TABLE 3.14 Bending moment coefficient for Rectangular Panels supported on Four Sides with Provision for Torsion at CornersPage 43

Short span coefficient Ax (values of Ly/Lx)

1 1.1 1.2 1.3 1.4 1.5 1.75(1) (2) (3) (4) (5) (6) (7) (8) (9)

1 Internal Panels:Negative moment at continuous edge 0.032 0.037 0.043 0.047 0.051 0.053 0.06positive moment at mid span 0.024 0.028 0.032 0.036 0.039 0.041 0.045

2 One short edge discontinuous:Negative moment at continuous edge 0.037 0.043 0.048 0.051 0.055 0.057 0.064positive moment at mid span 0.028 0.032 0.036 0.039 0.041 0.044 0.048

3 One long edge discontinuousNegative moment at continuous edge 0.037 0.044 0.052 0.057 0.063 0.067 0.077positive moment at mid span 0.028 0.033 0.039 0.044 0.047 0.051 0.059

4 Two adjacent edge discontinuousNegative moment at continuous edge 0.047 0.053 0.06 0.065 0.071 0.075 0.084positive moment at mid span 0.035 0.04 0.045 0.049 0.053 0.056 0.063

5 Two short edge discontinuousNegative moment at continuous edge 0.045 0.049 0.052 0.056 0.059 0.06 0.065positive moment at mid span 0.035 0.037 0.04 0.043 0.044 0.045 0.049

6 Two long edge discontinuousNegative moment at continuous edge 0 0 0 0 0 0 0positive moment at mid span 0.035 0.043 0.051 0.057 0.063 0.068 0.08

7Negative moment at continuous edge 0.057 0.064 0.071 0.076 0.08 0.084 0.091positive moment at mid span 0.043 0.048 0.053 0.057 0.06 0.064 0.069

8Negative moment at continuous edge 0 0 0 0 0 0 0positive moment at mid span 0.043 0.051 0.059 0.065 0.071 0.076 0.087

9 Four edge discontinuous

positive moment at mid span 0.056 0.064 0.072 0.079 0.085 0.089 0.1

10 Simple support oneway slabNegative moment at 0.000 0.000 0.000 0.000 0.000 0.000 0.000positive moment at mid span 0.100 0.100 0.100 0.100 0.100 0.100 0.100

11 End continious oneway slabNegative moment at continuous edge 0.100 0.100 0.100 0.100 0.100 0.100 0.100positive moment at mid span 0.083 0.083 0.083 0.083 0.083 0.083 0.083

12 Internal oneway slab

Case No

Types of Panel and Moments Considered

Three edges discontinuous ( one long edge continuous)

Three edges discontinuous ( one short edge continuous )

Negative moment at continuous edge 0.083 0.083 0.083 0.083 0.083 0.083 0.083positive moment at mid span 0.063 0.063 0.063 0.063 0.063 0.063 0.063

1 Internal Panels:

2 One short edge discontinuous:

3 One long edge discontinuous

4 Two adjacent edge discontinuous

5 Two short edge discontinuous

6 Two long edge discontinuous

7 Three edges discontinuous( one long edge continuous)

8 Three edges discontinuous( one short edge continuous )

9 Four edge discontinuous

10 Simple support oneway slab

11 End continious oneway slab

12 Internal oneway slab

at outer Near middle of end span

simple support oneway slab 0 0.086 0End continious oneway slab 0.04 0.075 0.086Internal oneway slab 0.063 0.063 0.063

TABLE 3.14 Bending moment coefficient for Rectangular Panels supported on Four Sides with Provision for Torsion at Corners

Short span coefficient Ax (values of Ly/Lx)

2 Ly/Lx =(10)

0.065 0.032 40.049 0.024 5

67

0.068 0.037 80.052 0.028 9

1011

0.085 0.037 120.065 0.028 13

1415

0.091 0.047 160.069 0.035 17

1819

0.069 0 200.052 0.035 21

2223

0 0.045 240.088 0.035 25

26

270.097 0 280.073 0.043 29

30

310 0.057 32

0.096 0.043 33343536

0.107 0.056 373839

0.000 400.100 41

4243

0.100 440.083 45

4647

Long span coefficient Ay for

all values of

0.083 480.063 49

Project rrr Job ref. Page

Calc. by Date Check by Date

Ref. Calculations OutputDESIGN OF SLABINPUT DATA

1 Slab Number S52 Concrete Grade fck = 25 N/mm23 Steel Grade fy = 415 N/mm24 Short Span Lx 4.00 M5 Long Span Ly 6.00 M6 Thickness of Slab T = 150 mm7 Cover to reinforcement Cc = 20 mm8 Live Load 2.00 kN/m29 Finish Load 2.00 kN/m2

10 Type of Slab PanelInternal oneway slab

Laod Calculation1 Self weight of slab Sw = 3.75 kN/m22 Live Load LL = 2.00 kN/m23 Finish Load FL = 2.00 kN/m24 Misc Load ML = kN/m25 Total Factored Load L = 11.63 kN/m2

DESIGNRatio of Long Span to short span Ly/Lx = 1.50 49

Co eff BM k pt Ast Dia Spacing d Provided AstSpan X 0.063 11.63 0.732 0.210 264.8 8 189 126 T8@150 335.1Span Y 0.00 0.000 0.000 180.0 8 0 118 T8@200 251.3Support X 0.083 15.50 0.976 0.284 357.7 8 140 126 T8@125 402.1Support Y 0.00 0.000 0.000 180.0 8 0 118 T8@200 251.3

Check depth for Max Bending Moment 67.03 mmMin Effective Depth Provided 118.00 mmMin Ast required 0.12% 180.00 mm2DEFLECTION CHECKReinforcement provided at Mid Span X 335.1 mm2Stress in reinforcement Fs 190.22Percentage of Reinforcement provided 0.266 %Modification Factor 2.000Permisible L/d 52.00Actual L/d 31.75 OK

Depth required for Deflection control 76.92 OK

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T8@

125

T8@200 T8@200

0

T8@200

T8@

150

T8@

125

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Quantity SummaryConcrete quantity 3.906 CumReinforcement quantity 177.61 kgskg/cum 45.47

Lx =Ly =

26 Internal Panels:

26 One short edge discontinuous:

26 Two short edge discontinuous

20 Two long edge discontinuous

23Three edges discontinuous (one long edge continuous)

rrr 5 20Three edges discontinuous (one short edge continuous)

20 Four edge discontinuous

0 20 Simple support oneway slab

23 End continious oneway slab

26 Internal oneway slab

8 10 12Z = 0.87fy X Span X 185 295 300

3.611 0.602 Span Y 0 0 0Support X 140 215 300Support Y 0 0 0

constent for 20 or 26 1.3

1.3 5 4 1 1 1 11.3 9 8 1 1 0 1

1.3 21 20 0 1 0 11 25 24 1 0 1 0

1.15 29 28 11 33 32 11 37 361 41 40 0

1.15 45 44 1 0 01.3 49 48 0 1 0 1