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Pipe and operational characteristics values units
Outside diameter D 9.625 in
Operating Pressure p 2800 psi
Pressure Test 305 psi
Steel Grade X65
Specific Minimum Yield Strength SMYS 65000 psi
Design Factor F 0.8
Longitudinal Joint Factor E 1Installation Temperature T 41 F
Maximum or minimum operating Temperature T 68 F
Temperature derating Factor T 0
Wall Thickness tw 0.27992126 in
Installation and Site Characteristics
Depth H 4.92 ft
Bored Diameter Bd 9.60629921 in
Soil Type loose sand
Modulos of Soil Reaction E' 0.15 ksiResilient Modulos Er 1.5 ksi
Unit Weight 124.855947 lb/ft3
0.0722546
Angle of Internal Friction 36
Cohesion Co
Coeffient of Lateral Earth Pressure Ko 0.41
Adhesion Factor 1.01
type of longitudinal wield saw
Design Wheel Load from single axle Ps 7.5 kips
Design Wheel Load from tandem axle Pt 7 kipsPavement Type flexible
Other Steel Properties
Youngs Modulus Es 10 ksi
Poissons Ratio vs 0.3
Coeffiecient of thermal expansion T 0.0000065 /f
Transversal Fatigue Stress Limit SFG 12 ksi
Longitudinal Fatigue Stress Limit SFL 12 ksi
Seismic
Maximum Magnitude (Richter) M 8.5
Hypocentral Distance DH
Apparent Velocity of Seismic Wave Cs
Wave Ratio 2
Apparent Seismic Wavelength
Earthquake Maximum Speed V
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Step 1
Check allowable Barlow Stress
pD/2twF*E*T*SMYS
pD/2tw= 48138.53727 psi
FETSmys 52000 psi
Step 2 Circumferential Stress Due to Earth Load
using tables to obtain
KHe 1339
figure 3 use
tw/D= 0.03
E= 0.15
Bc 1
figure 4 use
H/Bd = 6.1
soil type loose sand
Ee 1
figure 5 use
Bd/D= 1
She =KHeBeEeD= 931.2082429 psi
Step 3 Impact Factor, Fi, and Applied Design Surface Pressure, w
Fi 1.5
Use Figure 7 for highways
H= 4.92
refer to section 4.7.2.2.1
w=P/Ap 48.61111111 psi
Ap= contact area over load is applied = 144 in
Sttep 4 Cyclic Stress
Cyclic Circumferential Stress
SHh = KHhGHhRLFiw 1022.048125 psi
KHh 10.157
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figure 14 use
tw/D 0.03
Er 1.5
GHh 1.38
figure 15 use
D 9.625
H 4.92
Cyclic Longitudinal Stress
SLh = KLhGLhRLFiw 838.4473854 psi
KLh 8.231
Figure 16 use
tw/D 0.03
Er 1.5
GLh 1.27
figure 17 use
D 9.625
H 4.92
R 1.1
L 1
Table 2 with
flexible pavement and TANDEM AXLE
H= 4.92
D= 9.625
Step 5
Circumferential Stress Due to Internal Pressurization, SHi
SHi=p(D-tw)/2tw 45338.53727 psi
Step 6
Principal Stresses, S1,S2,S3
T 41 F
T 68 F
Es 10
vs 0.3
T 0.0000065
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S1=SHe+SH+SHi 47108.1929 psi
S2=SLH-EsT(T2-T1)+vs(SHe+SHi) 14719.36928 psi
S3=-p -2800 psi
Seff=[0,5((S1-S2)2+(S2-S3)2+(S3-S1)2]
0,543856.53836 psi
Allowable Effective Stress = F x SMYS 52000 psi
Step 7
Check Fatigue
Girth WeldsFrom table 3 use
SLh = 838.4473854 psi
SFG= 12000
F= 0.8
SFGx F= 9600 psi
Longitudinal Welds
From Table 3
SHh= 1022.048125
SFL= 12000F= 0.8
SFL x F= 9600 psi
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331.903517
358.527364
0.02908273
6.42045455
7.04677346
0.07003005
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5.78089098
312.598197
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324.799543
101.486474
-19.3053196
302.380175
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Depth of burial, H
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AND H4FT FOR ALL DIAMETERS
ps(44.5kN)
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Pipe and operational characteristics values units
Outside diameter D 9.625 in
Operating Pressure p 19.3 MPa
Steel Grade X65
Specific Minimum Yield Strength SMYS 448 MPa
Design Factor F 0.8
Longitudinal Joint Factor E 1
Installationn Temperature T 5 CMaximum or minimum operating Temperature T 20 C
Temperature derating Factor T 0
Wall Thickness tw 7.11 mm
Installation and Site Characteristics
Depth H 1.5 m
Bored Diameter Bd 0.244 in
Soil Type loose sand
Modulos of Soil Reaction E' 1 MPa
Resilient Modulos Er 10 MPaUnit Weight 2000 kg/m
3
type of longitudinal wield saw
Design Wheel Load from single axle Ps 53.4 Mpa
Design Wheel Load from tandem axle Pt 48.8 Mpa
Pavement Type flexible
Other Steel Properties
Youngs Modulus Es 70 ksi
Poissons Ratio vs 0.3
Coeffiecient of thermal expansion T 0.0000117 /C
Allowable Barlow Stress
Shi FxExTxSMYS or FxExSMYS
SHi= 332 MPa ok
FxExSMYS= 358.5 MPa
Allowable Effective Stress
Seff SMYS x F
Seff= 302.5 MPa ok
SMYS x F = 358.5 MPa
Fatigue
Girth Welds
SLH SFG x F
SLH= 6 MPa ok
SFG x F= 66 MPa
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Longitudinal Welds
SHh SFL x F
SHh= 7 MPa ok
SFL x F = 66 MPa
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