grid slab

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Slab

No size of grid Spacing concrete steel weight of fl

X Y x y grade density Fe

(m) (m) m c/c m c/c KN/m3

N/mm2

KN/m2

1 12 16 2 2 20 24 415 0.6

2 5 5 1 1 20 24 415 0.6

3 9 12 1.5 2 20 24 415 0.6

4 16 20 1.5 2 20 24 415 0.6

Data required

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Dimension of slab & beam Load Calcul

live load No. of panel Adopt thickness of slab Depth of ribs width of ribs weight of s

X Y Df D Bw

KN/m2

nos. nos. mm mm mm KN/m2

1.5 5 7 100 600 200 2.4

4 4 4 100 250 83.33333333 2.4

4 5 5 100 450 300 2.4

1.5 9.666667 9 100 800 266.6666667 2.4

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ation

total load oweight of riTotal weig Total weig Total weig total live lototal dead load and liv

q

KN KN/m KN KN KN KN KN

460.8 2.4 201.6 175.2 115.2 288 1240.8 6.50

60 0.3 6 5.6 15 100 186.6 7.50

259.2 2.52 113.4 132.3 64.8 432 1001.7 9.30

768 4.48 645.12 762.1973 192 480 2847.317 8.90

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Load per m2

in x-direction Moments Moment at centre

q1 q2 Mx My Qx Qy

KN/m2

KN/m2

KN-m KN-m

5.00 1.60 180 102.4 10 25.6 90 51.2

3.80 3.80 11.875 11.875 1.583333 9.5 5.9375 5.9375

7.10 2.30 143.775 62.1 7.9875 27.6 71.8875 31.05

6.40 2.60 409.6 195 12.8 52 204.8 97.5

Approximate method

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Slab Points

no X (m) Y (m)

2 E 12 16

2 F 12 16

2 G 12 162 H 12 16

2 I 12 16

2 J 12 16

2 K 12 16

2 D 12 16

2 E 5 5

2 F 5 5

2 G 5 5

2 H 5 52 I 5 5

2 J 5 5

2 K 5 5

2 D 5 5

2 E 9 12

2 F 9 12

2 G 9 12

2 H 9 12

2 I 9 12

2 J 9 12

2 K 9 12

2 D 9 12

2 E 0 0

2 F 0 0

2 G 0 0

2 H 0 0

2 I 0 0

2 J 0 0

Grade of concrete (fck)

(N/mm2)

Young's modullus of

elasticity (E)(KN/m2)Poission's ratio () Load per m2 (KN/m2) Creep coefficient ()

Size of grid

Rigorous method

1 25491174.9420

2 20 25491174.94 0.15

6.500.15

7.5

3 20 25491174.94 0.15 9.3

4 20 25491174.94 0.15 0

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2 K 0

2 D 0

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Df D Bw Bf Bf Df/D Bw/Bf Bw/Bf Consistant Consistant

x (m) y (m) x (m) y (m) (m) (m) (m) (m) (m) C1 C2

6 8 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

6 12 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

6 16 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.1910 8 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

2 8 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

4 8 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

0 12 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

0 16 2 2 0.1 0.6 0.2 2 2 0.16667 0.1 0.1 0.185 0.191

2.5 2.5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

2.5 3.75 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

2.5 5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

0 2.5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.1910.833 2.5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

1.667 2.5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

0 3.75 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

0 5 1 1 0.1 0.25 0.083 1 1 0.4 0.08333 0.083333 0.185 0.191

4.5 6 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

4.5 9 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

4.5 12 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

0 6 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

1.5 6 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.1753 6 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

0 9 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

0 12 1.5 2 0.1 0.45 0.3 1.5 2 0.22222 0.2 0.15 0.192 0.175

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

Ordinates Spacing of ribs

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0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

0 0 1.5 1.5 0 0 0 1.5 1.5 #DIV/0! 0 0 0.185 0.191

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Torsional stiffness 2H

Dx Dy (Kt) C1 C2 Cx+Cy

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 13965.82525 13965.82525 13965.82525

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.699040.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.007992 0.0082512 101862.7351 105166.3913 0.262520576 16060.69904 16060.69904 16060.69904

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 420.9413957 420.9413957 841.8827914

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.16521010.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.000240885 0.000248698 6140.452298 6339.602102 0.262520576 484.0826051 484.0826051 968.1652101

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 25391.42687 25391.42687 29623.33135

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.831050.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0.0052488 0.004784063 89198.71936 60975.68706 0.188559671 29200.1409 29200.1409 34066.83105

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

second moment area

(I=c*bw*D^3)

Flexural rigiditysecond moment area

(I=c*bw*D^3)

Torsional rigidity

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0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0!

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Dx/X4

Dy/Y4 2H/(X

2x Y

2) 16q/

6 sin(*x/X) sin(*y/Y) cos(*x/X) cos(*y/Y)

4.912361838 1.604711782 0.378847256 3.141592654 0.108177 1.00000 1.00000 0.00000 0.00000

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 1.00000 0.70711 0.00000 (0.70711)

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 1.00000 0.00000 0.00000 (1.00000)4.912361838 1.604711782 0.435674345 3.141592654 0.108177 - 1.00000 1.00000 0.00000

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 0.50000 1.00000 0.86603 0.00000

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 0.86603 1.00000 0.50000 0.00000

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 - 0.70711 1.00000 (0.70711)

4.912361838 1.604711782 0.435674345 3.141592654 0.108177 - 0.00000 1.00000 (1.00000)

9.824723676 10.14336336 1.347012466 3.141592654 0.108177 1.00000 1.00000 0.00000 0.00000

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 1.00000 0.70711 0.00000 (0.70711)

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 1.00000 0.00000 0.00000 (1.00000)

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 - 1.00000 1.00000 0.000009.824723676 10.14336336 1.549064336 3.141592654 0.108177 0.50000 1.00000 0.86603 0.00000

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 0.86603 1.00000 0.50000 0.00000

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 - 0.70711 1.00000 (0.70711)

9.824723676 10.14336336 1.549064336 3.141592654 0.108177 - 0.00000 1.00000 (1.00000)

13.5952933 2.940571328 2.539723195 3.141592654 0.108177 1.00000 1.00000 0.00000 0.00000

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 1.00000 0.70711 0.00000 (0.70711)

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 1.00000 0.00000 0.00000 (1.00000)

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 - 1.00000 1.00000 0.00000

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 0.50000 1.00000 0.86603 0.0000013.5952933 2.940571328 2.920681674 3.141592654 0.108177 0.86603 1.00000 0.50000 0.00000

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 - 0.70711 1.00000 (0.70711)

13.5952933 2.940571328 2.920681674 3.141592654 0.108177 - 0.00000 1.00000 (1.00000)

#DIV/0! #DIV/0! #DIV/0! 3.141592654 0.108177 #DIV/0! #DIV/0! #DIV/0! #DIV/0!






Deflection at centre of span

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Deflection at centre of span (a) Long term deflection As per Check Mx My Mxy Mxy Qx

(m) Ec IS 456 PL KN-m KN-m KN-m KN-m KN

0.01569 0.04706 0.048 O.K. 109.52 63.60 - 0.00

0.01100 0.03301 0.048 O.K. 76.81 44.61 - 0.00

0.00000 0.00000 0.048 O.K. 0.00 0.00 - 0.00- - 0.048 O.K. - - - 9.90

0.00778 0.02334 0.048 O.K. 54.31 31.54 - 8.57

0.01347 0.04042 0.048 O.K. 94.07 54.63 - 4.95

- - 0.048 O.K. - - 5.00 7.00

- - 0.048 O.K. - - 7.00 0.00

0.00508 0.01523 0.02 O.K. 12.30 12.70 - 0.00

0.00355 0.01066 0.02 O.K. 8.62 8.90 - 0.00

0.00000 0.00000 0.02 O.K. 0.00 0.00 - 0.00

- - 0.02 O.K. - - - 2.750.00251 0.00754 0.02 O.K. 6.09 6.29 - 2.38

0.00435 0.01306 0.02 O.K. 10.55 10.90 - 1.38

- - 0.02 O.K. - - 1.00 1.95

- - 0.02 O.K. - - 1.00 0.00

0.00567 0.01701 0.036 O.K. 61.64 23.70 - 0.00

0.00393 0.01179 0.036 O.K. 42.73 16.43 - 0.00

0.00000 0.00000 0.036 O.K. 0.00 0.00 - 0.00

- - 0.036 O.K. - - - 7.89

0.00278 0.00834 0.036 O.K. 30.21 11.62 - 6.84

0.00482 0.01445 0.036 O.K. 52.33 20.12 - 3.95

- - 0.036 O.K. - - 6.00 5.58

- - 0.036 O.K. - - 9.00 0.00

#DIV/0! #DIV/0! 0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!






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Qy

KN

(0.00)

9.26

13.10

-

(0.00)

(0.00)

-

-

(0.00)

2.57

3.64

-

(0.00)

(0.00)

-

-

(0.00)

8.76

12.39

-

(0.00)

(0.00)

-

-

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

#DIV/0!

Comparision Of maximum moment in grid

Moments per me

Approximate method

Method

Mx

Rigorous analysis

90

109.52

Approximate method 5.9375

Rigorous analysis 12.30

Mx

Approximate method 71.8875

Rigorous analysis 61.64

Mx

Approximate method 0

Rigorous analysis #DIV/0!

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#DIV/0!

#DIV/0!

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Mw Mr Mu Muf

KN-m KN-m KN-m KN-m

tre width (KN-m)

63.60

12.70 12.70

51.2

328.56 731.52

Mw

My

Max.working moment

109.52 109.52 219.04

5.9375

12.70

12.70 19.05

My

71.89 71.89 107.83 161.75

23.70

31.05

My

#DIV/0! #DIV/0! #DIV/0! #DIV/0!

#DIV/0!

0

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Check Ast Ast Check

mm2 no dia no dia Provided

Steel specificationSteel specification

neutral axis within flange 1963.50 o.k.1753.85 20.004.00 25.00 0.00

2.00 12.00 0.00 20.00 226.19 o.k.

2.00 12.00 0.00 20.00 226.19 o.k.

2.00 12.00 0.00 20.00 226.19 o.k.

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grid slab

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