two way slab design excel sheet

Sheet1

Design of Slab as per IS:456-2000:

Input Data:

Material :Concrete Grade M 25Reinforcement Steel Grade Fe 500

Dimensions:Short Span : Lx: 3.2 mLong Span : Ly: 5.8 m

Effective Cover: 25 mm (Cover should comply clause 26.4 of IS:456)

Boundary Condition: 1 * 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.

Load :

1

4Load Factor for BM: 1.5Load Factor for SF: 1.5Calculations:Aspect ratio=Ly/Lx= 1.8125Slab designed as: Two Way Slab

Bending Moment Coefficients:

0.0613 For short span support moment.

0.0460 For short span span moment.

0.032 For Long span support moment.

0.024 For Long span span moment.

Depth assumed D = 150 mm OK

3.75

8.75Effective depth d= D - Eff. Cover= 125 mm

Ast req

Explanation:%

Mux support= 8.232 kN m 0.527 0.124 155.33

Mux span= 6.182 kN m 0.396 0.093 115.91

Floor Finish Load wf: kN/m2

Live Load wL: kN/m2

ax support =

ax span =

ay support =

ay span =

Selfweight wself =25xD/1000= kN/m2 ( Density of concrete assumed 25 kN/m3)

Load intensity = w = wself+wf+wL= kN/m2

Factored Bending Moments=Factor x w x Coefficient x Lx2

Mu/bd2 pt req

mm2/ m

Mu/bd2=Mux106/(1000xd2)

pt req is from charts of SP-16.

99

1

33

55

77

Sheet1

Muy support= 4.301 kN m 0.275 0.064 80.16Muy span= 3.226 kN m 0.206 0.048 59.93

Minimum Ast req=0.12xD/1000= 180

Reinforcement Provided:Short Span Support: 12 Dia at 150 c/c Ast= 753.6OKShort Span Span: 12 Dia at 200 c/c Ast= 565.2OKLong Span Support: 12 Dia at 200 c/c Ast= 565.2OKLong Span Span: 10 Dia at 200 c/c Ast= 392.5OK

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 )= 61.54 mmd required < d provided so, OK

Check for Shear:Shear Force Vu= Factor x w x Lx/2= 21 kN

Nominal Shear Stress=Vu/bd= 0.168%reinforcement= 0.452 %Beta= 6.419

0.469k= 1.3

0.610 so, OK

Ast= ptx1000xd/100

mm2 per meter

N/mm2

tc= N/mm2

As per Clause 40.2.1.1 IS:456:2000

kxtc= N/mm2

Sheet1

Explanation:

=Mux106/(1000xd2)

is from charts of SP-16.

22

44

66

88

Sheet1

DALAL CONSULTANTS ENGINEERS LIMITED04/17/2023

For Cantilever Slab,Parapet Wall Details:Wall at the end of Wall Height: 0.9Cantilever slab Wall Thk: 0.115

TWO WAY slab

Fck:- 25 Cover 25 REINFORCEMENT Lx Lz Boundary SHORT SPAN

SHORT LONG Live Finish Condition initial final SPAN SUPPORTm m Kn/m Kn/m Required Provided RequiredProvided

3.20 5.8 4 1 1 121 150 86.54 12 628 12 200 12 628 12 150LONG SPANSPAN SUPPORTRequired Provided RequiredProvided10 436 10 200 12 628 12 200

Boundary Conditions: 1 to 9 as per code5 for Intermediate panel7 for End Panel9 for Simply Supported

Cantilever Slab: 10

WL WF treq tprov treq

Two Way Slab:One Way Slab:

1 2 33

4 5

5

66

7 8 99

Sheet3

TWO WAY SLAB:Lx(Short Span) 3200 LL 4Lz(Long Span) 5800 Finishing 1Aspect ratio 1.81 dl 3.75 1.813slab th(ini) 127.564 w 8.75

slab th(pro) 150 13.125Boundary condition 1 Fck 25 Fy 500Mu SUPP(short) 8.232 Ast req 180 Ast pro 753.6Mu SPAN (short) 6.2 Ast req 180 Ast pro 565.2Mu SUPP(long) 4.3008 Ast req 180 Ast pro 565.2Mu SPAN(long) 3.2256 Ast req 180 Ast pro 392.5Thickness Req 86.5385

26

fs 132.993630573248 133 pt 0.45216l 2

0.06125

0.05

0.032

0.024

SLAB: REINFORCEMENT DETAILSCONCRETE GRADE fck= 25STEEL GRADE fy = 500

B D d Mu pt Ast1000 150 125 8.232 0.526848 0.124 155.3291431000 150 125 6.1824 0.395674 0.093 115.9056181000 150 125 4.3008 0.275251 0.064 80.16289431000 150 125 3.2256 0.206438 0.048 59.9256126

REQUIRD 8 TOR @ 281 C/C. MAXIMUM SPACING:COMBINE 8 10 360 C/C

fs 0.2 0.3 0.4 0.5 0.6120 2 2 2 2 2145 2 2 2 1.9 1.8190 2 1.85 1.7 1.55 1.4240 1.7 1.5 1.35 1.25 1.15290 1.4 1.25 1.15 1.075 1

lambda #N/A #N/A #N/A #N/A #N/A

#N/A

5 7 9 10Support 0.08333 0.1 0 0.5Span 0.0625 0.083 0.125 0

wu

ax support =

ax span =

ay support =

ay span =

Mu/Bd2

55

Sheet3

1 2 3 4 5 6 70.06125 0.065 0.079 0.08575 0.066 0 0.0925

0.046 0.049 0.0605 0.0645 0.04975 0.082 0.070.032 0.037 0.037 0.047 0 0.045 00.024 0.028 0.028 0.035 0.035 0.035 0.043

Case no.Short Span Coefficients

(Values of ly/lx)1 1.1 1.2 1.3

1Negative moment at 0.032 0.037 0.043 0.047

conti. edge.Positive moment at 0.024 0.028 0.032 0.036

Mid-span

2

Negative moment at 0.037 0.043 0.048 0.051conti. edge.

Positive moment at 0.028 0.032 0.036 0.039Mid-span

3



4



5



Types of

Panels

Moments considered

Interior Panels

One Short Edge

Discontinuous.

One Long Edge

Discontinuous.

Two Adjacent Edges Discontinuous.

Two Short

Edges Discontinuous.

Sheet3

6

Negative moment at 0 0 0 0conti. edge.


7



8



9



Two Long

Edges Discontinuous.

One Long Edge

continuous.

One Short Edge

continuous.

Four Edges

Discontinuous.

Sheet3

Ast min180180180180

375

0.7 0.8 11.9 1.8 1.6

1.68 1.55 1.41.35 1.3 1.2

1.1 1.05 10.95 0.9 0.85#N/A #N/A #N/A

1.752

0.25

99

1 22

33

44

55

66

77

88

Sheet3

8 90 0

0.08925 0.101750.057 00.043 0.056

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

Coefficients for all values of

Sheet3

0 0 0 0 0.045

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

two way slab design excel sheet

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