Pipe, Operational, Installation & Site Characteristics Values Units Values Units

Steel Grade 9

Specified Minimum Yield Strength SMYS 450.00 N/mm2 70049.49 lb/in2

Young's Modulus Es 200.0E+3 N/mm2 29,006,000 lb/in2

Poisson's Ratio v s 0.30

Coefficient of Thermal Expansion T 1.17E-05 per oC

Design Stress Factor F 0.72

Outside Diameter D 28.00 inches 711.20 mm

Wall Thickness tw 22.20 mm 0.874 in

Depth H 15,000 mm

Bored Diameter and Type Bd 1,066.80 mm Type: HDD

Maximum Allowable Operating Pressure P 86.00 barg 8.60 N/mm2

Temperature at time of Installation Tmax 30.00 oC 86.00

Design Temperature Max Tmax 50.00 oC 122.00 oF

Design Temperature Min Tmin 15.00 oC 59.00 oF

Temperature Derating Factor T 1.000 (B31.8 Table 841.116A)

Spec & Pipe Class 19.00

Longitudinal Joint Factor E 1.00 (B31.8 Table 841.115A)

HDD Rig size Fr 200.00 tons

Rig Pulling factor Sr 75.00 %

Allowable tensile stress factor Ft 0.40

Time under tension design factor St 0.91

Length of Drill L 800.00 m 2,624.64 ft

Total change of angle over L 16.00 degrees

Radius of curvature 1,300.00 m

Horizontal Directional Drill Installation Calculations- based on Tensile strength

ASCE Manuals and reports on Engineering Practice No. 10

Appendix 4 Page 1 of 4 MM-ZTK-1A-ONEP-PLR-CAL-0002

Horizontal Directional Drill Installation Calculations- based on Tensile strength

1.0 Check Allowable Barlow Stresses (API 1102 Equation 8b) Values Units

Actual Barlow Stress 137.75 N/mm2

Allowable Barlow Stress 324.00 N/mm2

1.1 Installation Stresses- Bending Stress

R A = Maximum Radius of Curvature (inch)-(For 8 Degrees)

L = Length drilled (ft)

Maximum Radius of Curvature in Drilled hole (in) RA 112,859.52 in 2866.63 m

Min.Radius of Curvature in Drilled hole used RD 51,181.10 in 1300.00 m

f b = Longitudinal Bending Stress (lb/in2)

Longitudinal Bending Stress (lb/in2) f b 7,934.26 lb/in

2 54.71 N/mm2

Maximum allowable Bending Stress (lb/in2) F b -9,429.96 lb/in

2 65.02 N/mm2

1.2 Installation Stresses- External Hoop Stress

D/t 50 D/t = 48.20

t = Pipe wall thickness (inch)

P ext = Uniform external Pressure in lb/in2

(Assumed as 7.5-Percent E )E = Modulus of Steel in lb/in

2

Optimum thickness (D/t 50) t 14.224

Pipe wall thickness due to External Hoop Stress t 14.755 mm

Actual Barlow Stress < Allowable Stress

The pipe thickness due to external hoop stress of pipe is determined as follows

The pipe stress due to bending stress of pipe is determined as follows

F b =0.75F y for D/t 1,500,000/F y

F b = [0.84-(1.74F y D)/(Et)]F y for 1,500,000/F y < D/t 3,000,000/F y

F b = [0.72-(0.58F y D)/(Et)]F y for 3,000,000/F y < D/t 300,000

Longitudinal bending stress < Allowable bending stress

Actual thickness > Allowable Thickness

3/1)/864(12/ EPDt ext

688)/( ALR A

)2/()( Db REDf

Appendix 4 Page 2 of 4 MM-ZTK-1A-ONEP-PLR-CAL-0002

Horizontal Directional Drill Installation Calculations- based on Tensile strength

1.3 Installation Stresses- Tensile Stress

S y = Tensile Yield Factor

S t = Time under tension design factor

T y = Tensile yield strength

F t = Allowable Tensile Stress

Allowable Tensile Stress ft 163.800 N/mm2 23,755.91 lb/in

2

1.4 Installation Stresses- Required Pipe thickness to meet allowable tensile stress

F r = HDD Rig size

S r = Rig pulling factor

F t = Allowable Tensile Stress

D o = Outside pipe diameter

t r = Required pipe wall thickness to meet allowable tensile stress

Pipe wall thickness due to Tensile Stress t r 14.44 mm

Pipe wall thickness to be used t 22.20 mm

1.5 Installation Stresses- Pipe combined installation stress

F t = Allowable Tensile Stress (lb/in2)

f y = Pipe minimum yield strength (lb/in2)

f b = Longitudinal Bending Stress (lb/in2)

F b = Maximum allowable Bending Stress (lb/in2)

f t / 0.9 F y + f b / F b =-0.436943

The pipe stress due to combined stresses is determined as follows

The pipe stress due to pulling tensile stress of pipe is determined as follows

The pipe thickness due to pulling tensile stress of pipe is determined as follows

Actual thickness > Allowable Thickness

Actual thickness > Allowable Thickness

ytyt TSSf

2*)/)/)/((()2/(( 2 pifSFDpitr trro

1/9.0/ bbyt FfFf

Appendix 4 Page 3 of 4 MM-ZTK-1A-ONEP-PLR-CAL-0002

Horizontal Directional Drill Installation Calculations- based on Tensile strength

2.0 Operating Stresses- Internal Hoop Stress

f h = Pipe hoop stress due to internal pressure (lb/in2)

P int = Uniform internal pressure (lb/in2)

t = Pipe wall thickness (in)

f h 70% SMYS

Pipe hoop stress due to internal pressure f h 19,974 lb/in2

137.73 N/mm2

2.1 Operating Stresses- Combined Operating Stress

For worst case, fc fh ,

f v 45% SMYS

f v = Longitudinal component oF circumferential stress (lb/in2)

f c = Total circumferential stress (lb/in2)

f l = Total Longitudinal stress, fb (lb/in2)

Longitudinal component of circumferential stress f v 3,023.94 lb/in2

20.85 N/mm2 Actual combined operating stress < Allowable combined stress

The pipe stress during operation due to hoop stress is determined as follows

Actual internal hoop stress < Allowable internal hoop stress

The pipe stress during operation due to hoop stress is determined as follows

)2/()( int tDPf h

2/)( lcv fff

)( bcl fVff

2)2/)1[( bhv

fvff

2/)( chv fff

Appendix 4 Page 4 of 4 MM-ZTK-1A-ONEP-PLR-CAL-0002