -482.660787874612 0.01923315840553 721.243440207393 811398.870233 631088.01018155 3 15 1125 -1125 37500 -405.133047440019 0.0161438183347 605.393187551116 681067.335995 681067.33599556 3 16 1375 -1125 37500 -327.605307005427 0.01305447826386 489.542934894839 550735.801757 673121.5354857 3 17 1625 -1125 37500 -250.077566570833 0.00996513819303 373.692682238562 420404.267518 607250.60863858 3 18 1875 -1125 37500 -172.549826136241 0.00687579812219 257.842429582285 290072.73328 483454.55546759 3 19 2125 -1125 37500 -95.0220857016477 0.00378645805136 141.992176926007 159741.199042 301733.37596860 3 20 2375 -1125 37500 -17.4943452670548 0.00069711798053 26.1419242697304 29409.6648034 62087.070140661 4 1 -2375 -975 37500 -1347.91635819065 0.05371202609735 2014.20097865046 1963845.95418 -4783727.3242962 4 2 -2125 -975 37500 -1270.38861775606 0.05062268602651 1898.35072599418 1850891.95784 -4033995.2927463 4 3 -1875 -975 37500 -1192.86087732147 0.04753334595568 1782.50047333791 1737937.9615 -3342188.3875164 4 4 -1625 -975 37500 -1115.33313688687 0.04444400588484 1666.65022068163 1624983.96516 -2708306.6086165 4 5 -1375 -975 37500 -1037.80539645228 0.04135466581401 1550.79996802535 1512029.96882 -2132349.9560366 4 6 -1125 -975 37500 -960.277656017689 0.03826532574318 1434.94971536908 1399075.97248 -1614318.4297967 4 7 -875 -975 37500 -882.749915583096 0.03517598567234 1319.0994627128 1286121.97614 -1154212.0298768 4 8 -625 -975 37500 -805.222175148503 0.03208664560151 1203.24921005652 1173167.97981 -752030.75628569 4 9 -375 -975 37500 -727.69443471391 0.02899730553067 1087.39895740025 1060213.98347 -407774.60902570 4 10 -125 -975 37500 -650.166694279317 0.02590796545984 971.548704743968 947259.987125 -121443.58809371 4 11 125 -975 37500 -572.638953844724 0.02281862538901 855.698452087691 834305.990785 106962.30651172 4 12 375 -975 37500 -495.111213410131 0.01972928531817 739.848199431414 721351.994446 277443.07478773 4 13 625 -975 37500 -417.583472975538 0.01663994524734 623.997946775137 608397.998106 389998.71673474 4 14 875 -975 37500 -340.055732540945 0.0135506051765 508.14769411886 495444.001766 444629.23235475 4 15 1125 -975 37500 -262.527992106352 0.01046126510567 392.297441462583 382490.005426 441334.62164576 4 16 1375 -975 37500 -185.000251671759 0.00737192503483 276.447188806306 269536.009086 380114.88460977 4 17 1625 -975 37500 -107.472511237166 0.004282584964 160.596936150028 156582.012746 260970.02124478 4 18 1875 -975 37500 -29.9447708025734 0.00119324489317 44.7466834937514 43628.0164064 83900.031550879 4 19 2125 -975 37500 47.5829696320195 -0.00189609517767 0 0 080 4 20 2375 -975 37500 125.110710066612 -0.0049854352485 0 0 081 5 1 -2375 -825 37500 -1205.31130285699 0.04802947286832 1801.10523256193 1485911.81686 -4277624.9273382 5 2 -2125 -825 37500 -1127.78356242239 0.04494013279748 1685.25497990565 1390335.35842 -3581166.832383 5 3 -1875 -825 37500 -1050.2558219878 0.04185079272665 1569.40472724938 1294758.89998 -2942633.86359

UNITS are N and mm; AXES are x (or Z) horizontal & y (or X) vertically upwards; The origin is at the cg of area.LOWER LEFT corner is assumed as the most compressed point of the area.

s c max =

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Y a

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tin

g)

84 5 4 -1625 -825 37500 -972.728081553207 0.03876145265582 1453.5544745931 1199182.44154 -2362026.0212185 5 5 -1375 -825 37500 -895.200341118614 0.03567211258498 1337.70422193682 1103605.9831 -1839343.3051686 5 6 -1125 -825 37500 -817.672600684021 0.03258277251415 1221.85396928054 1008029.52466 -1374585.7154487 5 7 -875 -825 37500 -740.144860249428 0.02949343244331 1106.00371662427 912453.066215 -967753.25204688 5 8 -625 -825 37500 -662.617119814836 0.02640409237248 990.153463967989 816876.607774 -618845.9149889 5 9 -375 -825 37500 -585.089379380243 0.02331475230165 874.303211311712 721300.149332 -327863.70424290 5 10 -125 -825 37500 -507.56163894565 0.02022541223081 758.452958655435 625723.690891 -94806.619831991 5 11 125 -825 37500 -430.033898511057 0.01713607215998 642.602705999158 530147.232449 80325.338249992 5 12 375 -825 37500 -352.506158076464 0.01404673208914 526.752453342881 434570.774008 197532.17000493 5 13 625 -825 37500 -274.978417641871 0.01095739201831 410.902200686604 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-0.05155069350099 0 0 0314 16 14 875 825 37500 1371.20493146306 -0.05464003357183 0 0 0315 16 15 1125 825 37500 1448.73267189766 -0.05772937364266 0 0 0316 16 16 1375 825 37500 1526.26041233225 -0.0608187137135 0 0 0317 16 17 1625 825 37500 1603.78815276684 -0.06390805378433 0 0 0318 16 18 1875 825 37500 1681.31589320143 -0.06699739385516 0 0 0319 16 19 2125 825 37500 1758.84363363603 -0.070086733926 0 0 0320 16 20 2375 825 37500 1836.37137407062 -0.07317607399683 0 0 0321 17 1 -2375 975 37500 505.949361147021 -0.02016116588001 0 0 0322 17 2 -2125 975 37500 583.477101581614 -0.02325050595085 0 0 0323 17 3 -1875 975 37500 661.004842016207 -0.02633984602168 0 0 0324 17 4 -1625 975 37500 738.5325824508 -0.02942918609251 0 0 0325 17 5 -1375 975 37500 816.060322885393 -0.03251852616335 0 0 0326 17 6 -1125 975 37500 893.588063319986 -0.03560786623418 0 0 0327 17 7 -875 975 37500 971.115803754579 -0.03869720630502 0 0 0328 17 8 -625 975 37500 1048.64354418917 -0.04178654637585 0 0 0329 17 9 -375 975 37500 1126.17128462376 -0.04487588644668 0 0 0330 17 10 -125 975 37500 1203.69902505836 -0.04796522651752 0 0 0331 17 11 125 975 37500 1281.22676549295 -0.05105456658835 0 0 0

332 17 12 375 975 37500 1358.75450592754 -0.05414390665919 0 0 0333 17 13 625 975 37500 1436.28224636214 -0.05723324673002 0 0 0334 17 14 875 975 37500 1513.80998679673 -0.06032258680086 0 0 0335 17 15 1125 975 37500 1591.33772723132 -0.06341192687169 0 0 0336 17 16 1375 975 37500 1668.86546766592 -0.06650126694252 0 0 0337 17 17 1625 975 37500 1746.39320810051 -0.06959060701336 0 0 0338 17 18 1875 975 37500 1823.9209485351 -0.07267994708419 0 0 0339 17 19 2125 975 37500 1901.44868896969 -0.07576928715503 0 0 0340 17 20 2375 975 37500 1978.97642940429 -0.07885862722586 0 0 0341 18 1 -2375 1125 37500 648.554416480688 -0.02584371910904 0 0 0342 18 2 -2125 1125 37500 726.082156915281 -0.02893305917987 0 0 0343 18 3 -1875 1125 37500 803.609897349874 -0.03202239925071 0 0 0344 18 4 -1625 1125 37500 881.137637784467 -0.03511173932154 0 0 0345 18 5 -1375 1125 37500 958.66537821906 -0.03820107939238 0 0 0346 18 6 -1125 1125 37500 1036.19311865365 -0.04129041946321 0 0 0347 18 7 -875 1125 37500 1113.72085908825 -0.04437975953404 0 0 0348 18 8 -625 1125 37500 1191.24859952284 -0.04746909960488 0 0 0349 18 9 -375 1125 37500 1268.77633995743 -0.05055843967571 0 0 0350 18 10 -125 1125 37500 1346.30408039202 -0.05364777974655 0 0 0351 18 11 125 1125 37500 1423.83182082662 -0.05673711981738 0 0 0352 18 12 375 1125 37500 1501.35956126121 -0.05982645988821 0 0 0353 18 13 625 1125 37500 1578.8873016958 -0.06291579995905 0 0 0354 18 14 875 1125 37500 1656.4150421304 -0.06600514002988 0 0 0355 18 15 1125 1125 37500 1733.94278256499 -0.06909448010072 0 0 0356 18 16 1375 1125 37500 1811.47052299958 -0.07218382017155 0 0 0357 18 17 1625 1125 37500 1888.99826343418 -0.07527316024238 0 0 0358 18 18 1875 1125 37500 1966.52600386877 -0.07836250031322 0 0 0359 18 19 2125 1125 37500 2044.05374430336 -0.08145184038405 0 0 0360 18 20 2375 1125 37500 2121.58148473795 -0.08454118045489 0 0 0361 19 1 -2375 1275 37500 791.159471814356 -0.03152627233807 0 0 0362 19 2 -2125 1275 37500 868.687212248949 -0.0346156124089 0 0 0363 19 3 -1875 1275 37500 946.214952683542 -0.03770495247974 0 0 0364 19 4 -1625 1275 37500 1023.74269311813 -0.04079429255057 0 0 0365 19 5 -1375 1275 37500 1101.27043355273 -0.0438836326214 0 0 0366 19 6 -1125 1275 37500 1178.79817398732 -0.04697297269224 0 0 0367 19 7 -875 1275 37500 1256.32591442191 -0.05006231276307 0 0 0368 19 8 -625 1275 37500 1333.85365485651 -0.05315165283391 0 0 0369 19 9 -375 1275 37500 1411.3813952911 -0.05624099290474 0 0 0370 19 10 -125 1275 37500 1488.90913572569 -0.05933033297557 0 0 0371 19 11 125 1275 37500 1566.43687616029 -0.06241967304641 0 0 0372 19 12 375 1275 37500 1643.96461659488 -0.06550901311724 0 0 0373 19 13 625 1275 37500 1721.49235702947 -0.06859835318808 0 0 0374 19 14 875 1275 37500 1799.02009746406 -0.07168769325891 0 0 0375 19 15 1125 1275 37500 1876.54783789866 -0.07477703332974 0 0 0376 19 16 1375 1275 37500 1954.07557833325 -0.07786637340058 0 0 0377 19 17 1625 1275 37500 2031.60331876784 -0.08095571347141 0 0 0378 19 18 1875 1275 37500 2109.13105920244 -0.08404505354225 0 0 0379 19 19 2125 1275 37500 2186.65879963703 -0.08713439361308 0 0 0380 19 20 2375 1275 37500 2264.18654007162 -0.09022373368391 0 0 0381 20 1 -2375 1425 37500 933.764527148023 -0.0372088255671 0 0 0382 20 2 -2125 1425 37500 1011.29226758262 -0.04029816563793 0 0 0383 20 3 -1875 1425 37500 1088.82000801721 -0.04338750570876 0 0 0384 20 4 -1625 1425 37500 1166.3477484518 -0.0464768457796 0 0 0385 20 5 -1375 1425 37500 1243.87548888639 -0.04956618585043 0 0 0386 20 6 -1125 1425 37500 1321.40322932099 -0.05265552592127 0 0 0387 20 7 -875 1425 37500 1398.93096975558 -0.0557448659921 0 0 0388 20 8 -625 1425 37500 1476.45871019017 -0.05883420606293 0 0 0389 20 9 -375 1425 37500 1553.98645062477 -0.06192354613377 0 0 0390 20 10 -125 1425 37500 1631.51419105936 -0.0650128862046 0 0 0391 20 11 125 1425 37500 1709.04193149395 -0.06810222627544 0 0 0392 20 12 375 1425 37500 1786.56967192855 -0.07119156634627 0 0 0393 20 13 625 1425 37500 1864.09741236314 -0.0742809064171 0 0 0394 20 14 875 1425 37500 1941.62515279773 -0.07737024648794 0 0 0395 20 15 1125 1425 37500 2019.15289323232 -0.08045958655877 0 0 0396 20 16 1375 1425 37500 2096.68063366692 -0.08354892662961 0 0 0397 20 17 1625 1425 37500 2174.20837410151 -0.08663826670044 0 0 0398 20 18 1875 1425 37500 2251.7361145361 -0.08972760677127 0 0 0399 20 19 2125 1425 37500 2329.2638549707 -0.09281694684211 0 0 0400 20 20 2375 1425 37500 2406.79159540529 -0.09590628691294 0 0 0

TOTAL 15000000 150001.594803084 149999185.115 -150002259.153

D. G. Bhagwat]

-5000 -4000 -3000 -2000 -1000 0 1000 2000 3000 4000 5000

-5000

-4000

-3000

-2000

-1000

0

1000

2000

3000

4000

5000



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-32.52096524.218141515

biaxial

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1.00E+30-32.52096524.218141515

UNI

Page 24

-233.9316242.604476613

B

Page 25

1.00E+30-32.52096524.218141515

B1

Page 26

1.00E+30-233.9316242.604476613

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