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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2842
“Design and Analysis of River Bridge Deck Slab at
Vangani-Karav-Pashane”
Diksha Kamble1, Vedika Kadav2, Rohit Kharat3, Vishwas Dhas4,Prof. Reetika Sharan5,
Prof. Reshma Shaikh6
1,2,3,4Under Graduate, Dept. of Civil Engineering, DRIEMS Neral.
5Prof. Reetika Sharan &Prof. Reshma Shaikh, Dept. of Civil Engineering, DRIEMS Neral, Maharashtra, India.
----------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - The work on designing of proposed reinforced
concrete deck slab of bridge across Ulhas River at vangani-
karav-pashane was carried out. A simple reinforced concrete
deck slab is analysed using working stress method and results
are presented in this paper. The main function of deck slab is
to improve the distribution of the trafficloadsamongthemain
beams and to increase the lateralstabilityofthestructure. The
deck slab is generally designed for two lane of IRC class A
loading. The deck slab is proposed as two lanes having clear
roadway width between the kerbs as 6.8m. This design of deck
slab of riverbridge has been proposed to facilitate ease of
commuting.
Key Words: Deck slab, class A loading, staad.pro V8i,
stresses on slab, shear force and moment on slab.
1. INTRODUCTION
According to this, the bridge (deck slab)at“ULHASRIVER”is
built for the betterment of the people living at karav-
pashane. Because of natural calamities such as rain the deck
slab is being deteriorate and it hasbecomedangerous for the
local people to go across the rivertoschools,colleges,offices,
etc. this is the initiative to make the deck slab, so the local
people to travel safely to near-by areas. As in case of design,
span length, live load and impact load are always important
factor. The analysis of deck slab of a river bridge is studied
analytically by working stress method and by using
STAAD.pro software. The analysis is done by IRC class A
loading for live loading. The combination of STAAD.pro and
STAAD.beava can make bridge design and analysis easier.
STAAD.pro is first used to constructthebridgegeometry and
STAAD.beava is used to find load positions that will create
the maximum load response.
1.1 STATEMENT OF PROBLEM
The deck slab of bridge on ulhas river is with rapid
increase in vehicle users and decreasing life span of this
bridge deck slab is damaged internally and reinforcement
steel get corroded. So in order to make the traffic flow
continuous and also avoid accidents, a new deck slab should
be constructed across the major river. This is the only
solution to elimination of such problem. The substructurei.e,
piers, abutments, etc due to age of structure and increasing
river water pressure become deteriorated, so we are
designing deck slab.
1.2 LITERATURE REVIEW
( kushwah kapil, M Nivedhitha, singh. R Robert, 2018) has
deck with the comprarative study on behavior of simply
supportedRC T- beam bridgeunderIRCAAclassloading.The
study is based on analyticalmodelingofRCT-beambridgeby
STAAD pro V8i for different spans & also calculated the max
shear force, bending moment, deflection in girder & max
stresses & support reaction with analytical solution is
studied. (Patil sudarshan,2017) this paper studied the
analysis of super structure of different sections and spans is
carried out by courben’s method using MS Excel and load
carrying capacity as the T-beam bridge is analysed for both
IRC class AA and class A loading.(H Tanushree, 2016) their
study stated that simply single spans, two lanes RCC and PSC
slab bridge deck are analysed using finite element methods
and results are compared to the reference analytic solution
for dead load, IRC class AA loading. ( E.salakawy, 2015) has
conducted study of new highway bridge was constructed
using FRP bars as reinforced for concrete deck slab. He work
on to overcome related problem, the steel reinforced should
be protected from corrosion, or replaced with alternative
non-corroding materials.
1.3 OBJECTIVE OF THE WORK
In this paper a comparative study on the behavior of simple
deck slab under standard IRC i.e. a class loading.Thestudyis
based on analytical calculation of a deck slab andchecked by
STAAD.pro V8i and calculate maximum shear force,bending
moment, deflection and beam stresses in deck slab.
2. PARAMETRIC STUDY
A simply supported, single span, two lanes RCC slab bridge
deck is considered. The bridge deck is analysed for the dead
load as well as one class of live load i.e. IRC class A tracked
loading and also for combination (DL+LL) of loads.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2843
Fig 1 Class a Loading
3. METHODOLOGY
 The bridge deck slab is designed by referring
IRC class A loading.
 Working stressed method is used for manually
calculation.
 The manual design is then compared with
STAAD PRO.V8i result for better results.
 This design of bridge deck slab has been
proposed to facilitate ease of commuting.
3.1 METHOD OF ANALYSIS
 Manual Analysis is done by working stress
method for IRC class A loading.
 Comparative study is carried out by using
STAAD.pro V8i software.
TABLE -1: DESCRIPTION OF DECK SLAB
SR
NO
BRIDGE DETAILS MEASUREMENTS
1 Design loading Class A loading ( 2 lane )
2 Type of deck slab Simple deck
3 Carriage way width 6.8m
4 Effective span 5.87m
4 Clear span 5.5m
5 No of span 21
6 Length of the bridge 117m
7 Wearing coat 80mm
Fig 1.1 perspective view of 5.5m span deck slab
Fig 1.2 Rendering view of 5.5m span deck slab
3.2 DESIGN CONSIDERATION
Design of bridge deck slab consists of determining the
following:
1. Stresses on deck slab
2. Maximum shear force
3. Maximum bending moment
4. Maximum deflection
DESIGN:
I. Clear width of carriage way = 6.8 m
II. Live load :IRC Class A loading
Use M20 concrete and Fe 250 steel
Fig.2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2844
Solution. Let the thickness of the slab be 400 mm.
Allowing an effective cover of 30 mm, effective depth of
the slab = 400 – 30 = 370 mm
Effective span = clear span + effective depth = 5.50 +
0.37 = 5.87 m
Let the average thickness of the wearing coat be 80 mm.
Overall width of bridge= 6.80 + 0.60 + 0.60=8.0 m
B. M. Calculations
Dead Loads
Weight of wearing coat = 80 × 23=1840 N/m2
Weight of slab = 400 × 24= 9600 N/m2
= 11440 N/m2
B. M. due to dead load, for a one meter wide strip
= [(11440 × 5.872) / 8] = 49270 Nm = 49.27 KNm
Since the clear width of the roadway is 6.8 metres,
provision is made for two lanes of traffic.
Clear distance g between two trains. This distance is to
be determined as follows:
For a clear width of roadway of 5.5 m,
g = 0.4 m
For a clear width of roadway of 7.5 m,
g = 1.2 m
For a clear width of roadway of 6.8 m
g = 0.4 + [(1.2 – 0.4)/ (7.5 – 5.5)] × (6.8 – 5.5) m
= 0.92 m
Minimum clearance f between the outer edge of the wheel
and the roadway face of the curb = 150 mm
Ground contact area
Width of contact area = W = 500 mm
Length of contact area = B = 250 mm
Distance between centres of wheels of two trains
= 0.92 + 0.50 = 1.42 m
Distance between roadway face of kerb and centre of
wheels
= 0.15 + (0.50/2) m = 0.40 m
For the maximum bending moment condition the heavy
loads namely axle loads of 114 KN will be placed
symmetrically with respect to the span.Forthisposition
of the heavy axle loads, the other wheel loads are off the
span. Fig. 3 shows the position of the heavy loads.
Fig.3
Impact factor = (4.5 / 6.0 + L) = (4.50 / 6.0 + 5.87) =
0.38
Distribution of concentrated load on slab
For a single concentrated load, the effectivewidthshall
be taken equal to
e = k x [l – (x/ l)] + W
In our case l = effective span = 5.87 m
x = Distance of load from the nearer support
= 2.335 m
k = constant depending on the ratio (l* / l)
l* = width of slab = 8 m
(l* / l) = (8 / 5.87) = 1.36
Referring to Table on page 1296
For (l*/ l) = 1.3 k = 2.72
For (l*/ l) = 1.4 k = 2.80
For (l*/ l ) = 3.36
k = 2.72 + [(2.80 – 2.72) / (1.4 – 1.3)] × (1.36 – 1.30) =
2.768
W = breath of concentration area
= width of type + 2 x thickness of wearing coat
= 0.50 + [2 × (8/100)] = 0.66 m
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2845
Effective width = e = 2.768 × 2.335 [1 – (2.335/5.87)] +
0.66 m = 4.55 m
This means the effective widths for heavy loads will
overlap.
Effective width for all the heavy loads
= (0.6 + 0.4) + 1.8 + 1.42 + 1.80 + 1.38 + 0.60 m
= 8 m
Load to be considered per m width
= [(2 × 1.114) / 8] = 28.5 KN
When the bridge is subjected to only one train of loads
the corresponding effective width
= 0.60 + 0.40 + 1.80 + (4.55 / 2) m = 5.075 m
Since the effective width is more, the critical conditionis
therefore the previous case viz. when both the train of
loads are present.
Dispersion of load along the span
Effective length of slab on which the wheel load acts
shall be taken as equal to the dimension of tyre contact
area over the wearing surface of the span plus twice the
overall depth of the slab inclusive of the thickness of the
wearing surface.
In our case the effective length on which the wheel load
is applied
= 250 + 2 × (400 + 80) = 1210 mm
= 1.21 m
But distance between wheels
= 1.20 m
The effective length of dispersion is almost equal to
wheel space.
The loading for a 1 m wide strip is therefore taken as
shown in Fig.4
Fig.4
Max bending moment = 28.5 × (5.87 / 2) – 28.5 ×
(1.2 / 2) m = 66.50 KNm
B.M. due to impact = 0.38 × 66.5 = 25.27 KNm
Total B.M per m width
= 49.27 + 66.5 + 25.27 = 141.04 KN-m
Equating the moment of resistance to the bending
moment,
1.213 bd2 = 1.213 x 1000 d2 = 141.04 x 108
⸫ d = 341 mm
Providing 18 mm Ф bars at a clear cover of 25 mm
Effective depth available
= 400 – 25 – 9 = 366 mm
Ast = [(141.40 × 106)/ (140 × 0.87×366)
= 3164 mm2
Spacing of 18 mm Ф bars = [(254 × 1000) / 3164] =
80.2 mm
Provide 18 mm Ф bars @ 80 mm c/c
Distribution of steel
Distribution steel should be computed for resisting 0.3
times the live load bending moment and 0.2 times the
dead load moment
⸫ B.M. for which the distribution steel should be
calculated
= 0.3 × (66.5 + 25.27) + 0.2 × (49.27)
= 37.385 KN m
If 12mm diameter bar be used, the effective depthtothe
centre of these bars.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2846
= 400 – 25 – 18 – 6 = 351 mm
Ast = [(37.385 × 106) /
(140×0.87×351)] = 875 mm2
⸫ spacing of 12 mm Ф bars = [(113×1000) / (875)] =
129 mm
Provide 12 mm ƒ bars @ 125 mm c/c
Shear
The greatest shear force will occur when the loads are
closest to the support.
Effective width of slab for load near the support
e = k x [1 – (x/l)] + W
= 2.768 × 0.6 [1 – (0.6/5.87)] + 0.66 m =2.15 m
Now also the effective widths will overlap. When both
trains are present, the effective width
= 0.6 + 0.4 + 1.8 + 1.42 + 1.8 + (2.15/2) m
= 7.095 m
⸫ load to be considered perm width
= [(2×114) / 7.095] = 32.1 KN
When the bridge is subjected to only one train of loads
the corresponding effective width
= 0.60 + 0.40 + 1.80 + (2.15 / 2) = 3.875 m
(This is more than for the case when both the trains are
present)
Effective width of slab for the second load
= e = k x [ 1 – (x/l)] + W = 2.768 × 1.8 ×
[1 – (1.8/5.87)] + 0.66 = 4.12 m
This shows that the effective widths of the two trains
will overlap.
⸫ Effective width when both trains are present
= 0.6 + 0.40 + 1.80 + 1.42 + 1.80 + 1.38 + 0.60
= 8 m
⸫ load per metre width
= [(2×114) / 8] = 28.5 KN
When the bridge carries only one train of loads, the
effective width will be still greater and this condition
that will not be considered.
Fig.5
Fig.5 shows the loading for which S.F is to be computed.
Vertical reaction at A = Va = [ (28.5 × 4.07 + 32.1 × 5.27)
/ 5.87] = 48.6 KN
S.F. due to L.L. = 48.6 KN
S.F. due to impact = 0.38 × 48.6 = 18.5 KN
S.F. due to DL = 1.44 × (5.87/ 2) = 33.6 KN
Max S.F. = 100.7 KN
Nominal shear stress τv= (S / b d) = [(100.7 × 103) /
(1000 × 366)] = 0.28 N/mm2
Percentage of steel = [31.64 / (1000 × 366)] × 100 =
0.86 %
For 0.86% steel, τc = 3.37 N/ mm2
Thickness of slab = 400 mm, k = 1
⸫ Permissible nominal shear stress
= k τc = 1 × 0.37 = 3.37 N/mm2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2847
Fig.6
Kerb
kerbs 0.6 metre or more in width shall be designed for a
live load of 4000 N / m and also a horizontal load of
7500 N/m run.
Design for vertical loads
D.L. of kerb = 0.6 × 0.7 × 24000 = 10080 N/m
Railing (assumed) = 600 N/m
Live load = 4000 × 0.6 × 1 = 2400 N/m
= 13080 N/m
Max B.M. = [(13080 × 5.872) / 8] = 56337 N/m
Effective depth available
= 700 – 25 – 9 (18 mm Ф bars) = 666 cm
Ast = [(56337 × 103) / (140 × 0.87 × 666)]
= 695 mm2
Provide 3 bars of 18 mm Ф
Design for horizontal loads
Horizontal load per metre run = 7500 N/m
B.M. due to horizontal load
= 7500 × (700 – 400) = 2250000 N mm
Effective depth = 600 – 30 = 570 mm
Ast = [2250000 / (140 × 0.87 × 570)]
= 32.4 mm2 (very small quantity)
Provide nominal 8 mm Ф vertical links at 250 mm c/c.
4. RESULTS
TABLE NO - 2 COMPARISON OF MANUALLY AND
STAAD.pro RESULTS
OUTPUT
PARAMETER
MANUALLY STAAD.pro
Shear force 100.2KN 131.72KN
Bending moment 141.04KN.m 149.9KN.m
Deflection 0 0
Beam stresses 48.6KN 60.45KN
5. SCOPE FOR FUTURE
The current status of the Vangani-Karav-Pashane river
bridge, it being deteriorated i.e. damaged due to the age of
structure and it is not safe in present. It was built 10 years
ago but a special team alloted for its constructionanddesign
so its design is not available. So we are designing these
bridge by working stress method as simply supported
bridge, and is going to implement the design in future.
6. CONCLUSIONS
 Analysis and design of the deck slab bridge as
per IRC codes can be easilydone bySTAAD.PRO
in connection with STAAD.beava.mechanismis
well understood.
 The designing by the software saves the design
time and by this way we can check the safety of
the structure very easily.
 It conclude that the principle top and bottom
stresses in deck slab more increses with
incresing span length.
REFERENCES
[1] R shreedhar,“comparative study of grillage and finite
element method of RCC bridge deck,” international
journal of scientific and engineering research,vol.4,no.
feb. 2013, p. 1 to 10, 2013.
[2] sudarshan prabhakar patil,”Analysis and design of RCC
T-girder bridge under IRC class AA and class A loading”
IJERMCE, vol 2, no. march 2017, p. 412 to 416, 2017.
[3] Robert singhR, “Analytical solution of deck slab for the
bridge across kosasthalaiyar river,”adv research in
dynamic and control systems, vol. 10, no. june 2018, p.
431 to 435, 2018.
[4] kapil kushwah, “Analysis of RC deck slab bridge for
varying span, “ IRJET, p. 1254 to 1257, feb 2018.

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IRJET- Design and Analysis of River Bridge Deck Slab at Vangani-Karav-Pashane

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2842 “Design and Analysis of River Bridge Deck Slab at Vangani-Karav-Pashane” Diksha Kamble1, Vedika Kadav2, Rohit Kharat3, Vishwas Dhas4,Prof. Reetika Sharan5, Prof. Reshma Shaikh6 1,2,3,4Under Graduate, Dept. of Civil Engineering, DRIEMS Neral. 5Prof. Reetika Sharan &Prof. Reshma Shaikh, Dept. of Civil Engineering, DRIEMS Neral, Maharashtra, India. ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - The work on designing of proposed reinforced concrete deck slab of bridge across Ulhas River at vangani- karav-pashane was carried out. A simple reinforced concrete deck slab is analysed using working stress method and results are presented in this paper. The main function of deck slab is to improve the distribution of the trafficloadsamongthemain beams and to increase the lateralstabilityofthestructure. The deck slab is generally designed for two lane of IRC class A loading. The deck slab is proposed as two lanes having clear roadway width between the kerbs as 6.8m. This design of deck slab of riverbridge has been proposed to facilitate ease of commuting. Key Words: Deck slab, class A loading, staad.pro V8i, stresses on slab, shear force and moment on slab. 1. INTRODUCTION According to this, the bridge (deck slab)at“ULHASRIVER”is built for the betterment of the people living at karav- pashane. Because of natural calamities such as rain the deck slab is being deteriorate and it hasbecomedangerous for the local people to go across the rivertoschools,colleges,offices, etc. this is the initiative to make the deck slab, so the local people to travel safely to near-by areas. As in case of design, span length, live load and impact load are always important factor. The analysis of deck slab of a river bridge is studied analytically by working stress method and by using STAAD.pro software. The analysis is done by IRC class A loading for live loading. The combination of STAAD.pro and STAAD.beava can make bridge design and analysis easier. STAAD.pro is first used to constructthebridgegeometry and STAAD.beava is used to find load positions that will create the maximum load response. 1.1 STATEMENT OF PROBLEM The deck slab of bridge on ulhas river is with rapid increase in vehicle users and decreasing life span of this bridge deck slab is damaged internally and reinforcement steel get corroded. So in order to make the traffic flow continuous and also avoid accidents, a new deck slab should be constructed across the major river. This is the only solution to elimination of such problem. The substructurei.e, piers, abutments, etc due to age of structure and increasing river water pressure become deteriorated, so we are designing deck slab. 1.2 LITERATURE REVIEW ( kushwah kapil, M Nivedhitha, singh. R Robert, 2018) has deck with the comprarative study on behavior of simply supportedRC T- beam bridgeunderIRCAAclassloading.The study is based on analyticalmodelingofRCT-beambridgeby STAAD pro V8i for different spans & also calculated the max shear force, bending moment, deflection in girder & max stresses & support reaction with analytical solution is studied. (Patil sudarshan,2017) this paper studied the analysis of super structure of different sections and spans is carried out by courben’s method using MS Excel and load carrying capacity as the T-beam bridge is analysed for both IRC class AA and class A loading.(H Tanushree, 2016) their study stated that simply single spans, two lanes RCC and PSC slab bridge deck are analysed using finite element methods and results are compared to the reference analytic solution for dead load, IRC class AA loading. ( E.salakawy, 2015) has conducted study of new highway bridge was constructed using FRP bars as reinforced for concrete deck slab. He work on to overcome related problem, the steel reinforced should be protected from corrosion, or replaced with alternative non-corroding materials. 1.3 OBJECTIVE OF THE WORK In this paper a comparative study on the behavior of simple deck slab under standard IRC i.e. a class loading.Thestudyis based on analytical calculation of a deck slab andchecked by STAAD.pro V8i and calculate maximum shear force,bending moment, deflection and beam stresses in deck slab. 2. PARAMETRIC STUDY A simply supported, single span, two lanes RCC slab bridge deck is considered. The bridge deck is analysed for the dead load as well as one class of live load i.e. IRC class A tracked loading and also for combination (DL+LL) of loads.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2843 Fig 1 Class a Loading 3. METHODOLOGY  The bridge deck slab is designed by referring IRC class A loading.  Working stressed method is used for manually calculation.  The manual design is then compared with STAAD PRO.V8i result for better results.  This design of bridge deck slab has been proposed to facilitate ease of commuting. 3.1 METHOD OF ANALYSIS  Manual Analysis is done by working stress method for IRC class A loading.  Comparative study is carried out by using STAAD.pro V8i software. TABLE -1: DESCRIPTION OF DECK SLAB SR NO BRIDGE DETAILS MEASUREMENTS 1 Design loading Class A loading ( 2 lane ) 2 Type of deck slab Simple deck 3 Carriage way width 6.8m 4 Effective span 5.87m 4 Clear span 5.5m 5 No of span 21 6 Length of the bridge 117m 7 Wearing coat 80mm Fig 1.1 perspective view of 5.5m span deck slab Fig 1.2 Rendering view of 5.5m span deck slab 3.2 DESIGN CONSIDERATION Design of bridge deck slab consists of determining the following: 1. Stresses on deck slab 2. Maximum shear force 3. Maximum bending moment 4. Maximum deflection DESIGN: I. Clear width of carriage way = 6.8 m II. Live load :IRC Class A loading Use M20 concrete and Fe 250 steel Fig.2
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2844 Solution. Let the thickness of the slab be 400 mm. Allowing an effective cover of 30 mm, effective depth of the slab = 400 – 30 = 370 mm Effective span = clear span + effective depth = 5.50 + 0.37 = 5.87 m Let the average thickness of the wearing coat be 80 mm. Overall width of bridge= 6.80 + 0.60 + 0.60=8.0 m B. M. Calculations Dead Loads Weight of wearing coat = 80 × 23=1840 N/m2 Weight of slab = 400 × 24= 9600 N/m2 = 11440 N/m2 B. M. due to dead load, for a one meter wide strip = [(11440 × 5.872) / 8] = 49270 Nm = 49.27 KNm Since the clear width of the roadway is 6.8 metres, provision is made for two lanes of traffic. Clear distance g between two trains. This distance is to be determined as follows: For a clear width of roadway of 5.5 m, g = 0.4 m For a clear width of roadway of 7.5 m, g = 1.2 m For a clear width of roadway of 6.8 m g = 0.4 + [(1.2 – 0.4)/ (7.5 – 5.5)] × (6.8 – 5.5) m = 0.92 m Minimum clearance f between the outer edge of the wheel and the roadway face of the curb = 150 mm Ground contact area Width of contact area = W = 500 mm Length of contact area = B = 250 mm Distance between centres of wheels of two trains = 0.92 + 0.50 = 1.42 m Distance between roadway face of kerb and centre of wheels = 0.15 + (0.50/2) m = 0.40 m For the maximum bending moment condition the heavy loads namely axle loads of 114 KN will be placed symmetrically with respect to the span.Forthisposition of the heavy axle loads, the other wheel loads are off the span. Fig. 3 shows the position of the heavy loads. Fig.3 Impact factor = (4.5 / 6.0 + L) = (4.50 / 6.0 + 5.87) = 0.38 Distribution of concentrated load on slab For a single concentrated load, the effectivewidthshall be taken equal to e = k x [l – (x/ l)] + W In our case l = effective span = 5.87 m x = Distance of load from the nearer support = 2.335 m k = constant depending on the ratio (l* / l) l* = width of slab = 8 m (l* / l) = (8 / 5.87) = 1.36 Referring to Table on page 1296 For (l*/ l) = 1.3 k = 2.72 For (l*/ l) = 1.4 k = 2.80 For (l*/ l ) = 3.36 k = 2.72 + [(2.80 – 2.72) / (1.4 – 1.3)] × (1.36 – 1.30) = 2.768 W = breath of concentration area = width of type + 2 x thickness of wearing coat = 0.50 + [2 × (8/100)] = 0.66 m
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2845 Effective width = e = 2.768 × 2.335 [1 – (2.335/5.87)] + 0.66 m = 4.55 m This means the effective widths for heavy loads will overlap. Effective width for all the heavy loads = (0.6 + 0.4) + 1.8 + 1.42 + 1.80 + 1.38 + 0.60 m = 8 m Load to be considered per m width = [(2 × 1.114) / 8] = 28.5 KN When the bridge is subjected to only one train of loads the corresponding effective width = 0.60 + 0.40 + 1.80 + (4.55 / 2) m = 5.075 m Since the effective width is more, the critical conditionis therefore the previous case viz. when both the train of loads are present. Dispersion of load along the span Effective length of slab on which the wheel load acts shall be taken as equal to the dimension of tyre contact area over the wearing surface of the span plus twice the overall depth of the slab inclusive of the thickness of the wearing surface. In our case the effective length on which the wheel load is applied = 250 + 2 × (400 + 80) = 1210 mm = 1.21 m But distance between wheels = 1.20 m The effective length of dispersion is almost equal to wheel space. The loading for a 1 m wide strip is therefore taken as shown in Fig.4 Fig.4 Max bending moment = 28.5 × (5.87 / 2) – 28.5 × (1.2 / 2) m = 66.50 KNm B.M. due to impact = 0.38 × 66.5 = 25.27 KNm Total B.M per m width = 49.27 + 66.5 + 25.27 = 141.04 KN-m Equating the moment of resistance to the bending moment, 1.213 bd2 = 1.213 x 1000 d2 = 141.04 x 108 ⸫ d = 341 mm Providing 18 mm Ф bars at a clear cover of 25 mm Effective depth available = 400 – 25 – 9 = 366 mm Ast = [(141.40 × 106)/ (140 × 0.87×366) = 3164 mm2 Spacing of 18 mm Ф bars = [(254 × 1000) / 3164] = 80.2 mm Provide 18 mm Ф bars @ 80 mm c/c Distribution of steel Distribution steel should be computed for resisting 0.3 times the live load bending moment and 0.2 times the dead load moment ⸫ B.M. for which the distribution steel should be calculated = 0.3 × (66.5 + 25.27) + 0.2 × (49.27) = 37.385 KN m If 12mm diameter bar be used, the effective depthtothe centre of these bars.
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2846 = 400 – 25 – 18 – 6 = 351 mm Ast = [(37.385 × 106) / (140×0.87×351)] = 875 mm2 ⸫ spacing of 12 mm Ф bars = [(113×1000) / (875)] = 129 mm Provide 12 mm ƒ bars @ 125 mm c/c Shear The greatest shear force will occur when the loads are closest to the support. Effective width of slab for load near the support e = k x [1 – (x/l)] + W = 2.768 × 0.6 [1 – (0.6/5.87)] + 0.66 m =2.15 m Now also the effective widths will overlap. When both trains are present, the effective width = 0.6 + 0.4 + 1.8 + 1.42 + 1.8 + (2.15/2) m = 7.095 m ⸫ load to be considered perm width = [(2×114) / 7.095] = 32.1 KN When the bridge is subjected to only one train of loads the corresponding effective width = 0.60 + 0.40 + 1.80 + (2.15 / 2) = 3.875 m (This is more than for the case when both the trains are present) Effective width of slab for the second load = e = k x [ 1 – (x/l)] + W = 2.768 × 1.8 × [1 – (1.8/5.87)] + 0.66 = 4.12 m This shows that the effective widths of the two trains will overlap. ⸫ Effective width when both trains are present = 0.6 + 0.40 + 1.80 + 1.42 + 1.80 + 1.38 + 0.60 = 8 m ⸫ load per metre width = [(2×114) / 8] = 28.5 KN When the bridge carries only one train of loads, the effective width will be still greater and this condition that will not be considered. Fig.5 Fig.5 shows the loading for which S.F is to be computed. Vertical reaction at A = Va = [ (28.5 × 4.07 + 32.1 × 5.27) / 5.87] = 48.6 KN S.F. due to L.L. = 48.6 KN S.F. due to impact = 0.38 × 48.6 = 18.5 KN S.F. due to DL = 1.44 × (5.87/ 2) = 33.6 KN Max S.F. = 100.7 KN Nominal shear stress τv= (S / b d) = [(100.7 × 103) / (1000 × 366)] = 0.28 N/mm2 Percentage of steel = [31.64 / (1000 × 366)] × 100 = 0.86 % For 0.86% steel, τc = 3.37 N/ mm2 Thickness of slab = 400 mm, k = 1 ⸫ Permissible nominal shear stress = k τc = 1 × 0.37 = 3.37 N/mm2
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2847 Fig.6 Kerb kerbs 0.6 metre or more in width shall be designed for a live load of 4000 N / m and also a horizontal load of 7500 N/m run. Design for vertical loads D.L. of kerb = 0.6 × 0.7 × 24000 = 10080 N/m Railing (assumed) = 600 N/m Live load = 4000 × 0.6 × 1 = 2400 N/m = 13080 N/m Max B.M. = [(13080 × 5.872) / 8] = 56337 N/m Effective depth available = 700 – 25 – 9 (18 mm Ф bars) = 666 cm Ast = [(56337 × 103) / (140 × 0.87 × 666)] = 695 mm2 Provide 3 bars of 18 mm Ф Design for horizontal loads Horizontal load per metre run = 7500 N/m B.M. due to horizontal load = 7500 × (700 – 400) = 2250000 N mm Effective depth = 600 – 30 = 570 mm Ast = [2250000 / (140 × 0.87 × 570)] = 32.4 mm2 (very small quantity) Provide nominal 8 mm Ф vertical links at 250 mm c/c. 4. RESULTS TABLE NO - 2 COMPARISON OF MANUALLY AND STAAD.pro RESULTS OUTPUT PARAMETER MANUALLY STAAD.pro Shear force 100.2KN 131.72KN Bending moment 141.04KN.m 149.9KN.m Deflection 0 0 Beam stresses 48.6KN 60.45KN 5. SCOPE FOR FUTURE The current status of the Vangani-Karav-Pashane river bridge, it being deteriorated i.e. damaged due to the age of structure and it is not safe in present. It was built 10 years ago but a special team alloted for its constructionanddesign so its design is not available. So we are designing these bridge by working stress method as simply supported bridge, and is going to implement the design in future. 6. CONCLUSIONS  Analysis and design of the deck slab bridge as per IRC codes can be easilydone bySTAAD.PRO in connection with STAAD.beava.mechanismis well understood.  The designing by the software saves the design time and by this way we can check the safety of the structure very easily.  It conclude that the principle top and bottom stresses in deck slab more increses with incresing span length. REFERENCES [1] R shreedhar,“comparative study of grillage and finite element method of RCC bridge deck,” international journal of scientific and engineering research,vol.4,no. feb. 2013, p. 1 to 10, 2013. [2] sudarshan prabhakar patil,”Analysis and design of RCC T-girder bridge under IRC class AA and class A loading” IJERMCE, vol 2, no. march 2017, p. 412 to 416, 2017. [3] Robert singhR, “Analytical solution of deck slab for the bridge across kosasthalaiyar river,”adv research in dynamic and control systems, vol. 10, no. june 2018, p. 431 to 435, 2018. [4] kapil kushwah, “Analysis of RC deck slab bridge for varying span, “ IRJET, p. 1254 to 1257, feb 2018.