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API RP 1111 Pipeline Axial Load

Calculate API RP 1111 limit state pipeline axial load from pressure and temperature.

The axial load is calculated using the thick wall equation. The axial load calculation is valid in the elastic range only.

Reference : API RP 1111 : Design, Construction, Operation, and Maintenance of Offshore Hydrocarbon Pipelines (Limit State Design) (2011)

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CALCULATOR : API RP 1111 Section 4.3.1 Pipeline Axial Load From Temperature And Pressure [PLUS]   ±

Calculate pipeline restrained and unrestrained global or external axial load and wall load from temperature and pressure for single layer pipelines (API RP 1111 section 4.3.1).

The external pressure is assumed to be constant during installation and operation (submerged pipeline). The internal pressure is assumed to be zero during installation.

Pipeline section properties are either calculated or user defined. The axial load is calculated using the thick wall formula. Loads are positive in tension, and negative in compression.

Nominal pipe diameter and wall thickness should normally be used for axial load calculations. Pipe wall stress is calculated for the cross section area, and is indicative only.

Tool Input

  • pletype : External Pressure Type
    • Peu : User Defined External Pressure
  • syutype : Stress Table Type
  • mattype : Yield Stress Type
    • SMYSu : User Defined Specified Minimum Yield Stress
  • schdtype : Pipe Schedule Type
  • diamtype : Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • corrtype : Pipe Wall Corrosion Type
  • modptype : Pipe Material Type
    • νu : User Defined Pipe Poisson's Ratio
    • αu : User Defined Pipe Thermal Expansion Coefficient
    • Eu : User Defined Pipe Elastic Modulus
  • sectype : Pipe Section Properties Type
    • Asu : User Defined Steel Cross Section Area
    • EAαu : User Defined Pipe E x A x alpha
  • loadtype : Axial Load Type
    • Fgu : User Defined Global Axial Load
    • Fwu : User Defined Pipe Wall Axial Load
  • tc : Corrosion Allowance
  • Fd : Design Factor
  • Pi : Internal Pressure
  • Td : Design Temperature
  • Tin : Installation Temperature
  • Fin : Installation Load

Tool Output

  • α : Pipe Thermal Expansion Coefficient
  • ν : Pipe Poisson's Ratio
  • Ax : Pipe Cross Section Area
  • E : Pipe Elastic Modulus
  • EAα : Pipe E x A x alpha
  • Fg : Global Or External Axial Load
  • Fw : Pipe Wall Axial Load
  • ID : Pipe Inside Diameter
  • OD : Pipe Outside Diameter
  • OD/tn : Pipe Diameter Over Wall Thickness Ratio
  • PΔ : Pressure Difference
  • Pe : External Pressure
  • SMYS : Specified Minimum Yield Stress
  • Sd : Allowable Stress
  • Sw : Pipe Wall Axial Stress
  • Sw/Sd : Axial Stress Over Allowable Stress Ratio
  • t : Stress Check Wall Thickness
  • tn : Pipe Nominal Wall Thickness

CALCULATOR : API RP 1111 Section 4.3.1 Pipeline Axial Load From Temperature And Pressure (Multi Layer Pipe) [PLUS]   ±

Calculate pipeline restrained and unrestrained external or global axial load and wall load from temperature and pressure for multi layer pipelines (API RP 1111 section 4.3.1).

The internal pressure is assumed to be zero during installation. The external pressure is assumed to be constant during installation and operation (submerged pipeline).

The first inside layer is the pipe wall. Select the pipe wall thickness and diameter from the pipe schedule. Enter all inside layers. The Young's modulus should be set to zero for inside layers which do not contribute to the axial load. Change the number of layers on the setup page. The axial load is calculated using the thick wall formula. Loads are positive in tension, and negative in compression.

Nominal pipe diameter and wall thickness should normally be used for axial load calculations. Pipe wall stress is calculated for the line pipe layer.

Tool Input

  • pletype : External Pressure Type
    • Peu : User Defined External Pressure
  • syutype : Stress Table Type
  • mattype : Yield Stress Type
    • SMYSu : User Defined Specified Minimum Yield Stress
  • schdtype : Line Pipe Schedule Type
  • diamtype : Line Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Line Pipe Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • sectype : Pipe Section Properties Type
    • EAu : User Defined Pipe E x A
    • EAαu : User Defined Pipe E x A x alpha
    • νu : User Defined Pipe Poisson's Ratio
  • loadtype : Axial Load Type
    • Fgu : User Defined Global Axial Load
    • Fwu : User Defined Pipe Wall Axial Load
  • WTi : Pipe Liner Wall Thickness
  • Ei : Pipe And Liner Elastic Modulus
  • αi : Pipe And Liner Thermal Expansion Coefficient
  • νi : Pipe And Liner Poisson's Ratio
  • Fd : Design Factor
  • Pi : Internal Pressure
  • Td : Design Temperature
  • Tin : Installation Temperature
  • Fin : Installation Load

Tool Output

  • εw : Pipe Wall Axial Strain
  • ν : Pipe Poisson's Ratio
  • EA : E x A
  • EAα : Pipe E x A x alpha
  • Fg : Global Or External Axial Load
  • Fw : Pipe Wall Axial Load
  • IID : Pipe Inside Diameter Including Liner
  • OD : Pipe Outside Diameter
  • OD/tn : Pipe Diameter Over Wall Thickness Ratio
  • Pe : External Pressure
  • SMYS : Specified Minimum Yield Stress
  • Sd : Allowable Stress
  • Sw : Pipe Wall Axial Stress
  • Sw/Sd : Axial Stress Over Allowable Stress Ratio
  • tn : Line Pipe Thickness

CALCULATOR : API RP 1111 Section 4.3.1 Pipeline Axial Load From Temperature And Pressure (General Pipe) [FREE]   ±

Calculate pipeline restrained and unrestrained global or external axial load and wall load from temperature and pressure for single layer pipelines (API RP 1111 section 4.3.1).

The external pressure is assumed to be constant during installation and operation (submerged pipeline). The internal pressure is assumed to be zero during installation.

The axial load is calculated using the thick wall formula. Loads are positive in tension, and negative in compression.

Tool Input

  • pletype : External Pressure Type
    • Peu : User Defined External Pressure
  • loadtype : Axial Load Type
    • Fgu : User Defined Global Axial Load
    • Fwu : User Defined Pipe Wall Axial Load
  • OD : Pipe Outside Diameter
  • tn : Pipe Wall Thickness
  • ν : Poisson Ratio
  • α : Thermal Expansin Coefficient
  • E : Elastic Modulus
  • Pi : Internal Pressure
  • Td : Design Temperature
  • Tin : Installation Temperature
  • Fin : Installation Load

Tool Output

  • EAα : Pipe E x A x alpha
  • Fg : Global Or External Axial Load
  • Fw : Pipe Wall Axial Load
  • Pe : External Pressure

CALCULATOR : API RP 1111 Section 4.3.1 Pipeline Temperature Derated Yield Stress And Tensile Stress [FREE]   ±

Calculate temperature derating factor, and derated yield stress and tensile stress from temperature (API RP 1111 section 4.3.1 and ASME B31.8 section 841.1).

Refer to Table 841.1.8-1 for the derating factors. The derating factors are valid for steel pipe upto 232 C (450 F). For temperatures above 232 C (450 F) the derating values should be used carefully (material specific test data should be used if it is available). The derating factor is assumed to be valid for yield stress and tensile stress. Use the Result Table option to display the results for the selected stress table (API, ASME or DNV). The temperature derating factor is not valid for nickel alloy, or stainless steel.

Tool Input

  • syutype : Stress Table Type
  • mattype : Material Type
    • SMYSu : User Defined Specified Minimum Yield Stress
    • SMTSu : User Defined Specified Minimum Tensile Stress
  • tfactype : Temperature Derating Factor Type
    • Td : Design Temperature
    • Tu : User Defined Temperature Derating Factor

Tool Output

  • SMTS : Specified Minimum Tensile Stress
  • SMTS/SMYS : Tensile Stress Over Yield Stress Ratio
  • SMYS : Specified Minimum Yield Stress
  • SMYS/SMTS : Yield Stress Over Tensile Stress Ratio
  • Su : Derated Tensile Stress
  • Sy : Derated Yield Stress
  • T : Temperature Derating Factor
CALCULATOR : API RP 1111 Pipeline Diameter And Wall Thickness Schedule [FREE]   ±

Calculate API RP 1111 pipeline diameter and wall thickness from pipe schedule.

The pressure design thickness equals the nominal wall thickness minus the corrosion allowance. The corrosion allowance includes mechanical allowances such as threads and damage etc. Use the Result Table option display a table of pressure design wall thickness versus wall thickness for the selected diameter schedule. Fabrication tolerance is included in the design factor and is ignored.

Tool Input

  • schdtype : Line Pipe Schedule Type
  • diamtype : Line Pipe Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • c : Wall Thickness Corrosion Allowance

Tool Output

  • ID : Nominal Inside Diameter
  • OD : Nominal Outside Diameter
  • OD/tn : Diameter Over Wall Thickness Ratio
  • tn : Nominal Wall Thickness
  • tp : Pressure Design Wall Thickness
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