If your sheet is macro disable then do it enable.This Excel Sheet is The Solution For Different Type of Slab Design.In this Excel Sheet Seen Yellow Cell is the Data that we have to Input Man…Full description
ALGORITHM ANALYSIS DIVIDE AND CONQUER GREEDY METHOD DYNAMIC PROGRAMMING BACKTRACKING TRAVERSALS BRANCH AND BOUND
Reinforced concrete occupies a leading position modern construction along with pre stressed concrete and steel construction. Proper construction depends upon through knowledge of action of structur...
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Seismic Design of Steel DeckFull description
Seismic Design of Steel DeckFull description
example for understand how to design flat slabFull description
concrete slab design
System based Assignment for System Analysis and Design Module at APIIT 1st year 1st SemesterFull description
13 ANALYSIS AND DESIGN OF DECK SLAB 0.500
1.500
0.500
0.500 12.000
0.225
0.225
0.225
0.750 RCC T-BEAM
3.00
1.500
The deck slab has been analysed transversely as a continuous slab (supported on Longitudinal girders) with cantilever overhang on either side by taking unit width of deck along the span. The analysis has been carried out for various loads i.e. DL, SIDL, FPLL & CWLL. Effect of Temperature rise and fall cases are also considered by applying an equivalent force and moment at the end support of the deck. Various design sections have been identified and designed for the worst combination of above loads. The analysis has been carried out by STAAD Pro. The representative section of the slab taken for transverse analysis is taken at the mid-section. Same design shall hold good for the other sections also.
Design Data:
1.1
Total Width of Superstructure Width of Carriageway Effective Span Width of Railing
= = = =
12.000 9.000 18.500 0 500 0.500
m m m m
Width of Footway Width of C/Barrier on Footpath side Width of C/Barrier on Median side Skew angle Thickness of Deck slab at centre Thickness of Deck slab at cantilever root Thickness of Deck slab at cant end Nos. of Longitudinal Girders C/C spacing of Longitudinal girders Width of girder Flange at top Width of girder Flange at bottom Ovehang of Deck slab at support Thickness of wearing coat Depth of haunch
Material Properties: Grade of Concrete Used Grade of steel Charactristic strength of concrete (fck) Charactristic strength of steel (fy) Tensile strength of concrete (fctm) Design yield strength of shear reinforcement fywd = 0. Partial material safety factor for concrete (γm) Partial material safety factor for Steel (γs) Ultimate compressive strain in the concrete (єcu3) modulus of elasticity of rienforcing of steel (Es)
= = =
=
m m m m m m m (from c/l of Long. Girder) m m
= = = = = = = =
M40 Fe 500 40 500 3 348 1.5 1.15 0.0035 200000
modulus of elasticity of concrete (Ecm) modular ratio αe (Es/Ecm) Ultimate tensile strain in the steel (єs) = [{fy/(γs xEs)}
= = =
33000 MPa 6.06 0.00417
Coefficient to consider the influence of the concret str Factor (λ ) Factor (η) fcd = (α*fck/γm) Factor Fav (ηfcdλ)
0.67 Cube A2.10 Page : 244 (IRC:112-2011) 0.8 0.8 Up to fck ≤ 60Mpa,Eq.A2-33 (IRC:112-2011); 0.8-((fck-60)/500) for 60
Page 83
13.0 LOAD CALCULATION 13.1 DEAD LOAD (SELF WEIGHT) : SELF WEIGHT OF THE STRUCTURE IS AUTOMATICALLY CALCULATED BY STAAD ITSELF 13.2 SUPER IMPOSED DEAD LOAD 13.2.1 WEIGHT OF WEARING COAT: Thickness of wearing coat Unit weight of wearing coat Load due to wearing coat
=0.1 =22 =2.2
m KN/m^3 KN/m^2 225
13.2.2 WEIGHT OF CRASH BARRIER: 500 7.20 KN/m
WEIGHT OF CRASH BARRIER MEDIAN SIDE (Re WEIGHT OF CRASH BARRIER
275
14.40 KN/m^2
WEIGHT OF CRASH BARRIER FOOTPATHSIDE (
250 215
7.20 KN/m
WEIGHT OF CRASH BARRIER FOOTPATH SIDE
14.40 KN/m^2 500
13.2.3 WEIGHT OF RCC RAILING : Weight of RCC Kerb + Steel railing WEIGHT OF RCC RAILING : Weight of RCC Kerb + Steel railing
7.29 KN/m 0.00 KN/m^2 14 58 KN/m KN/m^2 14.58 2
Steel railing 1000
13.3.0 FOOT WAY LIVE LOAD :
250
AS PER IRC:6 -2000 , FOOTWAY LIVE LOAD = 13.4.0 CARRIAGEWAY LIVE LOAD :
4.51
KN/m^2
500 RAILING
As per IRC:6-2000
beff = α ∗ a * (1 - a / L) + b1 beff = 1.2 * a + b1
For Continuous span For Cantilever portion
For Continuous Span: L= 2.3 m a= Distance of the concentrated load from C/L of nearest support b1 = Width of the load parallel to support + 2 x thk of WC
Page 84
For cantilever span L= a= b1 =
1.500m Distance of the concentrated load from face of the support Width of the load parallel to support + 2 x thk of WC
Impact Factor : a) For Continuous span, b) For cantilver span
Class A 70R (W & T) Class A 70R (Ww & T)
=1.5 =1.25 =1.5 =1.25
13.4.1 NEARER TO THE CRASH BARRIER: 500
1500
500
57
57 500
1800
1700
1800
3.000
400
1500
1st LOAD a1 = b1 = beff = beff (modified) Load per meter width
0.6 m 0.45 m 1.1700 < = 1.170 =
G1 RIGHT 1.2 m 73.08
KN
2nd LOAD a2 b2 α
= = =
beff = beff (modified) Load per meter width
1.200 m 0.45 m 2.60 2.32
G1 LEFT
> 1.76
=
1.2 m
=
48.55
KN
3rd LOAD a3 b2 α
= = =
beff = beff (modified) Load per meter width
0.100 m 0.45 m 2.60 0.70
G2 RIGHT
< 0.70
=
1.2 m
=
121.91
KN
4th LOAD a4 b2 α
= = =
beff = beff (modified) Load per meter width
1.300 m 0.45 m 2.60 2.37
G3 RIGHT
> 1.78
= =
1.2 m 47.96
KN
Page 85
13.4.2 FOR MAX. MOMENT AT INTERMEDIATE SUPPORT 13.4.2.1 70 R (AXLE-L) 100
100 1.93
1
2
3
0.965 3.000
1 & 2 nd load a b
= =
α
=
0.965 m 0.463 m 2.60
beff = beff (modified) Load per meter width
2.16 = =
> 1.69 73.86
1.22 m KN
13.4.2.2 70 R (AXLE-M) 50
50
FP END
50
50
0.79 1
2
3
a2 a1 1st & 4th LOAD a1
=
1.190 m
b1
=
0.463 m
α
=
beff = beff (modified) Load per meter width 2nd & 3rd LOAD a2 b2
= = =
α
beff = beff (modified) Load per meter width
G2 LEFT
2.60 2.33 = =
> 1.77 35.21
1.22 m KN
0.395 m 0.463 m
G2 LEFT
2.60 1.35 = =
> 1.29 48.55
1.22 m KN
13.4.2.3 70 R TRACKED LOADING 350
350
FP END
0.84 2.90 1st & 2nd LOAD a b α
= =
1.03 m 4.77 m
=
2.60
beff = Load per meter width
6.53 =
G2 RIGHT G2 LEFT
67.01
KN
Page 86
13.4.3 FOR MAX. SPAN MOMENT 13.4.3.1 70 R (AXLE-L) 100
100 1.93
1
2
2
0.43
1.5 3.000
1st LOAD a1 b1 α
= = =
0.43 0.463 2.60
beff = beff (modified) Load per meter width
1.42 = =
G2 LEFT
> 1.32 94.67
1.22 m KN
2nd LOAD a2 b2 α
= = =
1.5 m 0.463 m 2.60
beff = beff (modified) Load per meter width
2.41 = =
G2 RIGHT
> 1.82 68.81
1.22 m KN
13.4.3.2 70 R (AXLE-M) 50
50 0.790
0.795
50 0.795
50
a2 a1 a3 a4 1st LOAD a1 b1 α
= = =
beff = beff (modified) Load per meter width
0.085 0.463 2.60 0.68 = =
G2 LEFT
< 0.68 92.22
1.22 m KN
2nd LOAD a2 b2 α
= = =
beff = beff (modified) Load per meter width
0.710 0.463 2.60 1.87 = =
G2 RIGHT
> 1.55 40.43
1.22 m KN
3rd LOAD a3 b3 α
= = =
beff = beff (modified) Load per meter width
1.5 0.463 2.60 2.41 = =
G2 RIGHT
> 1.82 34.41
1.22 m KN
4th LOAD a4 b4 α
= = =
0.705 m 0.463 m 2.60
G1 LEFT
Page 87
beff = beff (modified) Load per meter width
1.87 = =
> 1.54 40.52
1.22 m KN
13.4.3.3 70 R TRACKED LOADING 350
350 2.9
0.84 0.56
1.50
1st LOAD a2 b2 α
= = =
0.56 m 4.77 m 2.60
beff = Load per meter width
5.95 m = 73.48
G2 LEFT
KN
2nd LOAD a1 b1 α
= = =
1.500 m 4.77 m 2.60
beff = Load per meter width
6.72 m = 65.10
G2 RIGHT
KN
13.5.0 TEMPERATURE GRADIENT LOAD : Grade of Concrete
=
α
=
1.17E-05 per oC
Ec
=
31623 Mpa
σ
M40
= Ec.α.T
F1 = 1/2.(s1+s2)
&
F2 = 1/2.(s2+s3)
M1 =
&
M2 = F2 . e2
F1 . e1
13.5.1 TEMPERATURE RISE : 17.8 or s1
F1
112.5
150
e1
4.0 or s2
e2 F2
75
2.8 or s3 s1 s2 s3 F1 F2 e1 e2 F = F1 + F2 M = F1.e1+F2.e2
DESIGN OF DECK SLAB 3.0 DATA INPUT SR NO 1 2 3 4 5 7
DESCRIPTION Main girder c/c distance Thickness of deck slab Width of deck slab Flange width of girder Depth of flange of girder Thickness of weaing coat
UNIT m m m m m m
8
Density of concrete
t/m3
2.50
9 10 11 12 13 14 15 16 17 18 19 20
Density of Wearing coat Grade of concrete Grade of steel Stress in Concrete (Rare combination) Stress in Concrete (QPC combination) Stress in Steel (Rare & QPC combination) Modular ratio Crack width (As per Table‐12.1) Thk of Crash Barrier Length of cantilever portion (max) Thk of cantilever portion Clear cover to outer most reinforcement
ULS BM KN.m/m Span moments = Intermediate supports moments at face of web= Intermediate supports moments at face of flange= End supports moments at face of web= End supports moments at face of flange= Cantilever moments at face of Flange= Cantilever moments at face of web=
ULS
SLS
SLS‐ QPC BM KN.m/m
0.3 BM KN.m/m
0.3 BM KN.m/m
7.50 3.00 2.50 23.00 22.00 11.00 12.00
16.50 14.85 8.10 21.30 19.50 14.25 17.25
12.00 7.20 6.00 18.45 17.10 9.90 11.70
3.2 REINFORCEMENT SCHEDULE Sr. No. 1
Bar Nos
Dia
Spacing (In mm)
Area of steel
b1 b b1 b
12 12 12 12
200 200 200 200
565.49 565.49 565.49 565.49
Mid span slab a)Span moments
a a1
10 12
200 200
392.70 565.49
b) Intermediate Supports at face of web
b
12
200
565.49
b2
10
200
392.70
Type Cantilever slab a) At face of flange b) At face of web
2
Ast prov (In mm2)
Ast min Check for (mm2) Ast min
Ast max (mm2)
Check Ast max
1130.97
279
OK
5625
OK
1130.97
396
OK
5625
OK
958.19
279
OK
5625
OK
958.19
396
OK
5625
OK
Page 90
b) Intermediate Supports at face of flange
b
12
200
565.49
b2
c)End supports at face of web c)End supports at face of flange
b1 b b1 b
10 12 12 12 12
200 200 200 200 200
392.70 565.49 565.49 565.49 565.49
958.19
279
OK
5625
OK
1130.97
396
OK
5625
OK
1130.97
279
OK
5625
OK
For Distribution steel: 0.2DL+0.2SIDL+0.3LL is considered for distribution steel 1
Cantilever slab
10
200
392.70
392.70
279
OK
2
Mid span slab a)Span moments b) Intermediate supports
10 10
200 200
392.70 392.70
392.70 392.70
279 279
OK OK
3.3 CHECK FOR ULTIMATE LIMIT STATE BM t.m/m
Ast Pro (mm2)
Cantilever slab a) At face of flange
5.09
1130.97
34.16
b) At face of web
6.16
1130.97
5.89
958.19
Sr. No. 1
2
Type
Mid span slab a)Span moments b) Intermediate Supports at face of web b) Intermediate Supports at face of flange
5.30
958.19
Depth of Effective Depth NA (mm) d (mm)
MOR t.m/m
Check for MOR
179.00
8.13
OK
34.16
254.00
11.82
OK
28.95
179.00
6.98
OK
28.95
10.11
254.00
2.89
958.19
28.95
179.00
c)End supports at face of web
7.61
1130.97
34.16
254.00
c)End supports at face of flange
6.96
1130.97
34.16
179.00
OK
6.98 11.82 8.13
OK OK
For Distribution steel: 0.3 Total B.M is considered for distribution steel 1
Cantilever slab
1.85
392.70
11.86
179.00
2.98
OK
2
Mid span slab a)Span moments b) Intermediate supports
1.77 1.59
392.70 392.70
11.86 11.86
179.00 179.00
2.98 2.98
OK OK
3.4 CHECK FOR SERVICEABILITY LIMIT STATE‐RARE COMBINATION
Sr. No. 1
MOI of Check Stress in Cracked Stress in concrete concrete steel (Mpa) (Mpa) section stress (mm4)
Check for steel stress
BM t.m/m
Depth of NA (mm)
Cantilever slab a) At face of flange
3.53
34.16
1.47E+08
8.21
OK
210.91
OK
b) At face of web
4.18
34.16
3.35E+08
4.26
OK
166.35
OK
Type
Page 91
2
Mid span slab a)Span moments b) Intermediate Supports at face of web b) Intermediate Supports at face of flange
Mid span slab a)Span moments b) Intermediate Supports at face of web b) Intermediate Supports at face of flange
3.6 CHECK FOR CRACK WIDTH Sr. No. 1
2
Type
Equi.diame 5*(C+ф/2) ter фeq mm (mm)
Crack width Check for Wk (mm) Crack width
Cantilever slab a) At face of flange
12.00
230
0.0101
112500
338.92
70.3
0.00021
0.073
OK
b) At face of web
12.00
230
0.0098
115000
343.43
51.18
0.00072
0.247
OK
11.09
228
0.0085
112500
357.37
55.02
0.00013
0.048
OK
11.09
228
0.0083
115000
362.29
14.8
0.00061
0.220
OK
11.09
228
0.0085
112500
357.37
18.34
0.00003
0.011
OK
12.00
230
0.0098
115000
343.43
98.1
0.00068
0.234
OK
12.00
230
0.0101
112500
338.92
140.61
0.00025
0.085
OK
Mid span slab a)Span moments b) Intermediate Supports at face of web b) Intermediate Supports at face of flange c)End supports at face of web c)End supports at face of flange
Page 92
STAAD FILE FOR DECK SLAB STAAD FLOOR **DECK SLAB ANALYSIS INPUT WIDTH 79 ******************************************************************************** UNIT METER KN JOINT COORDINATES 1 0 0 0 2 1.125 0 0 3 1.2 0 0 4 1.5 0 0 5 1.8 0 0 6 1.875 0 0 7 4.125 0 0 8 4.2 0 0 9 4.5 0 0 10 4.8 0 0 11 4.875 0 0 12 7.125 0 0 13 7.2 0 0 14 7.5 0 0 15 7.8 0 0 16 7.875 0 0 17 10.125 0 0 18 10.2 0 0 19 10.5 0 0 20 10.8 0 0 21 10.875 0 0 22 12 0 0 MEMBER INCIDENCES 1 1 2 21 ******************************************************************************** ******************************************************************************** DEFINE MATERIAL START ISOTROPIC MATERIAL2 E 3.25e+007 POISSON 0.15 DENSITY 25 END DEFINE MATERIAL CONSTANTS MATERIAL MATERIAL2 ALL MEMBER PROPERTY INDIAN 1 TO 21 PRIS YD 0.225 ZD 1 SUPPORTS 4 9 14 19 PINNED ************************************************************* LOAD 1 SELFWEIGHT SELFWEIGHT Y -1 *********************************************************** LOAD 2 SIDL crash barrier MEMBER LOAD 1 UNI GY -15 0 0.5 21 UNI GY -15 0.625 1.125 6 UNI GY -14.4 0.125 0.625 ************************************************************** LOAD 3 SIDL wearing coat MEMBER LOAD 6 UNI GY -2.2 0.625 2.25 7 TO 20 UNI GY -2.2 21 UNI GY -2.2 0 0.625 6 UNI GY -2.2 0 0.125 1 UNI GY -2.2 0.5 1.5
Page 93
2 3 4 5 UNI GY -2.2 ************************************************************** LOAD 4 LL1 *************** LOAD FOR MAX CANTILEVER MOMENT MEMBER LOAD 21 CONC GY -73.08 0.3 16 CONC GY -48.56 1.425 14 CONC GY -121.92 0.1 11 CONC GY -47.97 1.325 ***************************************************** LOAD 5 LL2 ********************70R (AXLE-L) FOR MAX SUPPORT MOMENT ON 2ND GIRDER MEMBER LOAD 6 CONC GY -73.86 1.66 11 CONC GY -73.86 0.59 ***************************************************** LOAD 6 LL3 **************70R (AXLE-M) FOR MAX SUPPORT MOMENT ON 2ND GIRDER MEMBER LOAD 6 CONC GY -35.22 1.435 6 CONC GY -48.55 2.23 11 CONC GY -48.55 0.02 11 CONC GY -35.22 0.815 **************************************************** LOAD 7 LL4 ***************70RT FOR MAX MOMENT ON 2ND GIRDER MEMBER LOAD 6 CONC GY -67.02 1.595 11 CONC GY -67.02 0.655 **************************************************** LOAD 8 LL5 **70R (AXLE-L) FOR AMX SPAN MOMENT MEMBER LOAD 6 CONC GY -94.67 2.195 11 CONC GY -68.82 1.125 *************************************************** LOAD 9 LL6 *****************70R (AXLE-M) FOR MAX SPAN MOMENT MEMBER LOAD 8 CONC GY -92.22 0.215 11 CONC GY -40.43 0.335 11 CONC GY -34.41 1.125 11 CONC GY -40.52 1.92 **************************************************** LOAD 10 LL7 ****************70RT FOR MAX SPAN MOMENT MEMBER LOAD 6 CONC GY -73.48 2.065 11 CONC GY -65.11 1.125 **************************************************** LOAD 11 TEMP GRAD RISE JOINT LOAD 4 FX 699.3 MZ 25.4 19 FX -699.3 MZ -24.4 ****************************************************** LOAD 12 TEMP GRAD FALL JOINT LOAD 4 FX 511.55 MZ -13.91 19 FX -511.55 MZ 13.91 ***************Basic Load ULS basic combination LOAD COMB 101 D.L+SIDL+LL1 1 1.35 2 1.35 3 1.75 4 1.5 LOAD COMB 102 D.L+SIDL+LL2 1 1.35 2 1.35 3 1.75 5 1.5