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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1912
DESIGN OF THE SUPPORT STRUCTURE FOR THE PIPE LINE SYSTEM
DOREDLA NAGARAJU 1, BHUKYA PRATHIMA BAI 2, CHILUKURI TRIPURA REDDY 3,
TADIKAMALLA NARENDRA 4, K.SIVA REDDY5
1 ASSISTANT PROFESSOR, DEPARTMENT OF CIVIL ENGINEERING, NARASARAOPETA ENGINEERING COLLEGE,
NARASARAOPET, INDIA
2,3,4 UG STUDENT, DEPARTMENT OF CIVIL ENGINEERING, NARASARAOPETA ENGINEERING COLLEGE,
NARASARAOPET, INDIA
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract: This study has been undertaken to investigatethe
determinants of Design of Support structure in Santhi Nagar
near Narasaraopeta using IS 456:2000. The design code for
the manufacturing of DI K7 pipes which are to be used for the
design of the proposed support structure by using IS 456:200
and Working stress method. To design the support structure,
the design requirements to be considered from theexistingsite
conditions and the parameters that are required to be
followed for the design water flow and to make the structure
to withstand the loads & forces carried by the supportsandthe
footings .the design was undergone with manual calculations
by using standard design practices and this was under the
AMRUT scheme prestigiously carried outbytheGovernmentof
INDIA.
Key Words: water demand, pedestal, footing, working
stress method, limit state method, Support structure.
1. Introduction
1.1.Pipes for Water Supply System
Pipes which are commonly used in water supply system are
given below.
1. Galvanized Iron (GI) Pipes
2. Concrete Pipes
Galvanized Iron (GI) Pipes:
This type of pipe is used for water supply work inside the
building. These pipes are wrought steel pipesprovided with
zinc coating. They are available in light, medium and heavy
grades depending on the thicknessof the metal. Fora15mm
GI pipe, the thicknesses are 2.0, 2.65 & 3.25 for the light,
medium and heavy grades, respectively. Generally the
medium grade pipes are used for internal plumbing in
building. Mostly screw and socket joints are used for G.I.
pipes.
Concrete Pipes:
Unreinforced pipes of small diameters as well as reinforced
and prestressed concrete pipes of large diameters are
available for water supply and other uses. Small
unreinforced concrete pipesare verymuchusedfordrainage
of rain water. Large diameter pipes are generally used for
major water supply works.
Isolated footingscan have different shapesinplan;generally,
it depends upon the shape of cross section of the column.
2. OBJECTIVES FOR THE STUDY
1) To prepare a design of a new water pipe line system
by using design standards.
2) To select pipe material and pipe size according to
design standards.
3. RESEARCH METHODOLOGY
Data:
Inner dia of pipe ID 600 mm
Thickness of inlining 12 mm
Thickness of pipe shell 6 mm
Thickness of gunniting 12 mm
Outer dia of the pipe OD 660 mm
As per IS 2062-2006,
min.yield stress for welded pipe, fy 2500 ksc
Unit weight of steel 7850 kg/m3
Unit weight for internal cement mortar lining
2200 kg/m3
Unit weight of water
1000 kg/m3
Maximum internal pressure
0.17 Mpa
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1913
Spacing of supports, pedestal
L 5.00 m
Angle of bedding
β 120 deg
Weight calculation (pipe with water in it)
Weight of inlining = π*(0.6+0.012)*0.012*2200
= 50.758 kg/m
Weight of the pipe shell =
π*(0.6+2*0.012+0.006)*0.006*7850
= 93.22 kg/m
Weight of gunniting =
π*(0.6+2*(0.012+0.006)+0.012)*0.012*220)
= 53.744 kg/m
Weight of water running in the pipe =
π*0.6^2/4*1000
= 280.743 kg/m
Total load due to the pipe and water in it =
50.758+93.22+53.744+282.743
= 480.5 kg/m
(a) Maximum value of localized stress in pipe ( saddle
stress)
FI = K * p/ * log(r/t)
Where,
k a factor obtained from expression (0.02-0.00012(β-90))
Β angle of support
K = 0.0164
P saddle reaction including 10% for continuity
= 2642.60 kg
Shell thickness = 6 mm
R radius of pipe, (D/2) = 300 mm
Fl = 470.949 ksc
(b)Bending stress
Fb = bending moment / modulus of shell plate
Where, bending moment, M = W /8
= 480.465*5^2/8
= 1501.5 kg-m
Sectional n π* *t =(22/7)*300^2*6/1000
= 1696 cm^4
fb =1501.5*100/1696
= 88.53ksc
(c)Hoop stress
Fh = P*d/2/t 1.7*(60/2)(0.6) = 85 ksc
(d) Rim stress
Fr=Fh/4= 85/4 = 21.25 ksc
LONGITUDINAL STRESS
Maximum permissible longitudinal stress
F’ = fy *0.6*efficiency of circumferential joint =
2500*0.6*0.8
F’ = 1200 ksc
Total actual longitudinal stress, F’= saddle stress +bending
stress +rim stress
= fI + fb + fr
= 470.949+88.53+21.25
F’ = 580.7
ksc < 1200 SAFE
CIRCUMFERENTIAL STRESS
Maximum permissible circumferential stress
F”= Fy* 6*efficiency of longitudinal joint
= 2500*0.6*0.9
F” = 1350 ksc
Total circumferential stress, F” = saddle stress +hoop
stress= fI + fh
= 470.949+85
F” = 555.9 ksc <1350 SAFE
Hence, c/c distance between the supports, (i.e, pedestal),
5m is sufficient for angle of support being 120 deg.
DESIGN OF SUPPORT STRUCTURE, PEDESTAL ‘P’
Grade of concrete M20
Grade of steel Fe 500
Permissible stress in compression, bending, σcbc
= 7 N/
Permissible stress in compression, direct, σcc
= 5 N/
Permissible tensile stress in steel
= 230 N/
Design constants
m = 280/(3 σcbc) = 13.3333
k = m σcbc / (m σcbc)= 0.2887
j = 1- k/3 = 0.9038
Q = ½ kj σcbc = 0.9132
= = 27 deg
Hoop force in pipeline,σt = PD/2
= 51 KN
Longitudinal force in the pipeline = 0.303* σt
= 15.45 KN
Vertical component = 7.01 KN
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1914
15.45*SIN (27*PI ()/180)
Horizontal component = 13.77 KN
15.45*COS (27*PI ()/180)
Reaction due to pipe and water on support = 26.89
KN
Self-weight of the pedestal = 29.9 KN
Total load coming on to the support = 63.8 KN
Pedestal design
Dimensions of pedestal
Either side offset lengthwise = 0.200 m
The distance between the offsets = 0.600 m
Length (0.6+2*0.2) = 1.000 m
Width = 0.230 m
Height of the support
Above ground level = 4.00 m (upto the base of pipe)
Below ground level = 1.100 m (upto the base of pedestal)
Total height = 5.100 m
Stress on concrete support = load/area
63.793/(1*0.23) = 277.361 KN/
Permissible stress on concrete = 5000 KN/
277.361< 5000 KN/
(The size of the pedestal, (1m*0.23m), is provided based
on the structural requirement of pi and ring girder. The
actual stress on concrete is 277.36 kN/Sq.m, which is very
meager.)
Design for pedestal
Reinforcement
To determine the gross area of the pedestal
P = + sc.Asc
= 5 N/
(permissible stress in
concrete)
= 230 N/
(permissible stress in steel)
Ac = net area of the concrete
section (
Asc = c/s area of the
longitudinal bar R/F (
Dia of bar = 10 mm
Asc π*(10)^2/4 = 78.54
Ag =
P = percentage of steel
assumed
= 1% (minimum 0.8% to
resist direct stress)
Ag =
= 8799.034
Area of steel required = 1% of Ag
0.01*8799.034 = 88
Spacing of the bars required = 1230 mm
Provided say 200 mm
Number of longitudinal bars provided = perimeter of the
pedestal/spacing
2*(1000+230)/200 = 12.3
Say 14 no’s
Area of steel provided = area of bar*number of
bars
78.54*14 = 1099.56
Area of steel provided area of steel required
1099.56 > 87.99 SAFE
Minimum area steel required= 0.12% of BD
0.23*1*0.12/100 = 276 SAFE
However provide reinforcement of 10 mm dia bars @ 2
DESIGN OF FOUNDATION FOR SUPPORT [P]
DATA
Unit weight of concrete = 25
KN/
Unit weight of soil = 21
KN/
Grade of concrete M20
Details for footing design
Maximum load of pipe @ support =63.793 KN
Weight of the pedestal = L*B*H *unit weight
[5.265*1*0.23*25] = 30.274KN
Deduction for the portion OAXB
Area of OAXB = Θ /360*(π ) = 0.443
m
= 120/360 * (π * 0.33) ^2
= 0.114 = 0.1329 m
OX’ = (d/2) * sin (30)
= 0.165 m
X’X = (D/2) - ox’
= 0.165 M
AB = (0.66/2) * sin (120)/sin(30)
= 0.600 M
Area of OAB = 0.05 = 0.5*0.165*0.6
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1915
Area of AXB = area of OAXB –area of OAB
= 0.114-0.05
Area of AXB = 0.064
Vol. = 0.015
Total weight of the portion to be deducted
= 0.375 KN
0.015*25
Actual weight of the pedestal 30.274 -0.375
= 29.899
= 29.899 KN
Pedestal dimension
Lenth = 1 m
Width = 0.23 m
Base area = ` 0.23
Load at the base portion = 93.692 KN
Stress = 93.692/0.23 = 407.357 KN/
Footing dimension
Projection on either side of width of pedestal W =
0.45m
Projection on either side of length of pedestal L = 0.45m
Depth of foundation excluding pedestal = 0.6 m
Width of foundation 0.23+2*0.45 = 1.13 m
Length of foundation 1+2*0.45 = 1.9 m
Depth of foundation = 0.6 m
Base area of foundation 1.13*1.9 = 2.147
Load at the base portion = 93.692+
(2.147*0.6*25) = 125.897 KN
Moment due to the horizontalcomponentoflongitudinal
force of water in pipe
Horizontal component = 13.77 KN
Moment = 83.03 KN-m
= 83030000 N-mm
Moment due to frictional force,
= 77923000 N-mm
Moment due to passive pressure of soil, M2
Height of soil up to footing base = 1.7 m
Angle of internal friction of soil = 30 deg
Passive earth pressure kpγH = 107.1 KN-
Passive force (kpγH) H/2*Lf = 172.967 kn
Lever arm for soil portion from base of footing
= 0.567 m
Moment due to passive force of soil, M2
= 172.967*0.567
= 98.072 KN-m
M2 = 98072000 N-mm
Moment due to active pressure of soil, M3
Active earth pressure kaγH = 11.9 KN/
Active force (kaγH) H/2*Lf = 19.219 KN
Lever arm for soil portion from base of footing
0.567 m
Moment due to active force of soil, M3
= 19.219*0.567
= 10.897 KN-m
= 10897000 N-mm
Design of section
M4 = P0L/8*(B-b)2
B = 1.13 m L =
1.9 m
b = 0.23 m I =
1 m
area of the footing at the base A = BL
= 2.147 m2
Weight coming on the footing W = 93.692 KN
Net uupward pressure at the footing,
p0 = W/A = 93.692/2.147 = 43.639 KN/m2
M4 = (43.639*1.9)/8*(1.13-0.23)^2 = 8.395 KN-m
= 8.395*10^6 N-mm
Total moment acting on footing,M =[M1-M2+M3]+M4
=17.647*10^6 N-mm
d =
= {(17.647*10^6)/(0.9132*1900)}^(1/2)
= 100.85 mm required
= 544.00 mm provided
Hence safe
Check for shear (width wise)
One way shear
Shear force, “F” = ½*[B-b]-d
V = p0 F
V = 43.639*(0.5*(1.13-0.23)-
0.544)*1
= -4.102 KN
= v/bd
= -4102/(1000*544)
= -0.008 N/mm2
Permissible shear stress = k
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1916
K = 1
= 0.174 N/mm2
k = 0.174 N/mm2
As, < k safe
Two way shear
Shear force, “F” = P0[B2-b0
2]
= p0[B2-(b+d)2]
F = 43.64*[1.13^2-
(0.23+0.544)^2]
= 29.6 KN
= F/(4b0d)
=
(29.6*1000)/[4*(230+544)*
544]
= 0.018 N/mm2
Permissible shear stress
K = (0.15+β)
β = shorter/longer side of
the column (or) pedestal
= 0.23
K = 0.73
K = k*0.16
= 0.73*0.16*(20)^(1/2)
= 0.522 N/mm2
= 1.8 N/mm2 M20
(table 24, IS 456:2000)
As, < K < max SAFE
Check for shear (length wise)
One way shear
Shear force,”F” = ½[L-I]-d
V = p0F = -4.102 KN
= V/bd =-0.008 N/mm2
Permissible shear stress
K = 1
= 0.174 N/mm2
K = 0.174 N/mm2
As, < K safe
Two way shear
Shear force, “F” =P0[L2-I0
2] =P0[L2-(I+d)2)
= 53.5 KN
= F/4I0d = 0.009 N/mm2
Permissible shear stress = K
K = (0.15+β)
β = shorter/longer side of
the column(or)pedestal
= 0.23
K
K = k*0.16
= 0.73*0.16*(20)^(1/2)
= 0.522 N/mm2
= 1.8 N/mm2 M20
(table 24, IS 456:2000)
As, < K < max SAFE
z = 0.404 m3
P max P/A+M/Z= (125.897/2.147) + (17.647/0.404)
=102.319 KN/m2
P min P/A-M/Z= (125.897/2.147)-(17.647/0.404)
=14.958 KN/m2
For no tension condition, minimum stress allowed
Reinforcement calculation
Main reinforcement
Area of steel required = M/( st j d)
17.647*10^6/(230*0.9038*544) = 156.053 mm2
Dia of the bar = 12 mm
Area of a single bar = 113.097 mm2
Min.Ast required = 0.12%
(bD)
0.12*1000*600/100 = 720 mm2
Spacing required =
Ab*1000/Ast
113.097*1000/720 = 157.079 mm
Say 150 mm
Area of steel provided = 753.98 mm2
Hence okay
Percentage of reinforcement provided = 0.139 %
Therefore, provided 12 mm dia bars @150 mm c/c
spacing along width direction
Distribution reinforcement
Min. area of steel required = 0.12%
Check for stability
Frictional force = 13.44 KN
Active force = 19.22 KN
Passive force = 172.97 KN
Force from pipeline = 125.90 KN
Safety against sliding:
Coefficient of friction, µ = 0.75
Fs = 8.187 > 1 SAFE
Check for stresses in soil:
P = 125.897 KN
M = 17.647 KN-m
A = 2.147 m2
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1917
(bD)
0.12/100*1000*600 = 720 mm2
Dia of the bar = 12 mm
Area of a single bar = 113.097 mm2
Spacing required =
Ab*1000/Ast
113.097*1000/720 = 157.079 mm
Say 150 mm
Area of steel provided = 753.98 mm2
Hence okay
Therefore, provided 12 mm dia bars @ 150 mm c/c along
length direction
3. CONCLUSIONS
Aswe had encountered canal as obstruction while layingthe
pipeline system, so we had divided the total obstruction
length into 4 bays & 3 support structures are proposed for
total length. For each individual support structure, force of
gravity, pipe load (with water) and water pressure on the
wallsof the support structure are considered to transfer the
forces through the pedestal to the proposed footings of the
support structure. Under the maximum operating pressure
designed according to IS 8329: 2000 (ANNEX “E”Table-I),IS
456:2000 and working stress methods are adopted. From
the methodology we need to provide a pedestal of Length
1.000 m, Width 0.230 m, Total height 5.100 m & footingwith
width of foundation 1.13 m, Length of foundation 1.9 m,
Depth of foundation 0.6 m is to be provided for the design
considerations.
REFERENCES
[1].Doredla Nagaraju, Bhukya Prathima Bai, Chilukuri
Tripura Reddy, Tadikamalla Narendra, K Siva Reddy, , ,
."Design of the Pipe Line System for The Replacement Of
Existing Detoriorated Pipe Line Network", Volume 6, Issue
III, International Journal for Research in AppliedScienceand
Engineering Technology (IJRASET) Page No: , ISSN : 2321-
9653
[2].Al Nageim, H., Durka, F., Morgan, W. & Williams, D.T.
2010. Structural mechanics: loads, analysis, materials
and design of structural elements. 7th edition. London,
Pearson Education.
[3].Nelson, G.L., Manbeck, H.B. & Meador, N.F. 1988. Light
agricultural and industrial structures: analysis and design.
AVI Book Co.Prasad, I.B. 2000.
[4].A text book of strength of materials. 20th edition. 2B,
Nath Market, Nai Sarak, Delhi, Khanna Publishers.Roy, S.K.
& Chakrabarty, S. 2009.
[5].Fundamentals of structural analysis with computer
analysis and applications. Ram Nagar, New Delhi, S. Chand
and Co. Ltd.Salvadori, M. & Heller, R. 1986.
[6].Structure in architecture: the building of buildings. 3rd
edition.Englewood Cliffs, New Jersey, Prentice-Hall.Whitlow,
R.1973. Materials and structures. New York, Longman.
BIOGRAPHIES
DOREDLANAGARAJU M.Tech [SE],MBA,
LMISTE, AMIE,J r. AM.ASCE, Assistant
Professor,
Department of Civil Engineering,
Narasaraopeta Engineering College
[Autonomous], Narasaraopet, Andhra
Pradesh, India.
BHUKYA PRATHIMA BAI,
UG STUDENT,
Department of Civil Engineering,
Narasaraopeta Engineering College
[Autonomous], Narasaraopet, Andhra
Pradesh, India.
CHILUKURI TRIPURA REDDY,
UG STUDENT
Department of Civil Engineering,
Narasaraopeta Engineering
College[Autonomous], Narasaraopet,
Andhra Pradesh,India.
TADIKAMALLA NARENDRA,
UG STUDENT
Department of Civil Engineering,
Narasaraopeta Engineering College
[Autonomous], Narasaraopet, Andhra
Pradesh,India.
K.SIVA REDDY
UG STUDENT
Department of Civil Engineering,
Narasaraopeta Engineering
College,[Autonomous], Narasaraopet,
Andhra Pradesh, India.

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DESIGN OF SUPPORT STRUCTURE FOR PIPELINE

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1912 DESIGN OF THE SUPPORT STRUCTURE FOR THE PIPE LINE SYSTEM DOREDLA NAGARAJU 1, BHUKYA PRATHIMA BAI 2, CHILUKURI TRIPURA REDDY 3, TADIKAMALLA NARENDRA 4, K.SIVA REDDY5 1 ASSISTANT PROFESSOR, DEPARTMENT OF CIVIL ENGINEERING, NARASARAOPETA ENGINEERING COLLEGE, NARASARAOPET, INDIA 2,3,4 UG STUDENT, DEPARTMENT OF CIVIL ENGINEERING, NARASARAOPETA ENGINEERING COLLEGE, NARASARAOPET, INDIA ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract: This study has been undertaken to investigatethe determinants of Design of Support structure in Santhi Nagar near Narasaraopeta using IS 456:2000. The design code for the manufacturing of DI K7 pipes which are to be used for the design of the proposed support structure by using IS 456:200 and Working stress method. To design the support structure, the design requirements to be considered from theexistingsite conditions and the parameters that are required to be followed for the design water flow and to make the structure to withstand the loads & forces carried by the supportsandthe footings .the design was undergone with manual calculations by using standard design practices and this was under the AMRUT scheme prestigiously carried outbytheGovernmentof INDIA. Key Words: water demand, pedestal, footing, working stress method, limit state method, Support structure. 1. Introduction 1.1.Pipes for Water Supply System Pipes which are commonly used in water supply system are given below. 1. Galvanized Iron (GI) Pipes 2. Concrete Pipes Galvanized Iron (GI) Pipes: This type of pipe is used for water supply work inside the building. These pipes are wrought steel pipesprovided with zinc coating. They are available in light, medium and heavy grades depending on the thicknessof the metal. Fora15mm GI pipe, the thicknesses are 2.0, 2.65 & 3.25 for the light, medium and heavy grades, respectively. Generally the medium grade pipes are used for internal plumbing in building. Mostly screw and socket joints are used for G.I. pipes. Concrete Pipes: Unreinforced pipes of small diameters as well as reinforced and prestressed concrete pipes of large diameters are available for water supply and other uses. Small unreinforced concrete pipesare verymuchusedfordrainage of rain water. Large diameter pipes are generally used for major water supply works. Isolated footingscan have different shapesinplan;generally, it depends upon the shape of cross section of the column. 2. OBJECTIVES FOR THE STUDY 1) To prepare a design of a new water pipe line system by using design standards. 2) To select pipe material and pipe size according to design standards. 3. RESEARCH METHODOLOGY Data: Inner dia of pipe ID 600 mm Thickness of inlining 12 mm Thickness of pipe shell 6 mm Thickness of gunniting 12 mm Outer dia of the pipe OD 660 mm As per IS 2062-2006, min.yield stress for welded pipe, fy 2500 ksc Unit weight of steel 7850 kg/m3 Unit weight for internal cement mortar lining 2200 kg/m3 Unit weight of water 1000 kg/m3 Maximum internal pressure 0.17 Mpa
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1913 Spacing of supports, pedestal L 5.00 m Angle of bedding β 120 deg Weight calculation (pipe with water in it) Weight of inlining = π*(0.6+0.012)*0.012*2200 = 50.758 kg/m Weight of the pipe shell = π*(0.6+2*0.012+0.006)*0.006*7850 = 93.22 kg/m Weight of gunniting = π*(0.6+2*(0.012+0.006)+0.012)*0.012*220) = 53.744 kg/m Weight of water running in the pipe = π*0.6^2/4*1000 = 280.743 kg/m Total load due to the pipe and water in it = 50.758+93.22+53.744+282.743 = 480.5 kg/m (a) Maximum value of localized stress in pipe ( saddle stress) FI = K * p/ * log(r/t) Where, k a factor obtained from expression (0.02-0.00012(β-90)) Β angle of support K = 0.0164 P saddle reaction including 10% for continuity = 2642.60 kg Shell thickness = 6 mm R radius of pipe, (D/2) = 300 mm Fl = 470.949 ksc (b)Bending stress Fb = bending moment / modulus of shell plate Where, bending moment, M = W /8 = 480.465*5^2/8 = 1501.5 kg-m Sectional n π* *t =(22/7)*300^2*6/1000 = 1696 cm^4 fb =1501.5*100/1696 = 88.53ksc (c)Hoop stress Fh = P*d/2/t 1.7*(60/2)(0.6) = 85 ksc (d) Rim stress Fr=Fh/4= 85/4 = 21.25 ksc LONGITUDINAL STRESS Maximum permissible longitudinal stress F’ = fy *0.6*efficiency of circumferential joint = 2500*0.6*0.8 F’ = 1200 ksc Total actual longitudinal stress, F’= saddle stress +bending stress +rim stress = fI + fb + fr = 470.949+88.53+21.25 F’ = 580.7 ksc < 1200 SAFE CIRCUMFERENTIAL STRESS Maximum permissible circumferential stress F”= Fy* 6*efficiency of longitudinal joint = 2500*0.6*0.9 F” = 1350 ksc Total circumferential stress, F” = saddle stress +hoop stress= fI + fh = 470.949+85 F” = 555.9 ksc <1350 SAFE Hence, c/c distance between the supports, (i.e, pedestal), 5m is sufficient for angle of support being 120 deg. DESIGN OF SUPPORT STRUCTURE, PEDESTAL ‘P’ Grade of concrete M20 Grade of steel Fe 500 Permissible stress in compression, bending, σcbc = 7 N/ Permissible stress in compression, direct, σcc = 5 N/ Permissible tensile stress in steel = 230 N/ Design constants m = 280/(3 σcbc) = 13.3333 k = m σcbc / (m σcbc)= 0.2887 j = 1- k/3 = 0.9038 Q = ½ kj σcbc = 0.9132 = = 27 deg Hoop force in pipeline,σt = PD/2 = 51 KN Longitudinal force in the pipeline = 0.303* σt = 15.45 KN Vertical component = 7.01 KN
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1914 15.45*SIN (27*PI ()/180) Horizontal component = 13.77 KN 15.45*COS (27*PI ()/180) Reaction due to pipe and water on support = 26.89 KN Self-weight of the pedestal = 29.9 KN Total load coming on to the support = 63.8 KN Pedestal design Dimensions of pedestal Either side offset lengthwise = 0.200 m The distance between the offsets = 0.600 m Length (0.6+2*0.2) = 1.000 m Width = 0.230 m Height of the support Above ground level = 4.00 m (upto the base of pipe) Below ground level = 1.100 m (upto the base of pedestal) Total height = 5.100 m Stress on concrete support = load/area 63.793/(1*0.23) = 277.361 KN/ Permissible stress on concrete = 5000 KN/ 277.361< 5000 KN/ (The size of the pedestal, (1m*0.23m), is provided based on the structural requirement of pi and ring girder. The actual stress on concrete is 277.36 kN/Sq.m, which is very meager.) Design for pedestal Reinforcement To determine the gross area of the pedestal P = + sc.Asc = 5 N/ (permissible stress in concrete) = 230 N/ (permissible stress in steel) Ac = net area of the concrete section ( Asc = c/s area of the longitudinal bar R/F ( Dia of bar = 10 mm Asc π*(10)^2/4 = 78.54 Ag = P = percentage of steel assumed = 1% (minimum 0.8% to resist direct stress) Ag = = 8799.034 Area of steel required = 1% of Ag 0.01*8799.034 = 88 Spacing of the bars required = 1230 mm Provided say 200 mm Number of longitudinal bars provided = perimeter of the pedestal/spacing 2*(1000+230)/200 = 12.3 Say 14 no’s Area of steel provided = area of bar*number of bars 78.54*14 = 1099.56 Area of steel provided area of steel required 1099.56 > 87.99 SAFE Minimum area steel required= 0.12% of BD 0.23*1*0.12/100 = 276 SAFE However provide reinforcement of 10 mm dia bars @ 2 DESIGN OF FOUNDATION FOR SUPPORT [P] DATA Unit weight of concrete = 25 KN/ Unit weight of soil = 21 KN/ Grade of concrete M20 Details for footing design Maximum load of pipe @ support =63.793 KN Weight of the pedestal = L*B*H *unit weight [5.265*1*0.23*25] = 30.274KN Deduction for the portion OAXB Area of OAXB = Θ /360*(π ) = 0.443 m = 120/360 * (π * 0.33) ^2 = 0.114 = 0.1329 m OX’ = (d/2) * sin (30) = 0.165 m X’X = (D/2) - ox’ = 0.165 M AB = (0.66/2) * sin (120)/sin(30) = 0.600 M Area of OAB = 0.05 = 0.5*0.165*0.6
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1915 Area of AXB = area of OAXB –area of OAB = 0.114-0.05 Area of AXB = 0.064 Vol. = 0.015 Total weight of the portion to be deducted = 0.375 KN 0.015*25 Actual weight of the pedestal 30.274 -0.375 = 29.899 = 29.899 KN Pedestal dimension Lenth = 1 m Width = 0.23 m Base area = ` 0.23 Load at the base portion = 93.692 KN Stress = 93.692/0.23 = 407.357 KN/ Footing dimension Projection on either side of width of pedestal W = 0.45m Projection on either side of length of pedestal L = 0.45m Depth of foundation excluding pedestal = 0.6 m Width of foundation 0.23+2*0.45 = 1.13 m Length of foundation 1+2*0.45 = 1.9 m Depth of foundation = 0.6 m Base area of foundation 1.13*1.9 = 2.147 Load at the base portion = 93.692+ (2.147*0.6*25) = 125.897 KN Moment due to the horizontalcomponentoflongitudinal force of water in pipe Horizontal component = 13.77 KN Moment = 83.03 KN-m = 83030000 N-mm Moment due to frictional force, = 77923000 N-mm Moment due to passive pressure of soil, M2 Height of soil up to footing base = 1.7 m Angle of internal friction of soil = 30 deg Passive earth pressure kpγH = 107.1 KN- Passive force (kpγH) H/2*Lf = 172.967 kn Lever arm for soil portion from base of footing = 0.567 m Moment due to passive force of soil, M2 = 172.967*0.567 = 98.072 KN-m M2 = 98072000 N-mm Moment due to active pressure of soil, M3 Active earth pressure kaγH = 11.9 KN/ Active force (kaγH) H/2*Lf = 19.219 KN Lever arm for soil portion from base of footing 0.567 m Moment due to active force of soil, M3 = 19.219*0.567 = 10.897 KN-m = 10897000 N-mm Design of section M4 = P0L/8*(B-b)2 B = 1.13 m L = 1.9 m b = 0.23 m I = 1 m area of the footing at the base A = BL = 2.147 m2 Weight coming on the footing W = 93.692 KN Net uupward pressure at the footing, p0 = W/A = 93.692/2.147 = 43.639 KN/m2 M4 = (43.639*1.9)/8*(1.13-0.23)^2 = 8.395 KN-m = 8.395*10^6 N-mm Total moment acting on footing,M =[M1-M2+M3]+M4 =17.647*10^6 N-mm d = = {(17.647*10^6)/(0.9132*1900)}^(1/2) = 100.85 mm required = 544.00 mm provided Hence safe Check for shear (width wise) One way shear Shear force, “F” = ½*[B-b]-d V = p0 F V = 43.639*(0.5*(1.13-0.23)- 0.544)*1 = -4.102 KN = v/bd = -4102/(1000*544) = -0.008 N/mm2 Permissible shear stress = k
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1916 K = 1 = 0.174 N/mm2 k = 0.174 N/mm2 As, < k safe Two way shear Shear force, “F” = P0[B2-b0 2] = p0[B2-(b+d)2] F = 43.64*[1.13^2- (0.23+0.544)^2] = 29.6 KN = F/(4b0d) = (29.6*1000)/[4*(230+544)* 544] = 0.018 N/mm2 Permissible shear stress K = (0.15+β) β = shorter/longer side of the column (or) pedestal = 0.23 K = 0.73 K = k*0.16 = 0.73*0.16*(20)^(1/2) = 0.522 N/mm2 = 1.8 N/mm2 M20 (table 24, IS 456:2000) As, < K < max SAFE Check for shear (length wise) One way shear Shear force,”F” = ½[L-I]-d V = p0F = -4.102 KN = V/bd =-0.008 N/mm2 Permissible shear stress K = 1 = 0.174 N/mm2 K = 0.174 N/mm2 As, < K safe Two way shear Shear force, “F” =P0[L2-I0 2] =P0[L2-(I+d)2) = 53.5 KN = F/4I0d = 0.009 N/mm2 Permissible shear stress = K K = (0.15+β) β = shorter/longer side of the column(or)pedestal = 0.23 K K = k*0.16 = 0.73*0.16*(20)^(1/2) = 0.522 N/mm2 = 1.8 N/mm2 M20 (table 24, IS 456:2000) As, < K < max SAFE z = 0.404 m3 P max P/A+M/Z= (125.897/2.147) + (17.647/0.404) =102.319 KN/m2 P min P/A-M/Z= (125.897/2.147)-(17.647/0.404) =14.958 KN/m2 For no tension condition, minimum stress allowed Reinforcement calculation Main reinforcement Area of steel required = M/( st j d) 17.647*10^6/(230*0.9038*544) = 156.053 mm2 Dia of the bar = 12 mm Area of a single bar = 113.097 mm2 Min.Ast required = 0.12% (bD) 0.12*1000*600/100 = 720 mm2 Spacing required = Ab*1000/Ast 113.097*1000/720 = 157.079 mm Say 150 mm Area of steel provided = 753.98 mm2 Hence okay Percentage of reinforcement provided = 0.139 % Therefore, provided 12 mm dia bars @150 mm c/c spacing along width direction Distribution reinforcement Min. area of steel required = 0.12% Check for stability Frictional force = 13.44 KN Active force = 19.22 KN Passive force = 172.97 KN Force from pipeline = 125.90 KN Safety against sliding: Coefficient of friction, µ = 0.75 Fs = 8.187 > 1 SAFE Check for stresses in soil: P = 125.897 KN M = 17.647 KN-m A = 2.147 m2
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 04 | Apr-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 1917 (bD) 0.12/100*1000*600 = 720 mm2 Dia of the bar = 12 mm Area of a single bar = 113.097 mm2 Spacing required = Ab*1000/Ast 113.097*1000/720 = 157.079 mm Say 150 mm Area of steel provided = 753.98 mm2 Hence okay Therefore, provided 12 mm dia bars @ 150 mm c/c along length direction 3. CONCLUSIONS Aswe had encountered canal as obstruction while layingthe pipeline system, so we had divided the total obstruction length into 4 bays & 3 support structures are proposed for total length. For each individual support structure, force of gravity, pipe load (with water) and water pressure on the wallsof the support structure are considered to transfer the forces through the pedestal to the proposed footings of the support structure. Under the maximum operating pressure designed according to IS 8329: 2000 (ANNEX “E”Table-I),IS 456:2000 and working stress methods are adopted. From the methodology we need to provide a pedestal of Length 1.000 m, Width 0.230 m, Total height 5.100 m & footingwith width of foundation 1.13 m, Length of foundation 1.9 m, Depth of foundation 0.6 m is to be provided for the design considerations. REFERENCES [1].Doredla Nagaraju, Bhukya Prathima Bai, Chilukuri Tripura Reddy, Tadikamalla Narendra, K Siva Reddy, , , ."Design of the Pipe Line System for The Replacement Of Existing Detoriorated Pipe Line Network", Volume 6, Issue III, International Journal for Research in AppliedScienceand Engineering Technology (IJRASET) Page No: , ISSN : 2321- 9653 [2].Al Nageim, H., Durka, F., Morgan, W. & Williams, D.T. 2010. Structural mechanics: loads, analysis, materials and design of structural elements. 7th edition. London, Pearson Education. [3].Nelson, G.L., Manbeck, H.B. & Meador, N.F. 1988. Light agricultural and industrial structures: analysis and design. AVI Book Co.Prasad, I.B. 2000. [4].A text book of strength of materials. 20th edition. 2B, Nath Market, Nai Sarak, Delhi, Khanna Publishers.Roy, S.K. & Chakrabarty, S. 2009. [5].Fundamentals of structural analysis with computer analysis and applications. Ram Nagar, New Delhi, S. Chand and Co. Ltd.Salvadori, M. & Heller, R. 1986. [6].Structure in architecture: the building of buildings. 3rd edition.Englewood Cliffs, New Jersey, Prentice-Hall.Whitlow, R.1973. Materials and structures. New York, Longman. BIOGRAPHIES DOREDLANAGARAJU M.Tech [SE],MBA, LMISTE, AMIE,J r. AM.ASCE, Assistant Professor, Department of Civil Engineering, Narasaraopeta Engineering College [Autonomous], Narasaraopet, Andhra Pradesh, India. BHUKYA PRATHIMA BAI, UG STUDENT, Department of Civil Engineering, Narasaraopeta Engineering College [Autonomous], Narasaraopet, Andhra Pradesh, India. CHILUKURI TRIPURA REDDY, UG STUDENT Department of Civil Engineering, Narasaraopeta Engineering College[Autonomous], Narasaraopet, Andhra Pradesh,India. TADIKAMALLA NARENDRA, UG STUDENT Department of Civil Engineering, Narasaraopeta Engineering College [Autonomous], Narasaraopet, Andhra Pradesh,India. K.SIVA REDDY UG STUDENT Department of Civil Engineering, Narasaraopeta Engineering College,[Autonomous], Narasaraopet, Andhra Pradesh, India.