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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 599
Software Development for Railway Bridge Deck Slab Using IRS Code
Manmohan Sharma1, Shashikant Dhobale2
M.E Scholar1, Assistant Professor2
Department of Civil Engineering, Jawaharlal Institute of Technology, Borawan, Khargone
----------------------------------------------------------------------***---------------------------------------------------------------------
ABSTRACT
Visual Basic has recently emerged as one of the most
frequently utilized event-driven programming languages in
the world. An event-driven language respondstoeventslikeas
pressing a button, selecting an item from a list, navigating
away from a control, and so on. Many programmes written in
the Visual Basic programming languageareeffectively usedin
the banking and finance industries. The Visual Basiclanguage
has a lot of promise for developing software for the analysis
and design of civil engineering structures. from traditional,
linear programming approaches. The software isbasedonthe
idea that we must define the section, material of the bridge
component, and apply the load that will have the most
unfavorable effect on the component over its service life. The
software will do calculations for stresses, deflection, and
reinforcement. These stresses and deflectionsshouldbe within
the limits allowed by the appropriate IRS and IS codes. If the
calculated values of stresses and deflection do not fall within
acceptable limits, the section must be altered and the analysis
procedure must be restarted. This exercise must be repeated
until the safe section of the bridge component is reached.
Keywords– Railway bridge, IRSCode,softwaredevelopment.
INTRODUCTION
The deck slab of a railway bridge must be designed to
meet the relevant wide gauge loading requirement. For
analysis and design purposes, the deck slab is separated into
two parts: cantilever slab and internal panel. For
concentrated loads due to PQRS loading, the cantilever
section of the deck slab must be assessed using the effective
width approach as specified in clause 24.3.2 of IS 456:2000.
The inside panel of the deck slab is monolithic and
continuous, made of PSC girder and diaphragm. The inside
panel is susceptible to concentrated loads from train wheels
as well as derailment loads in the event of a train derailment
over a bridge. There are two ways for analysing such slabs:
Pigeaud's theoryand Westergaard'stheory.Pigeaud'stheory
is used toassess the inside panel in this project. Thesoftware
was created to analyse and design deck slabs.
OBJECTIVE
Software Development for Railway Bridge Deck Slab
Using IRS CODES.
METHODOLOGY
In define section of software following inputs are to
be provided.
(a) Design data
The following design data are to be provided as
input in define section of the software. We have to click the
Define button on menu bar to access the define section.
• Length of span
• Distance between centre line of bearings (Effective span)
• Overall length of deck slab
• Centre to centre spacing of girders
• No. of diaphragms
• Thickness of end diaphragm
• Thickness of intermediate diaphragm
• Out to out distance of girder flanges
• Overall width of deck slab
(b) Material properties
The material properties of Concrete are considered as per
cl.5 of IRS Concrete Bridge code – 2004 and material
properties of HYSD bars are considered as per IS 1786 –
1985.
The materials properties are to be defined in define section
of the software. We have to click on Accept button on the
Design data form to access the material propertiesform. The
GUI of material properties form is illustrated in Figure 4.2.
We have to select exposure condition, grade of concrete and
grade of steel from combo box. The material properties will
be provided by data base.
(c) Section
The section of deck slab is to be defined in define section of
the software. We have to click on Accept button on the
material properties form to access the section form.TheGUI
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 600
of section form is illustrated in Figure 4.7. We have to enter
dimensions of deck slab, ballast retainer in input boxes.
(d) Loading
As per cl. 2.1 of IRS Bridge Rules, the following loads are
considered for the purpose of analysis and design of deck
slab.
 Dead Load (DL)
 Super Imposed Dead Load (SIDL)
 Super imposed dead load includesloadduetotrack,
ballast, wearing coat and ballast retainer.
 Live Load (LL)
The live load is to be considered as per cl. 2.3.4.1 and cl.
2.3.4.2 of IRS Bridge rules for relevant loading standard.
 Dynamic Augment (I)
The dynamic augment is considered as per cl.2.4.2.1 of IRS
Bridge rules for relevant loading standard.
In case of ballasted deck slab bridges,
Coefficient of Dynamic Augment = [2-(d/0.9)] x [0.15 +
8/(6+L)] x 0.5
Here,
d = depth of ballast cushion in metres
L = Loaded length of span in metres
 PQRS loading
The PQRS loading is considered as per cl. 2.15 of IRS Bridge
rules for analysis and design of cantilever slab
 Derailment load
The Derailment load is considered as per cl. 2.14 of IRS
Bridge rules for analysis and design of interior panel.
The loading on deck slab is to be defined in define section of
the software. We have to click on Accept button on the
section form to access define loading form. The GUIofdefine
loading form is illustrated in Figure 4.7.
(e) Analysis
On completion of define process, we have to click the
Analysis button on menu bar and select deck slab to access
the analysis section of deck slab. In analysis section of
software all calculations are performed by the software on
clicking of Calculate button.
Load and moment calculations
The GUI of Load and moment calculations form is illustrated
in Figure 5.1. Click on Calculate button to calculate Load and
moment.
ANALYSIS AND DESIGN OF RCC DECK SLAB AND DIAPHRAGM
Description Value Unit Reference
GENERAL : The super structure consists of the
precast PSC (post tensioned) girder and cast in
situ deck slab.
The various assumptions made in the design
and specification used are as below
CONCRETE cl. 5 of IRS Concrete
Bridge code - 2004
Exposure condition - moderate
Grade of concrete used for PSC girder and RCC
deck slab = M- 40
Characteristics compressive strength (fck ) 40.0 N/mm
2 cl.5.1 & Table 2 of
IRS Concrete Bridge
code -2004
Unit weight of concrete 25.0 KN/m3
Modulus of elasticity of concrete 31.0 KN/mm
2 cl. 5.2.2.1 of IRS Con.
Bridge code - 2004
HYSD steel IS 1786 - 1985
Fe 415 Grade HYSD bars to be used for RCC
works
Characteristics strength/Yield strength (fy) 415.0 N/mm2
Modulus of elasticity of Steel 200.0 KN/mm2
Loading standard - MBG Loading - 1987
Item
No.
Description Value Unit Reference
1.1 DESIGN DATA
Clear span (L) 12.200 m
C/C of bearing (L1) 12.850 m
Overall length of girder (L2) 13.360 m
Overall length of slab (L3) 14.160 m
C/C distance of expansion joint of pier 14.200 m
Distance of widening point from bearing 2.055 m
C/C of girder 2.300 m
Formation level 291.541 m (As per approved L.S.)
Thickness of deck slab 0.220 m cl.4.6.2.1 of IRS Con.
Bridge code -2004
Depth of girder 1.450 m
Depth of flange 0.150 m
Depth of slope portion of flange 0.050 m
Width of flange 0.750 m
Thickness of web of girder 0.300 m
Uniform depth of web below flange 0.925 m
Slope depth of bottom bulb of girder 0.150 m
Uniform depth of bottom bulb of girder 0.175 m
Width of bottom bulb of girder 0.500 m
No of girder per bridge 2 Nos
Out to out distance of flange of all girder 3.050 m
Hence overall length of diaphragm 3.050 m
Depth of diaphragm 1.275 m
Thickness of intermediate diaphragm 0.300 m
Thickness of end diaphragm 0.510 m
Overall width of deck slab 4.800 m
Effective width of flange of T - beam 2.400 m cl.15.4.1.2 of IRS Con
Bridge code -2004
Partial load factor (YfL) cl.11.3 & Table 12 of
IRS Concrete Bridge
code -2004
Partial safety factor for steel (Ym) 1.15 cl.12.4.3 of IRS Con.
Bridge code -2004
Partial safety factor for concrete (Ym)
(Ultimate Limit State)
1.50 cl.12.4.3 of IRS Con.
Bridge code -2004
Partial safety factor for concrete (Ym)
(Serviceability Limit State)
1.25 cl.12.4.2 of IRS Con.
Bridge code -2004
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 601
DESIGN OF RCC DECKSLAB
Overall depth of slab = 220 mm
Clearcover= 30 mm
Diaof bar= 12 mm
Effective depth of slab (d) = 184 mm
Width of slab (b) = 1000 mm
Characteristics compressive strength (fck ) 40 N/mm
2
Characteristics strength/Yield strength (fy) 415 N/mm2
A. CANTILEVERSLAB
Design BM(Mu) = 42.82 kN.m
(2SIDL+1.4DL+2LL)
Ultimate moment of resistance (0.15fck b d2
) = 203.14 kN.m
(Ref: IRS Con. Br. Code cl. 15.4.2.2.1)
The overall depth provided is adequate and section is
underreinforced.
Areaof main reinforcement (As) = 676 mm2
c/cspacing of main bars = 167.30 mm
Provide 12 mm bar@150mm c/c
d
bd
f
A
f
A
f
M
ck
s
y
s
y
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VALIDATION OF SOFTWARE
A.3 ANALYSIS AND DESIGN OF DECK SLAB
A.3.1 Material properties
Concrete (Ref: cl.5 of IRS Concrete Bridge code – 2004)
Exposure condition - Severe
Characteristics compressive strength (fck ) = 40.0 N/mm2
Unit weight of concrete = 25 kN/m3
Modulus of elasticity of concrete = 31.0 kN/mm2
HYSD steel (Ref: IS 1786 – 1985)
Characteristics strength/Yield strength (fy) = 415.0N/mm2
A.3.2Design data
C/C of girder = 2.300 m
Overall width of deck slab = 4.800 m
Thickness of deck slab = 0.220 m (Ref: cl.16.9.6.1 of IRS Con.
Bridge code -2004)
Width of flange = 0.750 m
Thickness of web of girder = 0.300 m (Ref: cl.16.9.6.2 of IRS
Con. Bridge code -2004)
A.3.3 Load calculations
A.3.3.1 Cantilever slab
Dead load (DL)
Deck slab = 1 x 0.22 x 25 = 5.5 kN/m
Super imposed dead load (SIDL)
Ballast retainer = 0.15 x 0.75 x 25 = 2.81 kN
Wearing coat = 1 x 0.08 x 22 = 1.76 kN/m
Ballast = 1 x 0.6 x 19 = 11.4 kN/m
Live load (LL) due to PQRS
(Ref: IRS Bridge Rules cl. 2.3.4.2, cl. 2.15 and Appendix - X)
Calculations for section at B – B
Effective width method (Ref: IS 456: 2000 cl. 24.3.2)
Concentrated load (W) = 98.1 kN
a1= 0.211 m, a = 0.81 m
bef = 1.2 a1 + a = 1.0632 m
Distance of concentrated load from end (x1) = 0.5 m
Distance between concentrated loads parallel to supported
edge(x2) = 2.5 m
Overhang (bef /2 - x1) = 0.0316 m
Overlap (bef - x2) = 0 m
e = 2bef - Overhang – Overlap = 2.0948 m
Effective load including impact (1.44 W/e) = 67.44 kN.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 602
A.3.3.2 Interior panel
Dead load (DL)
Deck slab = 1 x 0.22 x 25 = 5.5 kN/m2
Super imposed dead load (SIDL)
Wearing coat = 1 x 0.08 x 22 = 1.76 kN/m2
Ballast = 1 x 0.6 x 19 = 11.4 kN/m2
Track = 3.87 kN/m2
Live load (LL) due to heaviest axle of MBG loading
Concentrated load = 245.2 kN
Derailment load
(Ref: IRS Bridge Rules cl. 2.14 and Appendix IX)
Concentrated load = 100.0 kN
A.3.4 Bending moment calculations
A.3.4.1 Cantilever slab
Table A.23: Bending moment for cantilever slab
BM due to At section B - B
Load
(kN)
Span
(m)
Moment
(kN - m)
DL
Deck slab 5.5 0.875 2.11
SIDL
Ballast retainer 2.813 0.8 2.25
Wearing coat 1.76 0.725 0.46
Ballast 11.4 0.725 3.00
LL 67.44 0.211 14.23
A.3.4.2 Interior panel
Bending moment due to DL and SIDL (Pigeaud’s theory)
Panel size L = 6.02 m, B = 2.0 m
Total dead load (W) = 22.53 x 6.02 x 2.0 = 271.3 kN
Constant k and (1/k)
k= (short span/long span = B/L) = 0.33
(1/k) = 3.01
Assuming Poisson’s ratio = 0.15
m1 and m2 from graph
m1 = 0.04, m2 = 0.003
Moment along short span = (m1 + 0.15 x m2) W = 10.97 kN -
m
Moment along long span = (m1 x 0.15 + m2) W = 2.44 kN.
Bending moment due to LL (Pigeaud’s theory)
MBG Loading - with type - I sleepers
(Ref: IRS Bridge Rules cl. 2.3.4.1 and cl. 2.3.4.2)
Figure A.21: MBG Loading - with type - I sleepers
Figure A.22: Interior slab panel
Panel size L = 6.02 m, B = 2.0 m, U = 2.0 m, V = 0.734 m
Effective load on panel (W) = (245.2 x 1.44 x2.0/3.225) =
219.0 kN
k=(short span/long span = B/L) = 0.33
Assuming Poisson’s ratio = 0.15
m1 and m2 from graph for U/B = 1 and V/L = 0.12
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 603
Figure A.23: Graph for m1 and m2
m1 = 0.10, m2 = 0.05
Moment along short span = (m1 + 0.15 x m2) W = 23.54 kN -
m
Moment along long span = (m1 x 0.15 + m2) W = 14.24 kN –
m
Bending moment due to Derailment load (Pigeaud’s theory)
Panel size L = 6.02 m, B = 2.0 m, U = 0.48 m, V = 0.48 m
Effective load on panel (W) = (1.44 x 100) = 144.0 kN
k=(short span/long span = B/L) = 0.33
Assuming Poisson’s ratio = 0.15
m1 and m2 from graph for U/B = 0.24 and V/L = 0.08
m1 = 0.22, m2 = 0.14
Moment along short span = (m1 + 0.15 x m2) W = 34.70 kN -
m
Moment along long span = (m1 x 0.15 + m2) W = 24.91 kN –
m
A.3.5 Design of Deck slab
Overall depth of slab = 220 mm
Clear cover = 30 mm
Dia of bar = 12 mm
Effective depth of slab (d) = 184 mm
Width of slab (b) = 1000 mm
A.3.5.1 Cantilever slab
Design BM due to ultimate load (M) = 43.0 kN.m
(2 SIDL + 1.4 DL + 2 LL)
Ultimate moment of resistance (0.15 fck b d2) = 203.14
kN.m
(Ref: IRS Con. Br. Code cl.15.4.2.2.1)
The overall depth provided is adequate and section is under
reinforced.
Area of main reinforcement (As) = 676 mm2
C/C spacing of main bars = 167.3 mm
Provide 12 mm bar @150 mm c/c
A.3.5.2 Interior panel
Calculation of reinforcement along short span
Design BM due to ultimate load (M) = 69.03 kN.m
(2 SIDL + 1.4 DL + 2 LL)
Ultimate moment of resistance (0.15 fck b d2) = 203.14
kN.m
(Ref: IRS Con. Br. Code cl. 15.4.2.2.1)
The overall depth provided is adequate and section is under
reinforced.
Area of main reinforcement (As) = 1116 mm2
C/C spacing of main bars = 101.3 mm
Provide 12 mm # bars @ 90 mm c/c
Calculation of reinforcement along long span
Design BM due to ultimate load (M) = 33.35 kN.m
(2 SIDL + 1.4 DL + 2 LL)
Ultimate moment of resistance (0.15 fck b d2) = 177.5 kN.m
(Ref: IRS Con. Br. Code cl. 15.4.2.2.1)
The overall depth provided is adequate and section is under
reinforced.
Area of main reinforcement (As) = 560 mm2
C/C spacing of main bars = 202.0 mm
Provide 12 mm # bars @ 120 mm c/c
Shrinkage and temperature reinforcement (minimum
reinforcement)
(Ref: IRS Con. Br. Code cl. 15.9.9)
As >= Kr (Ac - 0.5 Acor)
Kr = 0.005
Ac (Area of gross concrete section) = 220000 mm2
Acor (Core area of concrete) = 0
As = 1100 mm2
Shrinkage and temperature reinforcement (minimum
reinforcement) shall be distributed uniformly around the
d
bd
f
A
f
A
f
M
ck
s
y
s
y
u 
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1
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1
1
87
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0
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072
© 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 604
perimeter of the concrete section and spaced at not more
than 150 mm.
Area of reinforcement required at each face o deck slab(As/
2) = 550 mm2
C/C spacing of 10 # bars = 142.80 mm
CONCLUSION
The accuracy of software is primary requirement of any
software development work. To validate the results of
software, the analysis and design of 4.8-meter-wide deck
slab PSC of railway bridge is done by hand calculations and
results are presented in paper. The analysis and design
results for various components of this bridge are also
obtained by the software. The results of software are in
conformity with results obtained by hand calculations. So it
can be concluded that the accuracy of software is beyond
doubt. It is possible to design another bridge with different
span, loading standard and design data, without rigorous
hand calculations, with the help of software. The detailed
design report can be obtainedfromsoftwareandcanbeused
without further formatting. It meansthesoftwareisuseful in
saving time and effort during accurate analysisanddesign of
railway bridges.
REFERENCES
1. Anil kumar H and B S Suresh Chandra (2015),
“Flexural Behaviour of Longitudinal Girders of RC T-
Beam Deck Slab Bridge”, Int. J. for Sci. Res. & Develop.,
Volume 3, Issue 5, pp. 639-642, Available at:
http://www.ijsrd.com/articles/IJSRDV3I50447.pdf.
2. Budi Ryanto Widjaja (1997), “Analysis and Design of
Steel Deck– Concrete Composite Slabs”, Ph. D,
Polytechnic Institute and State University, Virginia
Tech., Available at:
https://vtechworks.lib.vt.edu/handle/10919/307 59.
3. Haymanmyintmaung and Kyawlinnhtat (2011),
“Investigation of Integral BridgeEffectunderDynamic
Loading”, Int. J. of Sci. and Res. Publi., Volume 7, Issue
5, pp. 567-574, Available at:
http://www.ijsrp.org/research- paper-0517/ijsrp-
p6565.pdf.
4. Ibrahim S. I. Harba (2011), “Effect of Skew Angle on
Behavior of Simply Supported R. C. T-Beam Bridge
Decks”, ARPN J. of Engg. and Appli. Sci., Volume 6,
Issue 8, pp. 1-14, Available
at:http://www.arpnjournals.com/jeas/research_pape
rs/rp_2011/jeas_0811_532.pdf.
5. Kearthi. S, Kalpana Mohan Sivasubramanian.S. L,
Deepan. R and Gopinath. M (2016), “Analysis of T –
Beam Bridge Deck Slab”, Int.J. of Res. and Innov. in
Engg. Tech., Volume 2, Issue 12, pp. 22–27, Available
at: https://www.researchgate.net/publication/3051
13203_ANALYSIS_OF_T_-_BEAM_BRIDGE_DECK_SLAB.
6. Kalpana Mohan and S. P. Vijay Kumar (2016),
“Analysis of Bridge Girder with Beam and Without
Beam”, Int. J. of Civil Engg. and Tech., Volume 7, Issue
5, pp. 337–346, Available at:
http://www.iaeme.com/MasterAdmin/Journal_uploa
ds/IJCIET/VOLUME_7_ISSUE_5/IJCIET_07_05_038.pdf.
7. Lindsay Edward Klein Piers (2006), “Finite Element
Analysis of a Composite Bridge Deck”, Ph.D.
dissertation, Dept. of Engineering &
Surveying Research Project, University of Southern
Queensland, Available at:
https://core.ac.uk/download/pdf/11036283.pdf.

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Software Development for Railway Bridge Deck Slab Using IRS Code

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 599 Software Development for Railway Bridge Deck Slab Using IRS Code Manmohan Sharma1, Shashikant Dhobale2 M.E Scholar1, Assistant Professor2 Department of Civil Engineering, Jawaharlal Institute of Technology, Borawan, Khargone ----------------------------------------------------------------------***--------------------------------------------------------------------- ABSTRACT Visual Basic has recently emerged as one of the most frequently utilized event-driven programming languages in the world. An event-driven language respondstoeventslikeas pressing a button, selecting an item from a list, navigating away from a control, and so on. Many programmes written in the Visual Basic programming languageareeffectively usedin the banking and finance industries. The Visual Basiclanguage has a lot of promise for developing software for the analysis and design of civil engineering structures. from traditional, linear programming approaches. The software isbasedonthe idea that we must define the section, material of the bridge component, and apply the load that will have the most unfavorable effect on the component over its service life. The software will do calculations for stresses, deflection, and reinforcement. These stresses and deflectionsshouldbe within the limits allowed by the appropriate IRS and IS codes. If the calculated values of stresses and deflection do not fall within acceptable limits, the section must be altered and the analysis procedure must be restarted. This exercise must be repeated until the safe section of the bridge component is reached. Keywords– Railway bridge, IRSCode,softwaredevelopment. INTRODUCTION The deck slab of a railway bridge must be designed to meet the relevant wide gauge loading requirement. For analysis and design purposes, the deck slab is separated into two parts: cantilever slab and internal panel. For concentrated loads due to PQRS loading, the cantilever section of the deck slab must be assessed using the effective width approach as specified in clause 24.3.2 of IS 456:2000. The inside panel of the deck slab is monolithic and continuous, made of PSC girder and diaphragm. The inside panel is susceptible to concentrated loads from train wheels as well as derailment loads in the event of a train derailment over a bridge. There are two ways for analysing such slabs: Pigeaud's theoryand Westergaard'stheory.Pigeaud'stheory is used toassess the inside panel in this project. Thesoftware was created to analyse and design deck slabs. OBJECTIVE Software Development for Railway Bridge Deck Slab Using IRS CODES. METHODOLOGY In define section of software following inputs are to be provided. (a) Design data The following design data are to be provided as input in define section of the software. We have to click the Define button on menu bar to access the define section. • Length of span • Distance between centre line of bearings (Effective span) • Overall length of deck slab • Centre to centre spacing of girders • No. of diaphragms • Thickness of end diaphragm • Thickness of intermediate diaphragm • Out to out distance of girder flanges • Overall width of deck slab (b) Material properties The material properties of Concrete are considered as per cl.5 of IRS Concrete Bridge code – 2004 and material properties of HYSD bars are considered as per IS 1786 – 1985. The materials properties are to be defined in define section of the software. We have to click on Accept button on the Design data form to access the material propertiesform. The GUI of material properties form is illustrated in Figure 4.2. We have to select exposure condition, grade of concrete and grade of steel from combo box. The material properties will be provided by data base. (c) Section The section of deck slab is to be defined in define section of the software. We have to click on Accept button on the material properties form to access the section form.TheGUI
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 600 of section form is illustrated in Figure 4.7. We have to enter dimensions of deck slab, ballast retainer in input boxes. (d) Loading As per cl. 2.1 of IRS Bridge Rules, the following loads are considered for the purpose of analysis and design of deck slab.  Dead Load (DL)  Super Imposed Dead Load (SIDL)  Super imposed dead load includesloadduetotrack, ballast, wearing coat and ballast retainer.  Live Load (LL) The live load is to be considered as per cl. 2.3.4.1 and cl. 2.3.4.2 of IRS Bridge rules for relevant loading standard.  Dynamic Augment (I) The dynamic augment is considered as per cl.2.4.2.1 of IRS Bridge rules for relevant loading standard. In case of ballasted deck slab bridges, Coefficient of Dynamic Augment = [2-(d/0.9)] x [0.15 + 8/(6+L)] x 0.5 Here, d = depth of ballast cushion in metres L = Loaded length of span in metres  PQRS loading The PQRS loading is considered as per cl. 2.15 of IRS Bridge rules for analysis and design of cantilever slab  Derailment load The Derailment load is considered as per cl. 2.14 of IRS Bridge rules for analysis and design of interior panel. The loading on deck slab is to be defined in define section of the software. We have to click on Accept button on the section form to access define loading form. The GUIofdefine loading form is illustrated in Figure 4.7. (e) Analysis On completion of define process, we have to click the Analysis button on menu bar and select deck slab to access the analysis section of deck slab. In analysis section of software all calculations are performed by the software on clicking of Calculate button. Load and moment calculations The GUI of Load and moment calculations form is illustrated in Figure 5.1. Click on Calculate button to calculate Load and moment. ANALYSIS AND DESIGN OF RCC DECK SLAB AND DIAPHRAGM Description Value Unit Reference GENERAL : The super structure consists of the precast PSC (post tensioned) girder and cast in situ deck slab. The various assumptions made in the design and specification used are as below CONCRETE cl. 5 of IRS Concrete Bridge code - 2004 Exposure condition - moderate Grade of concrete used for PSC girder and RCC deck slab = M- 40 Characteristics compressive strength (fck ) 40.0 N/mm 2 cl.5.1 & Table 2 of IRS Concrete Bridge code -2004 Unit weight of concrete 25.0 KN/m3 Modulus of elasticity of concrete 31.0 KN/mm 2 cl. 5.2.2.1 of IRS Con. Bridge code - 2004 HYSD steel IS 1786 - 1985 Fe 415 Grade HYSD bars to be used for RCC works Characteristics strength/Yield strength (fy) 415.0 N/mm2 Modulus of elasticity of Steel 200.0 KN/mm2 Loading standard - MBG Loading - 1987 Item No. Description Value Unit Reference 1.1 DESIGN DATA Clear span (L) 12.200 m C/C of bearing (L1) 12.850 m Overall length of girder (L2) 13.360 m Overall length of slab (L3) 14.160 m C/C distance of expansion joint of pier 14.200 m Distance of widening point from bearing 2.055 m C/C of girder 2.300 m Formation level 291.541 m (As per approved L.S.) Thickness of deck slab 0.220 m cl.4.6.2.1 of IRS Con. Bridge code -2004 Depth of girder 1.450 m Depth of flange 0.150 m Depth of slope portion of flange 0.050 m Width of flange 0.750 m Thickness of web of girder 0.300 m Uniform depth of web below flange 0.925 m Slope depth of bottom bulb of girder 0.150 m Uniform depth of bottom bulb of girder 0.175 m Width of bottom bulb of girder 0.500 m No of girder per bridge 2 Nos Out to out distance of flange of all girder 3.050 m Hence overall length of diaphragm 3.050 m Depth of diaphragm 1.275 m Thickness of intermediate diaphragm 0.300 m Thickness of end diaphragm 0.510 m Overall width of deck slab 4.800 m Effective width of flange of T - beam 2.400 m cl.15.4.1.2 of IRS Con Bridge code -2004 Partial load factor (YfL) cl.11.3 & Table 12 of IRS Concrete Bridge code -2004 Partial safety factor for steel (Ym) 1.15 cl.12.4.3 of IRS Con. Bridge code -2004 Partial safety factor for concrete (Ym) (Ultimate Limit State) 1.50 cl.12.4.3 of IRS Con. Bridge code -2004 Partial safety factor for concrete (Ym) (Serviceability Limit State) 1.25 cl.12.4.2 of IRS Con. Bridge code -2004
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 601 DESIGN OF RCC DECKSLAB Overall depth of slab = 220 mm Clearcover= 30 mm Diaof bar= 12 mm Effective depth of slab (d) = 184 mm Width of slab (b) = 1000 mm Characteristics compressive strength (fck ) 40 N/mm 2 Characteristics strength/Yield strength (fy) 415 N/mm2 A. CANTILEVERSLAB Design BM(Mu) = 42.82 kN.m (2SIDL+1.4DL+2LL) Ultimate moment of resistance (0.15fck b d2 ) = 203.14 kN.m (Ref: IRS Con. Br. Code cl. 15.4.2.2.1) The overall depth provided is adequate and section is underreinforced. Areaof main reinforcement (As) = 676 mm2 c/cspacing of main bars = 167.30 mm Provide 12 mm bar@150mm c/c d bd f A f A f M ck s y s y u           1 . 1 1 87 . 0 VALIDATION OF SOFTWARE A.3 ANALYSIS AND DESIGN OF DECK SLAB A.3.1 Material properties Concrete (Ref: cl.5 of IRS Concrete Bridge code – 2004) Exposure condition - Severe Characteristics compressive strength (fck ) = 40.0 N/mm2 Unit weight of concrete = 25 kN/m3 Modulus of elasticity of concrete = 31.0 kN/mm2 HYSD steel (Ref: IS 1786 – 1985) Characteristics strength/Yield strength (fy) = 415.0N/mm2 A.3.2Design data C/C of girder = 2.300 m Overall width of deck slab = 4.800 m Thickness of deck slab = 0.220 m (Ref: cl.16.9.6.1 of IRS Con. Bridge code -2004) Width of flange = 0.750 m Thickness of web of girder = 0.300 m (Ref: cl.16.9.6.2 of IRS Con. Bridge code -2004) A.3.3 Load calculations A.3.3.1 Cantilever slab Dead load (DL) Deck slab = 1 x 0.22 x 25 = 5.5 kN/m Super imposed dead load (SIDL) Ballast retainer = 0.15 x 0.75 x 25 = 2.81 kN Wearing coat = 1 x 0.08 x 22 = 1.76 kN/m Ballast = 1 x 0.6 x 19 = 11.4 kN/m Live load (LL) due to PQRS (Ref: IRS Bridge Rules cl. 2.3.4.2, cl. 2.15 and Appendix - X) Calculations for section at B – B Effective width method (Ref: IS 456: 2000 cl. 24.3.2) Concentrated load (W) = 98.1 kN a1= 0.211 m, a = 0.81 m bef = 1.2 a1 + a = 1.0632 m Distance of concentrated load from end (x1) = 0.5 m Distance between concentrated loads parallel to supported edge(x2) = 2.5 m Overhang (bef /2 - x1) = 0.0316 m Overlap (bef - x2) = 0 m e = 2bef - Overhang – Overlap = 2.0948 m Effective load including impact (1.44 W/e) = 67.44 kN.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 602 A.3.3.2 Interior panel Dead load (DL) Deck slab = 1 x 0.22 x 25 = 5.5 kN/m2 Super imposed dead load (SIDL) Wearing coat = 1 x 0.08 x 22 = 1.76 kN/m2 Ballast = 1 x 0.6 x 19 = 11.4 kN/m2 Track = 3.87 kN/m2 Live load (LL) due to heaviest axle of MBG loading Concentrated load = 245.2 kN Derailment load (Ref: IRS Bridge Rules cl. 2.14 and Appendix IX) Concentrated load = 100.0 kN A.3.4 Bending moment calculations A.3.4.1 Cantilever slab Table A.23: Bending moment for cantilever slab BM due to At section B - B Load (kN) Span (m) Moment (kN - m) DL Deck slab 5.5 0.875 2.11 SIDL Ballast retainer 2.813 0.8 2.25 Wearing coat 1.76 0.725 0.46 Ballast 11.4 0.725 3.00 LL 67.44 0.211 14.23 A.3.4.2 Interior panel Bending moment due to DL and SIDL (Pigeaud’s theory) Panel size L = 6.02 m, B = 2.0 m Total dead load (W) = 22.53 x 6.02 x 2.0 = 271.3 kN Constant k and (1/k) k= (short span/long span = B/L) = 0.33 (1/k) = 3.01 Assuming Poisson’s ratio = 0.15 m1 and m2 from graph m1 = 0.04, m2 = 0.003 Moment along short span = (m1 + 0.15 x m2) W = 10.97 kN - m Moment along long span = (m1 x 0.15 + m2) W = 2.44 kN. Bending moment due to LL (Pigeaud’s theory) MBG Loading - with type - I sleepers (Ref: IRS Bridge Rules cl. 2.3.4.1 and cl. 2.3.4.2) Figure A.21: MBG Loading - with type - I sleepers Figure A.22: Interior slab panel Panel size L = 6.02 m, B = 2.0 m, U = 2.0 m, V = 0.734 m Effective load on panel (W) = (245.2 x 1.44 x2.0/3.225) = 219.0 kN k=(short span/long span = B/L) = 0.33 Assuming Poisson’s ratio = 0.15 m1 and m2 from graph for U/B = 1 and V/L = 0.12
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 603 Figure A.23: Graph for m1 and m2 m1 = 0.10, m2 = 0.05 Moment along short span = (m1 + 0.15 x m2) W = 23.54 kN - m Moment along long span = (m1 x 0.15 + m2) W = 14.24 kN – m Bending moment due to Derailment load (Pigeaud’s theory) Panel size L = 6.02 m, B = 2.0 m, U = 0.48 m, V = 0.48 m Effective load on panel (W) = (1.44 x 100) = 144.0 kN k=(short span/long span = B/L) = 0.33 Assuming Poisson’s ratio = 0.15 m1 and m2 from graph for U/B = 0.24 and V/L = 0.08 m1 = 0.22, m2 = 0.14 Moment along short span = (m1 + 0.15 x m2) W = 34.70 kN - m Moment along long span = (m1 x 0.15 + m2) W = 24.91 kN – m A.3.5 Design of Deck slab Overall depth of slab = 220 mm Clear cover = 30 mm Dia of bar = 12 mm Effective depth of slab (d) = 184 mm Width of slab (b) = 1000 mm A.3.5.1 Cantilever slab Design BM due to ultimate load (M) = 43.0 kN.m (2 SIDL + 1.4 DL + 2 LL) Ultimate moment of resistance (0.15 fck b d2) = 203.14 kN.m (Ref: IRS Con. Br. Code cl.15.4.2.2.1) The overall depth provided is adequate and section is under reinforced. Area of main reinforcement (As) = 676 mm2 C/C spacing of main bars = 167.3 mm Provide 12 mm bar @150 mm c/c A.3.5.2 Interior panel Calculation of reinforcement along short span Design BM due to ultimate load (M) = 69.03 kN.m (2 SIDL + 1.4 DL + 2 LL) Ultimate moment of resistance (0.15 fck b d2) = 203.14 kN.m (Ref: IRS Con. Br. Code cl. 15.4.2.2.1) The overall depth provided is adequate and section is under reinforced. Area of main reinforcement (As) = 1116 mm2 C/C spacing of main bars = 101.3 mm Provide 12 mm # bars @ 90 mm c/c Calculation of reinforcement along long span Design BM due to ultimate load (M) = 33.35 kN.m (2 SIDL + 1.4 DL + 2 LL) Ultimate moment of resistance (0.15 fck b d2) = 177.5 kN.m (Ref: IRS Con. Br. Code cl. 15.4.2.2.1) The overall depth provided is adequate and section is under reinforced. Area of main reinforcement (As) = 560 mm2 C/C spacing of main bars = 202.0 mm Provide 12 mm # bars @ 120 mm c/c Shrinkage and temperature reinforcement (minimum reinforcement) (Ref: IRS Con. Br. Code cl. 15.9.9) As >= Kr (Ac - 0.5 Acor) Kr = 0.005 Ac (Area of gross concrete section) = 220000 mm2 Acor (Core area of concrete) = 0 As = 1100 mm2 Shrinkage and temperature reinforcement (minimum reinforcement) shall be distributed uniformly around the d bd f A f A f M ck s y s y u           1 . 1 1 87 . 0
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 10 Issue: 03 | Mar 2023 www.irjet.net p-ISSN: 2395-0072 © 2023, IRJET | Impact Factor value: 8.226 | ISO 9001:2008 Certified Journal | Page 604 perimeter of the concrete section and spaced at not more than 150 mm. Area of reinforcement required at each face o deck slab(As/ 2) = 550 mm2 C/C spacing of 10 # bars = 142.80 mm CONCLUSION The accuracy of software is primary requirement of any software development work. To validate the results of software, the analysis and design of 4.8-meter-wide deck slab PSC of railway bridge is done by hand calculations and results are presented in paper. The analysis and design results for various components of this bridge are also obtained by the software. The results of software are in conformity with results obtained by hand calculations. So it can be concluded that the accuracy of software is beyond doubt. It is possible to design another bridge with different span, loading standard and design data, without rigorous hand calculations, with the help of software. The detailed design report can be obtainedfromsoftwareandcanbeused without further formatting. It meansthesoftwareisuseful in saving time and effort during accurate analysisanddesign of railway bridges. REFERENCES 1. Anil kumar H and B S Suresh Chandra (2015), “Flexural Behaviour of Longitudinal Girders of RC T- Beam Deck Slab Bridge”, Int. J. for Sci. Res. & Develop., Volume 3, Issue 5, pp. 639-642, Available at: http://www.ijsrd.com/articles/IJSRDV3I50447.pdf. 2. Budi Ryanto Widjaja (1997), “Analysis and Design of Steel Deck– Concrete Composite Slabs”, Ph. D, Polytechnic Institute and State University, Virginia Tech., Available at: https://vtechworks.lib.vt.edu/handle/10919/307 59. 3. Haymanmyintmaung and Kyawlinnhtat (2011), “Investigation of Integral BridgeEffectunderDynamic Loading”, Int. J. of Sci. and Res. Publi., Volume 7, Issue 5, pp. 567-574, Available at: http://www.ijsrp.org/research- paper-0517/ijsrp- p6565.pdf. 4. Ibrahim S. I. Harba (2011), “Effect of Skew Angle on Behavior of Simply Supported R. C. T-Beam Bridge Decks”, ARPN J. of Engg. and Appli. Sci., Volume 6, Issue 8, pp. 1-14, Available at:http://www.arpnjournals.com/jeas/research_pape rs/rp_2011/jeas_0811_532.pdf. 5. Kearthi. S, Kalpana Mohan Sivasubramanian.S. L, Deepan. R and Gopinath. M (2016), “Analysis of T – Beam Bridge Deck Slab”, Int.J. of Res. and Innov. in Engg. Tech., Volume 2, Issue 12, pp. 22–27, Available at: https://www.researchgate.net/publication/3051 13203_ANALYSIS_OF_T_-_BEAM_BRIDGE_DECK_SLAB. 6. Kalpana Mohan and S. P. Vijay Kumar (2016), “Analysis of Bridge Girder with Beam and Without Beam”, Int. J. of Civil Engg. and Tech., Volume 7, Issue 5, pp. 337–346, Available at: http://www.iaeme.com/MasterAdmin/Journal_uploa ds/IJCIET/VOLUME_7_ISSUE_5/IJCIET_07_05_038.pdf. 7. Lindsay Edward Klein Piers (2006), “Finite Element Analysis of a Composite Bridge Deck”, Ph.D. dissertation, Dept. of Engineering & Surveying Research Project, University of Southern Queensland, Available at: https://core.ac.uk/download/pdf/11036283.pdf.