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(1)

MAX M ZZ CASE NODES:- 2,5,6,8

INPUT DATA Y

( FACTORED LOADS) Node-LC

= 814.426 kN = 21.816 kN-m = 2.673 kN-m = 25 kN/m3 = 21 kN/m3 X X = 20 Mpa = 415 Mpa = 1.8 m = 1.8 m Y = 0.3 m = 0.3 m = 3 m

Ht. of Pedestal above G.L. = 0 m Grade Level

Net S.B.C = 250 kN/m2

= 250 kN/m2

= 1.5

= 50 mm

Dia of bar used = 12 mm 1 2

Assumed depth of foundation = 0.45 m

= 543.0 KN 1 2

Self weight of footing = 36.5 KN Dead weight of soil over footing = 120.5 KN

Total vertical load = 699.9 KN

= 14.5 kN-m

= 1.8 kN-m

Area of footing required = 2.17 m2

Area of footing provided = 3.24 m2 O.K. SIZE OF COLUMN

Length @ x-x ; bx Length @ y-y ; by Unit wt. of conc.gc Unit wt. of soil gs

FOOTING FOR COLUMN (450 x 230)(F1)

Vertical Load Moment @x-x Mx Moment @y-y My

Moment @y-y My Ch. Strength of conc. Yield Strength of steel SIZE OF FOOTING Length @ x-x ; Lx Length @ y-y ; Ly Depth of Founding lvl(H) Gross S.B.C. Load factor Clear cover to footing

DESIGN CALCULATION (UNFACTORED LOADS) Direct load from footing

Moment @x-x Mx bx by Mx-x My-y bx by Mx-x My-y bx by Lx Mx-x My-y by bx Ly D My-y Mx-x

(2)

Zx-x = 0.97 m2

Zy-y = 0.97 m2

P/ A = 216.02 KN/m2

= 14.97 KN/m2

= 1.84 KN/m2

Gross maximum & minimun pressure under the footing are

:-1 2

Pmax = 232.83 KN/m2 O.K. s s'

Pmin. = 199.21 KN/m2 NO TENSION Pmin. = qs1 qs2

Pgross at face of pedestal = 218.82 KN/m2 199.21 213.22 Pmax = 232.83

Paverage at face of pedestal = 225.83 KN/m2 218.82

1 2

Pnet at face of pedestal = 162.83 KN/m2 PRESSURE DIAGRAM ON SOIL

Structural design

Max moment at face of pedestal = 68.69 kN.m

M = 0.138 x fck x b x d 2

For 415 grade of steel.

Effective depth required = 158 mm

Hence O.K

Effective depth Provided = 394 mm

Mu / bd2 = 0.44

% of steel required = 0.125 From SP-16

Ast required = 561 mm2

Dia of barto be used = 12

Ast required Min required 540

Spacing of reinforcement = 201.53 mm

Provide 12 mm dia bars@ 180 mm C / C. in both the directions.

% Ast provided = 0.140

Check for One way shear:

Critical section is "d" from the face of the column.

Pgross at 'd' from face of pedestal = 226.18 KN/m2 P average at 'd' from face of pedestal = 229.51 KN/m2 Pnet at 'd' from face of pedestal = 166.51 KN/m2 Max shear at 'd' from face of pedestal = 88.91 kN

Tv = 0.23 Mpa

Mx-x / Zx-x My-y / Zy-y

(3)

% of steel provided = 0.14

Tc = 0.28 Mpa > Tv (Table - 19 , IS - 456-2000 )

Hence SAFE FOR ONE WAY SHEAR

Check for two way shear:

Critical section is considered at a distance d/2 from thr periphery of the face of the column or pedeatal. Pgross at 'd/2' from face of pedestal = 222.50 KN/m2

P average at 'd/2' from face of pedestal = 227.67 KN/m2 Pnet at 'd/2' from face of pedestal = 164.67 KN/m2

B x L = 3.24 m2 a + d

a + d = 0.694 m

b + d = 0.694 m

b + d b B

The max force V = p( BxL - ( a+d)(b+d)) = 681.31 kN

bo = 2((a+d) + (b+d)) = 2776 mm a

Shear stress Tv = V / bo.d = 0.62 Mpa

L

Calculation of allowable shear stress:(CL:31.6.3.1 of IS-456)

Tc = ks x Tc1

ks =0.5 + beta = 1 should not greater 1

beta = 1.000 shortside / long side of column or pedestal Tc1=0.25sqrt(fck) = 1.118033989

(4)

MAX M ZZ CASE NODES:- 3,4,9,11,14,17,20

INPUT DATA Y

( FACTORED LOADS) Node-LC

= 479.993 kN = 22.142 kN-m = 3.974 kN-m = 25 kN/m3 = 21 kN/m3 X X = 20 Mpa = 415 Mpa = 1.4 m = 1.4 m Y = 0.3 m = 0.3 m = 3 m

Ht. of Pedestal above G.L. = 0 m Grade Level

Net S.B.C = 250 kN/m2

= 250 kN/m2

= 1.5

= 50 mm

Dia of bar used = 12 mm 1 2

Assumed depth of foundation = 0.3 m

= 320.0 KN 1 2

Self weight of footing = 14.7 KN Dead weight of soil over footing = 68.6 KN

Total vertical load = 403.3 KN

= 14.8 kN-m

= 2.6 kN-m

Area of footing required = 1.28 m2

Area of footing provided = 1.96 m2 O.K. Depth of Founding lvl(H)

Gross S.B.C. Load factor Clear cover to footing

DESIGN CALCULATION (UNFACTORED LOADS) Direct load from footing

Moment @x-x Mx Length @ y-y ; Ly SIZE OF COLUMN Length @ x-x ; bx Length @ y-y ; by SIZE OF FOOTING Length @ x-x ; Lx Unit wt. of conc.gc Unit wt. of soil gs Moment @y-y My

FOOTING FOR COLUMN (450 x 230)(F1)

Vertical Load Moment @x-x Mx Moment @y-y My

Ch. Strength of conc. Yield Strength of steel

bx by Mx-x My-y bx by Mx-x My-y bx by Lx Mx-x My-y by bx Ly D My-y Mx-x

(5)

Zx-x = 0.46 m2

Zy-y = 0.46 m2

P/ A = 205.77 KN/m2

= 32.28 KN/m2

= 5.80 KN/m2

Gross maximum & minimun pressure under the footing are

:-1 2

Pmax = 243.85 KN/m2 O.K. s s'

Pmin. = 167.69 KN/m2 NO TENSION Pmin. = qs1 qs2

Pgross at face of pedestal = 213.93 KN/m2 167.69 197.61 Pmax = 243.85

Paverage at face of pedestal = 228.89 KN/m2 213.93

1 2

Pnet at face of pedestal = 165.89 KN/m2 PRESSURE DIAGRAM ON SOIL

Structural design

Max moment at face of pedestal = 37.64 kN.m

M = 0.138 x fck x b x d 2

For 415 grade of steel.

Effective depth required = 117 mm

Hence O.K

Effective depth Provided = 244 mm

Mu / bd2 = 0.63

% of steel required = 0.180 From SP-16

Ast required = 539 mm2

Dia of barto be used = 12

Ast required Min required 360

Spacing of reinforcement = 209.97 mm

Provide 12 mm dia bars@ 180 mm C / C. in both the directions.

% Ast provided = 0.209

Check for One way shear:

Critical section is "d" from the face of the column.

Pgross at 'd' from face of pedestal = 227.20 KN/m2 P average at 'd' from face of pedestal = 235.53 KN/m2 Pnet at 'd' from face of pedestal = 172.53 KN/m2 Max shear at 'd' from face of pedestal = 79.19 kN

Tv = 0.32 Mpa

My-y / Zy-y Mx-x / Zx-x

(6)

% of steel provided = 0.21

Tc = 0.33 Mpa > Tv (Table - 19 , IS - 456-2000 )

Hence SAFE FOR ONE WAY SHEAR

Check for two way shear:

Critical section is considered at a distance d/2 from thr periphery of the face of the column or pedeatal. Pgross at 'd/2' from face of pedestal = 220.57 KN/m2

P average at 'd/2' from face of pedestal = 232.21 KN/m2 Pnet at 'd/2' from face of pedestal = 169.21 KN/m2

B x L = 1.96 m2 a + d

a + d = 0.544 m

b + d = 0.544 m

b + d b B

The max force V = p( BxL - ( a+d)(b+d)) = 422.36 kN

bo = 2((a+d) + (b+d)) = 2176 mm a

Shear stress Tv = V / bo.d = 0.80 Mpa

L

Calculation of allowable shear stress:(CL:31.6.3.1 of IS-456)

Tc = ks x Tc1

ks =0.5 + beta = 1 should not greater 1

beta = 1.000 shortside / long side of column or pedestal Tc1=0.25sqrt(fck) = 1.118033989

(7)

MAX M ZZ CASE

NODES:-INPUT DATA Y

( FACTORED LOADS) Node-LC

= 336.502 kN = 19.743 kN-m = 2.927 kN-m = 25 kN/m3 = 21 kN/m3 X X = 20 Mpa = 415 Mpa = 1.2 m = 1.2 m Y = 0.3 m = 0.3 m = 3 m

Ht. of Pedestal above G.L. = 0 m Grade Level

Net S.B.C = 250 kN/m2

= 250 kN/m2

= 1.5

= 50 mm

Dia of bar used = 12 mm 1 2

Assumed depth of foundation = 0.3 m

= 224.3 KN 1 2

Self weight of footing = 10.8 KN Dead weight of soil over footing = 45.9 KN

Total vertical load = 281.1 KN

= 13.2 kN-m

= 2.0 kN-m

Area of footing required = 0.90 m2

Area of footing provided = 1.44 m2 O.K. SIZE OF FOOTING Length @ x-x ; Lx Length @ x-x ; bx Length @ y-y ; by 1,7,10,12,13,15,16,18,19, 21,22,23,24 Depth of Founding lvl(H) Gross S.B.C. Load factor Clear cover to footing Length @ y-y ; Ly SIZE OF COLUMN

Ch. Strength of conc. Yield Strength of steel

DESIGN CALCULATION (UNFACTORED LOADS) Direct load from footing

Moment @x-x Mx Moment @y-y My Unit wt. of conc.gc Unit wt. of soil gs

FOOTING FOR COLUMN (450 x 230)(F1)

Vertical Load Moment @x-x Mx Moment @y-y My bx by Mx-x My-y bx by Mx-x My-y bx by Lx Mx-x My-y by bx Ly D My-y Mx-x

(8)

Zx-x = 0.29 m2

Zy-y = 0.29 m2

P/ A = 195.19 KN/m2

= 45.71 KN/m2

= 6.78 KN/m2

Gross maximum & minimun pressure under the footing are

:-1 2

Pmax = 247.68 KN/m2 O.K. s s'

Pmin. = 142.70 KN/m2 NO TENSION Pmin. = qs1 qs2

Pgross at face of pedestal = 208.31 KN/m2 142.70 182.07 Pmax = 247.68

Paverage at face of pedestal = 228.00 KN/m2 208.31

1 2

Pnet at face of pedestal = 165.00 KN/m2 PRESSURE DIAGRAM ON SOIL

Structural design

Max moment at face of pedestal = 25.06 kN.m

M = 0.138 x fck x b x d 2

For 415 grade of steel.

Effective depth required = 95 mm

Hence O.K

Effective depth Provided = 244 mm

Mu / bd2 = 0.42

% of steel required = 0.119 From SP-16

Ast required = 356 mm2

Dia of barto be used = 12

Ast required Min required 360

Spacing of reinforcement = 318.08 mm

Provide 12 mm dia bars@ 180 mm C / C. in both the directions.

% Ast provided = 0.209

Check for One way shear:

Critical section is "d" from the face of the column.

Pgross at 'd' from face of pedestal = 229.66 KN/m2 P average at 'd' from face of pedestal = 238.67 KN/m2 Pnet at 'd' from face of pedestal = 175.67 KN/m2 Max shear at 'd' from face of pedestal = 54.28 kN

Tv = 0.22 Mpa

Mx-x / Zx-x My-y / Zy-y

(9)

% of steel provided = 0.21

Tc = 0.33 Mpa > Tv (Table - 19 , IS - 456-2000 )

Hence SAFE FOR ONE WAY SHEAR

Check for two way shear:

Critical section is considered at a distance d/2 from thr periphery of the face of the column or pedeatal. Pgross at 'd/2' from face of pedestal = 218.99 KN/m2

P average at 'd/2' from face of pedestal = 233.33 KN/m2 Pnet at 'd/2' from face of pedestal = 170.33 KN/m2

B x L = 1.44 m2 a + d

a + d = 0.544 m

b + d = 0.544 m

b + d b B

The max force V = p( BxL - ( a+d)(b+d)) = 292.31 kN

bo = 2((a+d) + (b+d)) = 2176 mm a

Shear stress Tv = V / bo.d = 0.55 Mpa

L

Calculation of allowable shear stress:(CL:31.6.3.1 of IS-456)

Tc = ks x Tc1

ks =0.5 + beta = 1 should not greater 1

beta = 1.000 shortside / long side of column or pedestal Tc1=0.25sqrt(fck) = 1.118033989

(10)

Node

Force-Y kN Moment-X kNm

Moment-Z kNm

24

191.938

-14.209

2.554

13

203.267

-3.659

-0.032

22

204.143

6.348

2.334

10

204.668

-3.866

-0.113

16

228.156

2.498

-1.693

1

260.593

4.319

-2.927

18

276.786

-15.252

-0.485

12

281.241

-15.659

-0.102

19

284.383

7.706

1.838

21

296.023

-10.603

0.443

15

300.97

-19.743

-0.321

23

329.165

5.586

1.808

7

336.502

-1.638

2.023

4

364.721

-3.908

-1.645

3

390.185

-22.142

-3.974

14

442.814

13.558

-0.078

11

443.681

11.623

-0.384

17

464.299

3.71

-1.488

9

478.081

-21.095

-0.223

20

479.993

-1.223

2.165

6

549.36

-21.816

0.426

2

644.235

15.046

-2.547

8

764.428

13.313

2.504

5

814.426

19.718

-2.673

References

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