141412480-slab-culvert.xls
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effective span
l cc
=
6.4 m
= =
7.5 m 0.6 m
thickness of slab effective cover
ts
= =
0.5 m 0.03 m
thickness of wearing coat
tw
=
0.08 m
clear carriageway width of kerb
CALCULATION OF DEAD LOAD weight of the slab weight of wearing coat
= =
12 kN/m2 1.76 kN/m2
total weight
=
13.76 kN/m2
Bm dead load
=
70.45 kN-m
SF dead load
=
44.03 kN-m
CLASS AA LOADING- TRACKED (LIVE LOAD) Bending Moment distance of axle from the edge of the kerb
=
1.2 m
=
4.76 m
α a b1
= = = =
1.36 2.77 3.2 1.01
bef
=
5.438 m
Total dispersion width
=
6.994 m
impact factor
=
0.198
intensity of loading including impact
=
BM
=
dispersion length dispersion width of each track b0/l
25.18 kN/m2 120.45 kN-m
Shear Force dispersion width of each track b0/l
=
1.36
1
α a b1 bef
= = = =
2.77 2.38 1.01 5.15 m
Total dispersion width
=
6.85 m
load intensity SF
= =
Shear Force
25.71 kN/m2 76.88 kN
CLASS AA LOADING- WHEELED (LIVE LOAD) Bending Moment distance of axle from edge of the kerb
=
dispersion length of each axle total dispersion length
= =
dispersion width of each wheel a b1
=
1.2 m
1.31 m 2.51 m
2.6
=
0.46 m 4.73 m
total dispersion width
=
6.52 m
impact factor
=
0.25
intensity of loading including impact BM
= =
30.57 kN/m2 98.70 kNm
Shear Force dispersion width of each wheel a bef
= =
0.655 2.09 m
total dispersion width
=
4.29 m
intensity of loading including impact SF
= =
bef
46.46 kN/m2 93.76 kN
CLASS A LOADING (LIVE LOAD) distance of axle from kerb distance b/w carriages dispersion length for each wheel
=
0.15 m 1.2 m 1.41 m 2
total dispersion length
=
2.61 m
total dispersion width
= = = =
2.6 0.66 m 4.93 m 8.70 m
intensity
=
27.37 kN/m2
BM shear force
=
90.99 kNm
a b1 bef
a b1 bef
0.705 0.66 2.40 7.50 31.76 65.98
m m m kN/m2 kN
BM (kNm) 70.45 120.45 98.70 90.99 120.45 190.90
SF (kN) 44.03 76.88 93.76 65.98 93.76 137.79
total dispersion width intensity SF DESIGN OF SLAB DEAD LOAD AA (TRACKED) AA (WHEELED) A (TWO LANE) MAX LIVE LOAD DESIGN VALUES Grade of concrete Grade of steel c t m Neutral axis factor(k) Lever arm factor (j) M R factor (Q) Eff. Depth (Required) Diameter of main steel Clear Cover Eff. Cover Eff. Depth (Provided) Ast Area of one bar Spacing of main steel BM for dist. Steel Dia of dist. Steel Eff. Depth for dist. Steel Ast.
25 415 8.3 200 10 0.293 0.902 1.098 416.94 20 30 40 460 2299.88 314.29 136 50.23 12 444 626.89
MPa MPa MPa MPa
mm mm mm mm mm mm2 mm2 mm kNm mm mm mm2
3
Area of one bar Spacing of dist. Steel Check for shear Nominal Shear Stress
113.14 180
mm2 mm
0.300
MPa
4
formulas for distance from kerb 1.2 <5.3 0.3 1.2 1.2
5.3 >5.3
0.3 1.2
IRC21 pg51 b0/l
α 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0.4 bef/2 0.8 bef/2 (avai 1.16 2.225 1.48 1.72 b0/l α
2.719 2.225
1.96 2.12 2.24 2.36 2.48
1.3 2.72 1.4 2.8 impact factor IRC6 pg23 0.1975
1.1 1.2 1.3 1.4 1.5
2.6 2.64 2.72 2.8 2.84
0.1975 0.1975 0.1975 5 9
1.6
2.88 b0/l
1.7
2.92
2.7675 2.77
0.25 0.1 α
1.3
2.72
2.7675
5
1.8 1.9 2
2.96 1.4 3 3 bef/2 bef/2 (avai 2.225
2.8
2.77
2.57362 2.225
formulas for distance from kerb 1.2 <5.3 0.3 1.2 1.2
5.3 >5.3
0.3 1.2
logic for DL 1.2 bef/2 0 bef/2 (avai 0 1.95
2.37 1.95
bef/2 bef/2 (avai 1.04
1.04 1.95
<5.5 5.5 7.5 >7.5
0.4 0.4 1.2 1.2 6
bef/2 bef/2 (avai 1.00
2.47 1
1 5.27
2 3 8.77 8.7 Impact Factor for Class A Loading
bef/2 bef/2(av) 1.00
4
5
0.36
1.20 1.00 7.50 8.7
7
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
0.4 0.8 1.16 1.48 1.72 1.96 2.12 2.24 2.36 2.48 2.6 2.64 2.72 2.8 2.84 2.88 2.92 2.96 3 3
1.79 2.92 2.936
3.5 3
f(x) = 0.5314417564x^3 - 2.5838159687x^2 R² = 0.9989058515
2.5 2 1.5 1 0.5 0 0
0.5
1
1
7564x^3 - 2.5838159687x^2 + 4.5641972481x - 0.0024602683 515
1
1.5
2
2.5
[email protected]
l cc
=
6.4 m
= =
7.5 m 0.6 m
thickness of slab effective cover
ts
= =
0.5 m 0.03 m
thickness of wearing coat
tw
=
0.08 m
clear carriageway width of kerb
CALCULATION OF DEAD LOAD weight of the slab weight of wearing coat
= =
12 kN/m2 1.76 kN/m2
total weight
=
13.76 kN/m2
Bm dead load
=
70.45 kN-m
SF dead load
=
44.03 kN-m
CLASS AA LOADING- TRACKED (LIVE LOAD) Bending Moment distance of axle from the edge of the kerb
=
1.2 m
=
4.76 m
α a b1
= = = =
1.36 2.77 3.2 1.01
bef
=
5.438 m
Total dispersion width
=
6.994 m
impact factor
=
0.198
intensity of loading including impact
=
BM
=
dispersion length dispersion width of each track b0/l
25.18 kN/m2 120.45 kN-m
Shear Force dispersion width of each track b0/l
=
1.36
1
α a b1 bef
= = = =
2.77 2.38 1.01 5.15 m
Total dispersion width
=
6.85 m
load intensity SF
= =
Shear Force
25.71 kN/m2 76.88 kN
CLASS AA LOADING- WHEELED (LIVE LOAD) Bending Moment distance of axle from edge of the kerb
=
dispersion length of each axle total dispersion length
= =
dispersion width of each wheel a b1
=
1.2 m
1.31 m 2.51 m
2.6
=
0.46 m 4.73 m
total dispersion width
=
6.52 m
impact factor
=
0.25
intensity of loading including impact BM
= =
30.57 kN/m2 98.70 kNm
Shear Force dispersion width of each wheel a bef
= =
0.655 2.09 m
total dispersion width
=
4.29 m
intensity of loading including impact SF
= =
bef
46.46 kN/m2 93.76 kN
CLASS A LOADING (LIVE LOAD) distance of axle from kerb distance b/w carriages dispersion length for each wheel
=
0.15 m 1.2 m 1.41 m 2
total dispersion length
=
2.61 m
total dispersion width
= = = =
2.6 0.66 m 4.93 m 8.70 m
intensity
=
27.37 kN/m2
BM shear force
=
90.99 kNm
a b1 bef
a b1 bef
0.705 0.66 2.40 7.50 31.76 65.98
m m m kN/m2 kN
BM (kNm) 70.45 120.45 98.70 90.99 120.45 190.90
SF (kN) 44.03 76.88 93.76 65.98 93.76 137.79
total dispersion width intensity SF DESIGN OF SLAB DEAD LOAD AA (TRACKED) AA (WHEELED) A (TWO LANE) MAX LIVE LOAD DESIGN VALUES Grade of concrete Grade of steel c t m Neutral axis factor(k) Lever arm factor (j) M R factor (Q) Eff. Depth (Required) Diameter of main steel Clear Cover Eff. Cover Eff. Depth (Provided) Ast Area of one bar Spacing of main steel BM for dist. Steel Dia of dist. Steel Eff. Depth for dist. Steel Ast.
25 415 8.3 200 10 0.293 0.902 1.098 416.94 20 30 40 460 2299.88 314.29 136 50.23 12 444 626.89
MPa MPa MPa MPa
mm mm mm mm mm mm2 mm2 mm kNm mm mm mm2
3
Area of one bar Spacing of dist. Steel Check for shear Nominal Shear Stress
113.14 180
mm2 mm
0.300
MPa
4
formulas for distance from kerb 1.2 <5.3 0.3 1.2 1.2
5.3 >5.3
0.3 1.2
IRC21 pg51 b0/l
α 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
0.4 bef/2 0.8 bef/2 (avai 1.16 2.225 1.48 1.72 b0/l α
2.719 2.225
1.96 2.12 2.24 2.36 2.48
1.3 2.72 1.4 2.8 impact factor IRC6 pg23 0.1975
1.1 1.2 1.3 1.4 1.5
2.6 2.64 2.72 2.8 2.84
0.1975 0.1975 0.1975 5 9
1.6
2.88 b0/l
1.7
2.92
2.7675 2.77
0.25 0.1 α
1.3
2.72
2.7675
5
1.8 1.9 2
2.96 1.4 3 3 bef/2 bef/2 (avai 2.225
2.8
2.77
2.57362 2.225
formulas for distance from kerb 1.2 <5.3 0.3 1.2 1.2
5.3 >5.3
0.3 1.2
logic for DL 1.2 bef/2 0 bef/2 (avai 0 1.95
2.37 1.95
bef/2 bef/2 (avai 1.04
1.04 1.95
<5.5 5.5 7.5 >7.5
0.4 0.4 1.2 1.2 6
bef/2 bef/2 (avai 1.00
2.47 1
1 5.27
2 3 8.77 8.7 Impact Factor for Class A Loading
bef/2 bef/2(av) 1.00
4
5
0.36
1.20 1.00 7.50 8.7
7
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
0.4 0.8 1.16 1.48 1.72 1.96 2.12 2.24 2.36 2.48 2.6 2.64 2.72 2.8 2.84 2.88 2.92 2.96 3 3
1.79 2.92 2.936
3.5 3
f(x) = 0.5314417564x^3 - 2.5838159687x^2 R² = 0.9989058515
2.5 2 1.5 1 0.5 0 0
0.5
1
1
7564x^3 - 2.5838159687x^2 + 4.5641972481x - 0.0024602683 515
1
1.5
2
2.5
[email protected]
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