two way slab design excel sheet

Sheet1

Design of Slab as per IS:456-2000: Input Data:

1

Material : Concrete Grade M 25 Reinforcement Steel Grade

Fe 500

Dimensions: Short Span : Lx: Long Span : Ly:

3.2 5.8

m m

Effective Cover:

25

mm

Boundary Condition:

1

Load : Floor Finish Load wf: Live Load wL: Load Factor for BM: Load Factor for SF: Calculations: Aspect ratio=Ly/Lx= Slab designed as:

3

(Cover should comply clause 26.4 of IS:456) * For Two way slab,refer the sketch on the right side.Dark line shows the continuity. * For one way continuous slab, 5 for Intermediate Panel,7 for end Panel, * For one way discontinuous slab, 9. * For cantilever slab, 10.

1

kN/m2

4 1.5 1.5

kN/m2

5

7

9

1.8125 Two Way Slab

Bending Moment Coefficients: ax support = 0.0613 For short span support moment. ax span = 0.0460 For short span span moment. ay support =

0.032 For Long span support moment.

ay span =

0.024 For Long span span moment.

Depth assumed D = Selfweight wself =25xD/1000=

150 mm 2 3.75 kN/m

OK ( Density of concrete assumed 25 kN/m 3)

2 Load intensity = w = wself+wf+wL= 8.75 kN/m Effective depth d= D - Eff. Cover= 125 mm Factored Bending Moments=Factor x w x Coefficient x Lx2

Mu/bd2

pt req

Mux support= Mux span=

8.232 kN m 6.182 kN m

0.527 0.396

% 0.124 0.093

Muy support= Muy span=

4.301 kN m 3.226 kN m

0.275 0.206

0.064 0.048

Page 1

Ast req Explanation: mm2/ m 2 6 2 155.33 Mu/bd =Mux10 /(1000xd ) 115.91 pt req is from charts of SP-16. 80.16 Ast= ptx1000xd/100 59.93

Sheet1

2 180 mm per meter

Minimum Ast req=0.12xD/1000= Reinforcement Provided: Short Span Support: Short Span Span: Long Span Support: Long Span Span:

12 12 12 10

Dia at Dia at Dia at Dia at

150 200 200 200

c/c c/c c/c c/c

Check for Deflection: Basic L/d = 26 (Clause 23.2.1 of IS 456-2000) Modification factor= 2 ( Figure 4 of IS 456-2000) d req as per deflection control=Lx/(Basic L/d x Modification factor )= d required < d provided so, OK Check for Shear: Shear Force Vu= Factor x w x Lx/2= 21 kN N/mm2 Nominal Shear Stress=Vu/bd= 0.168 %reinforcement= 0.452 % Beta= 6.419 N/mm2 tc= 0.469 As per Clause 40.2.1.1 IS:456:2000 k= 1.3 N/mm2 kxtc= 0.610 so, OK

Page 2

Ast= Ast= Ast= Ast=

61.54

753.6 565.2 565.2 392.5

mm

OK OK OK OK

Sheet1

Page 3

Sheet1

2

4

6

8

Explanation:

ux106/(1000xd2) m charts of SP-16.

Page 4

Sheet1

Page 5

Sheet1

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DALAL CONSULTANTS ENGINEERS LIMITED

12/29/2013

For Cantilever Slab,Parapet Wall Details: Wall at the end of Wall Height: Cantilever slab Wall Thk: TWO WAY slab Fck:Lx Lz SHORT

m

LONG

m

3.20 5.8

25 Cover 25 WL WF Boundary treq tprov Live

Finish

Condition

initial

Kn/m Kn/m

4

1

1 121

1

2

3

4

5

6

7

8

Boundary Conditions:

REINFORCEMENT SHORT SPAN final SPAN Required Provided 150 86.5 12 628 12 200 LONG SPAN SPAN Required Provided 10 436 10 200 treq

SUPPORT Required Provided 12 628 12 150 SUPPORT Required Provided 12 628 12 200

9

Two Way Slab: One Way Slab:

Cantilever Slab:

1 to 9 as per code 5 for Intermediate panel 7 for End Panel 9 for Simply Supported 10

Page 7

0.9 0.12

Sheet3

TWO WAY SLAB: Lx(Short Span) Lz(Long Span) Aspect ratio slab th(ini) slab th(pro) Boundary condition

Mu SUPP(short) Mu SPAN (short) Mu SUPP(long) Mu SPAN(long) Thickness Req

3200 5800 1.81 127.56 150 1 8.232 6.2 4.3008 3.2256 86.538 26

LL

4 1 3.75 8.75 13.125 25 180 180 180 180

Finishing

dl w wu Fck Ast req Ast req Ast req Ast req

fs l

132.9936306 2

ax support =

0.0613

ax span =

0.05

ay support =

0.032

ay span =

0.024

SLAB: REINFORCEMENT DETAILS CONCRETE GRADE fck= STEEL GRADE fy = B

D 150 150 150 150

1000 1000 1000 1000 REQUIRD COMBINE

Fy Ast pro Ast pro Ast pro Ast pro

133 pt

Mu 8.232 6.1824 4.3008 3.2256

@

5

0.45216

Mu/Bd2 0.526848 0.395674 0.275251 0.206438

281 C/C. 360 C/C

10

fs

0.2 2 2 2 1.7 1.4

0.3 2 2 1.85 1.5 1.25 #N/A

0.4 2 2 1.7 1.35 1.15 #N/A

5 0.0833 0.0625

7 0.1 0.083

9 0 0.125

10 0.5 0

2 0.065

3 0.079

4 0.08575

5 0.066

120 145 190 240 290 lambda

500 753.6 565.2 565.2 392.5

25 500 d 125 125 125 125

8 TOR 8

1.813

#N/A

pt 0.124 0.093 0.064 0.048

Ast 155.32914 115.90562 80.162894 59.925613

MAXIMUM SPACING:

0.5 2 1.9 1.55 1.25 1.075 #N/A

0.6 2 1.8 1.4 1.15 1 #N/A

6 0

7 0.0925

#N/A

Support Span 1 0.06125

Page 8

Sheet3

0.046 0.032 0.024

Case no.

0.049 0.037 0.028

Types of Panels

0.0605 0.037 0.028

0.0645 0.047 0.035

0.04975 0 0.035

0.082 0.045 0.035

Moments considered

0.07 0 0.043

Short Span Coefficients (Values of ly/lx) 1

1

2

3

4

5

6

Interior Panels Negative moment at conti. edge. Positive moment at Mid-span One Short Edge Disconti nuous. Negative moment at conti. edge. Positive moment at Mid-span One Long Edge Disconti nuous. Negative moment at conti. edge. Positive moment at Mid-span Two Adjacen t Edges Disconti nuous.

Negative moment at conti. edge. Positive moment at Mid-span

Two Short Edges Disconti nuous. Negative moment at conti. edge. Positive moment at Mid-span Two Long Edges Disconti nuous. Negative moment at conti. edge.

0.032

1.1

1.2

1.3

0.037

0.043

0.047

0.024

0.028

0.032

0.036

0.037

0.043

0.048

0.051

0.028

0.032

0.036

0.039

0.037

0.044

0.052

0.057

0.028

0.033

0.039

0.044

0.047

0.053

0.06

0.065

0.035

0.04

0.045

0.049

0.045

0.049

0.052

0.056

0.035

0.037

0.04

0.043

0

0

0

0

Page 9

Sheet3

Positive moment at Mid-span

7

8

9

One Long Edge continu ous. Negative moment at conti. edge. Positive moment at Mid-span One Short Edge continu ous. Negative moment at conti. edge. Positive moment at Mid-span Four Edges Disconti nuous. Negative moment at conti. edge. Positive moment at Mid-span

0.035

0.043

0.051

0.057

0.057

0.064

0.071

0.076

0.043

0.048

0.053

0.057

0

0

0

0

0.043

0.051

0.059

0.065

0

0

0

0

0.056

0.064

0.072

0.079

Page 10

Sheet3

1

2

3

4

5

6

7

8

9

Ast min 180 180 180 180 375

0.7 1.9 1.68 1.35 1.1 0.95 #N/A

0.8 1.8 1.55 1.3 1.05 0.9 #N/A

1 1.6 1.4 1.2 1 0.85 #N/A 1.75 2 0.25

8 0

9 0

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Sheet3

0.08925 0.057 0.043

0.10175 0 0.056

Coefficient s for all values of

Short Span Coefficients (Values of ly/lx) 1.4

1.5

1.75

2

ly/lx

0.051

0.053

0.06

0.065

0.032

0.039

0.041

0.045

0.049

0.024

0.055

0.057

0.064

0.068

0.037

0.041

0.044

0.048

0.052

0.028

0.063

0.067

0.077

0.085

0.037

0.047

0.051

0.059

0.065

0.028

0.071

0.075

0.084

0.091

0.047

0.053

0.056

0.063

0.069

0.035

0.059

0.06

0.065

0.069

0

0.044

0.045

0.049

0.052

0.035

0

0

0

0

0.045

Page 12

Sheet3

0.063

0.068

0.08

0.088

0.035

0.08

0.084

0.091

0.097

0

0.06

0.064

0.069

0.073

0.043

0

0

0

0

0.057

0.071

0.076

0.087

0.096

0.043

0

0

0

0

0

0.085

0.089

0.1

0.107

0.056

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