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One Way Slab & Footing

1. The document describes the design of an isolated square footing with dimensions of 1.75m x 1.75m x 0.4m. 2. Key design parameters include a factored axial load of 470.8kN and an allowable soil bearing capacity of 208.8kN/m^2. 3. Reinforcement requirements are calculated based on bending moment and shear force checks. The design calls for 10mm diameter bars at 125mm c/c spacing in the Y-direction and 10mm bars at 115mm c/c spacing in the X-direction.

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0% found this document useful (0 votes)
268 views6 pages

One Way Slab & Footing

1. The document describes the design of an isolated square footing with dimensions of 1.75m x 1.75m x 0.4m. 2. Key design parameters include a factored axial load of 470.8kN and an allowable soil bearing capacity of 208.8kN/m^2. 3. Reinforcement requirements are calculated based on bending moment and shear force checks. The design calls for 10mm diameter bars at 125mm c/c spacing in the Y-direction and 10mm bars at 115mm c/c spacing in the X-direction.

Uploaded by

siva
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Job No

Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

1.0 Design Of Isolated Footing


1.1 General details
Type of foundation
Foundation Level below NGL

Hs

Square
2

gs

18

Allowable Net SBC

180

kN/m
kN/m

Overburden pressure

kN/m

Density of soil

m
3

Height of pedestal from T.O.F

= 2 - 0.4

1.6

Allowable SBC (for DL+LL case)

= 180 + 1.6 x 18

208.80

kN/m

Allowable SBC (for lateral load case) = 180 x 1.25+28.8

253.80

kN/m

Size of Column ( a x b)

0.23

0.3 m

Size of pedestal

0.23

0.3 m

Axial load on column (p) un factored

428

kN

Assuming increasing % of load

10

Not Consider
Not Consider

Soil Self Weigth

= Fdn Area x ht x18

0.00

%
kN

Foundation self weigth

= Fdn Area xThkx25

0.00

kN

Total Axial load on Foundation (P)

470.80

kN

Foundation size (in m) ( L x B x (D1-D2))

p 428

FGL

1.75

1.75

p 0

kN

0.4

0.15

kN

d
0.343

0.000

P
471
0.40

P
0
0

0.15

a
X
b

B =

B =

1.75 m

0.15

0.00 m

2m

Y
L=

Y
1.75

m
Square Footing

L=

0.00 m
Rectangular

Job No
Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

1.2 Size of Footing


= 470.8 / 180

Area of Footing (AxB)

2.62

Required Size of square footing (L x B)

1.62

m
1.62 m

Provided Size of square footing (L x B)

1.75

1.75 m

LxB

3.063

0.767

0.77 x b

= 0.77 x B x B

2.62

= BxB

3.41

0.00

m
m

0.00

OK

For Rectangular Footing


= 0.3 / 0.23

a/b Ratio of column

2
2

Required Size of rectangular footing (L x B)

0.00

0.00 m

Provided Size of rectangular footing (L x B)

0.00

0.00 m

LxB

SBC Check
= 470.8 / 3.06

Max base Pressure

SBC Check

153.73

kN/m

= 208.8 >153.73

OK

1.3 Net Soil Pressure At Ultimate Load


=

1.5

230.60

Code used For Design

IS456:2000

Compressive Strength of concrete fck

M20

Factored Consider
Net upward pressure (qu)

= 470.8 x 1.5 / 1.75 x 1.75

Ref Table-18
kN/m

1.4 Design Data

N/mm

20

Yield Strength of steel, Fy

Fe415

Clear cover to the reinforcement, C

50

Diameter of Reinforcement, (x-direction)

10

415
N/mm
mm
Cl.26.4.2.2
mm

Diameter of Reinforcement, (y-direction)

10

mm

1.5 Check For One Way Shear


For max. Shear(Vu1), take section along the breadth in the YY-direction at a distance ' d '
from the column space
Max Shear is
Length of moment section
Breath of section

(1750 - 0.23 )/ 2

Vu1

Area x force

760

mm

1750

mm

Job No
Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

Assume Percentage of steel

Pt

0.15

Design Strength of concrete (table19:IS456:2000)

tc

0.28

N/mm

Design Strength of concrete

tc

VC1/ bxd

Vc1

N/mm
0.28 x1.75 x d

Vu1

1750 x (760 - d ) x 0.231

Here, Vu1<VC1
1750 x (760 - d ) x 0.231 < 0.28 x1.75 x d
d

343.23

mm

398.23

mm

1.75 m

327.43

B =

d
a

343.23

Critical sec for one


way shear

Critical sec for one way shear

Y
L=

1.75

For Shear(Vu1), take section along the length in the XX-direction at a distance ' d '
from the column space
Max Shear is

Vu1

Area x force

725

mm

Length of section

1750

mm

Assume Percentage of steel

Pt

0.15

Design Strength of concrete (table19:IS456:2000)

tc

0.28

N/mm

Design Strength of concrete

tc

VC1/ bxd

Vc1

N/mm
0.28 x1.75 x d

Vu1

1750 x (725 - d ) x 0.231

Breath of moment section

(1750 - 0.3 )/ 2

Here, Vu1<VC1
1750 x (725 - d ) x 0.231 < 0.28 x1.75 x d
d

327.43

mm

382.43

mm

Job No
Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

Final Depth
The effective depth from oneway shear
Req overall depth of fdn

= 343.23 +50 + 5

The overall depth provided


The provided eff depth

= 400 -10 - 5

343.23

mm

398.23

mm

400

mm

OK

345

mm

OK

2.66

604.51

kN

1.6 Check For Two Way Shear


Taking section 'd/2' around column, we get
= 2 x 0.23 + 2 x 0.3 + 4 x 0.4

Critical perimeter
Critical shear (V)

= 230.6 { 1.75 x 1.75 - (0.23 +0.4 ) (0.3 +0.4 )

Critical shear

Design shear stress

tp

tp

tc

tc

= 604.51 / 2.66
Max shear strength ( clause 31.6.3.1, IS456:2000)

Here, tp < tc

V/( 2a+2b+4d) * d
2

0.23

N/mm

0.25 SQRT fck


2

1.12

N/mm

= 0.23 < 1.12

N/mm OK

1.7 Calculate bending moment


1. Bending moment at X-X
= 230.6 x 1.75 x 0.725^2 x 0.5

Mx

106.06

kNm

My

116.54

kNm

Mu / Bd

= 116.54 x 10^6 / 1750 x 345 x 345

0.56

2. Bending moment at Y-Y


= 230.6 x 1.75 x 0.76^2 x 0.5
1.8 Calculate reinforcement
1. Longitudinal reinforcement (For A s1)
R
% of steel

2
2

N/mm

Pt req

= { fck x 100 [1-SQRT(1-4 x R) / (0.87 x fck)] } / 2 x fy

Pt req

= { 20 x 100 [1-SQRT(1-4 x 0.56) / (0.87 x20)] } / 2 x 415


Pt req

0.160

Job No
Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

Minimum reinforcement
Ast min
Ast min

0.12 % BD
2

840

0.14

mm
%

Pt

0.160

Ast req

Nos

13.00

mm

Sp

126.00

mm

Ast pro

1021.02

Here, Ast req < Ast pro

= 0.12 x 1750 x 400 / 100


Pt (min)

Finally the max reinforcement % is


Ast (req)
=0.16 x 1750 x 345 / 100

967.87886 mm2

Use 10 mm dia bars


No.of.bras

= Ast req / Area of single bar

No.of.bras

=967.88 x 4 / 3.14 x 100

Spacing =(1750 - ( 2 x 50 ) - 10 ) x 4 / 3.14 x100

mm
1021.02 > 967.88

OK

2. Shorter reinforcement (For A s1)


R
= 106.06 x 10^6 / 0 x 345 x 345

R
% of steel

Mu / Bd

0.51

2
2

N/mm

Pt req

= { fck x 100 [1-SQRT(1-4 x R) / (0.87 x fck)] } / 2 x fy

Pt req

= { 20 x 100 [1-SQRT(1-4 x 0.51) / (0.87 x20)] } / 2 x 415


Pt req

0.145

Minimum reinforcement
Ast min
Ast min

0.12 % BD
2

840

Pt (min)

0.14

mm
%

Pt

0.150

Ast req

905.63

mm

Nos

13.00

mm

Sp

126.15

mm

Ast pro

1021.02

Here, Ast req < Ast pro

= 0.12 x 1750 x 400 / 100

Finally the Max reinforcement % is


Ast (req)
=0.15 x 1750 x 345 / 100

Use 10 mm dia bars


No.of.bras

= Ast req / Area of single bar

No.of.bras

=905.63 x 4 / 3.14 x 100

Spacing =(1750 - ( 2 x 50 ) - 10 ) x 4 / 3.14 x100

mm
1021.02 > 905.63

OK

Job No
Date
Design By
SRV

PROJECT

EGP-01
17.08.14
Chk'd By
UDHYA

Rev
P1
App. By

1.9 Result
Footing Size

Dir

Dia

1.75 x 1.75 x (0.40.15)

X-Dir

10

126.00

115.00

Y-Dir

10

126.15

125.00

Sp req C/C Sp req C/C

One Way

Two Way

OK

OK

2.0 Diagram

0.343

0.343 m

10 mm@ 115 mm c/c

10 mm@ 125 mm c/c

0.4

0.15
1.75

50 mm (min) Cover

Section A-A
10 mm@ 115 mm c/c

A
1.75

X Dir

10 mm@ 125 mm c/c

Y Dir
L

1.75
Plan

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