Pipeng Toolbox : Piping Stiffness Calculators Blank User
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Line Pipe EA And EI

Calculate pipe EA and EI from pipe schedule diameter and wall thickness.

Use the Result Table option to display the results for the selected pipe diameter. For multi layer pipes (line pipe with outside layers and or inside layers), the results for each layer are displayed in the output view at the bottom of the page. Change the number of layers on the setup page.

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CALCULATOR : Line Pipe EI And Section Modulus (Multi Layer Pipe) [FREE]   ±

Calculate line pipe EI (ExI), second area moment (I), and Z modulus for multi layer pipelines.

Only include the Young's modulus value for the layers which will contribute to EI. The second area moment (I) and Z modulus are calculated for the line pipe. The stiffness of the other layers is included, and is factored by the relative stiffness of the layer. The Z modulus is calculated at the line pipe outside diameter and at the mid wall.

Tool Input

  • 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
  • eitype : E x I Type
    • Kcu : User Defined Coating Factor
    • CSFu : User Defined Concrete Stiffness Factor
  • zstype : Pipe Section Modulus Type
  • WTi : Pipe Liner Wall Thickness
  • Ei : Pipe And Liner Elastic Modulus
  • WTo : Pipe Coating Wall Thickness
  • Eo : Pipe Coating Elastic Modulus

Tool Output

  • CSF : Concrete Stiffness Factor (DNVGL)
  • EIi : Inside Layers E x I
  • EIo : Outside Layers E x I
  • EIp : Total E x I
  • IID : Pipe Inner Diameter Including Liners
  • Ip : Pipe Second Area Moment
  • Kc : Coating Factor (DNVGL)
  • OD : Line Pipe Nominal Diameter
  • OOD : Pipe Outer Diameter Including Coatings
  • Zs : Pipe Section Modulus
  • tn : Line Pipe Nominal Wall Thickness

CALCULATOR : Line Pipe EI And Section Modulus [FREE]   ±

Calculate line pipe EI (ExI), second area moment (I), and Z modulus from diameter and wall thickness.

The Z modulus is calculated at the line pipe OD and the line pipe mid wall. Both values are commonly used.

Tool Input

  • schdtype : Schedule Type
  • diamtype : Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • modptype : Material Property Type
    • Eu : User Defined Pipe Elastic Modulus
  • zstype : Pipe Section Modulus Type

Tool Output

  • E : Elastic Modulus
  • EI : E x I
  • I : Pipe Second Area Moment
  • ID : Nominal Inside Diameter
  • OD : Nominal Outside Diameter
  • OD/tn : Diameter Over Wall Thickness Ratio
  • Zs : Pipe Section Modulus
  • tn : Nominal Wall Thickness

CALCULATOR : Line Pipe EA (Multi Layer Pipe) [FREE]   ±

Calculate line pipe cross section area, ExA (EA), and expansion force coefficient (EAα)

Only the line pipe and inside layer stiffness is included. Only include the Young's modulus and thermal expansion coefficient values for the internal layers which will contribute to ExA. Generally, internal metallic liners are included in ExA calculations.

Tool Input

  • 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
  • WTi : Pipe Liner Wall Thickness
  • Ei : Pipe And Liner Elastic Modulus
  • αi : Pipe And Liner Thermal Expansion Coefficient

Tool Output

  • Ax : Total Pipe Cross Section Area Including Liners
  • EA : Pipe And Liner E x A
  • EAα : Pipe And Liner E x A x alpha
  • IID : Pipe Inner Diameter Including Liners
  • OD : Line Pipe Nominal Diameter
  • tn : Line Pipe Nominal Wall Thickness

CALCULATOR : Line Pipe EA [FREE]   ±

Calculate line pipe cross section area, ExA (EA), and expansion force coefficient (EAα) from diameter, wall thickness, elastic modulus and thermal expansion coefficient.

Tool Input

  • schdtype : Schedule Type
  • diamtype : Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • modptype : Material Property Type
    • Eu : User Defined Pipe Elastic Modulus
    • αu : User Defined Pipe Thermal Expansion Coefficient

Tool Output

  • α : Thermal Expansion Coefficient
  • AX : Total Pipe Cross Section Area
  • E : Elastic Modulus
  • EA : Pipe And Liner E x A
  • EAα : Pipe And Liner E x A x alpha
  • ID : Nominal Inside Diameter
  • OD : Nominal Outside Diameter
  • OD/tn : Diameter Over Wall Thickness Ratio
  • tn : Nominal Wall Thickness

CALCULATOR : Line Pipe EI And Unit Weight (Multi Layer Pipe) [FREE]   ±

Calculate line pipe EI (ExI), unit mass and unit weight for multi layer pipelines.

The concrete stiffness factor is used to account for the effect of the concrete layer. The concrete stiffness factor is calculated from the ratio of concrete EI over beam EI. The concrete stiffness factor is calculated in accordance with DNVGL RP F105. Only include the Young's modulus value for the layers which will contribute to EI. The unit weight can be calculated for dry empty, dry full, wet empty and wet full pipe.

Tool Input

  • 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
  • eitype : E x I Type
    • Kcu : User Defined Coating Factor
    • CSFu : User Defined Concrete Stiffness Factor
  • wltype : Pipe Weight Type
  • WTi : Pipe Liner Wall Thickness
  • Ei : Pipe And Liner Elastic Modulus
  • ρi : Pipe And Liner Density
  • WTo : Pipe Coating Wall Thickness
  • Eo : Pipe Coating Elastic Modulus
  • ρo : Pipe Coating Density
  • ρf : Contents Fluid Density
  • ρb : Displaced Fluid Density

Tool Output

  • CSF : Concrete Stiffness Factor (DNVGL)
  • EIi : Inside Layers E x I
  • EIo : Outside Layers E x I
  • EIp : Total E x I
  • IID : Pipe Inner Diameter Including Liners
  • Kc : Coating Factor (DNVGL)
  • OD : Line Pipe Nominal Diameter
  • OOD : Pipe Outer Diameter Including Coatings
  • SG : Pipe Specific Gravity Relative To Displaced Fluid
  • mb : Displaced Fluid Mass Per Length
  • mc : Contents Fluid Mass Per Length
  • mi : Inner Layers Total Unit Mass
  • mo : Outer Layers Total Unit Mass
  • mp : Pipe Mass Per Length Including Liner And Coating
  • tn : Line Pipe Nominal Wall Thickness
  • w : Pipe Total Weight Per Length Including Contents and Buoyancy

CALCULATOR : Line Pipe EI And Unit Weight [FREE]   ±

Calculate line pipe EI (ExI), unit mass and unit weight for single layer pipelines.

The unit weight can be calculated for dry empty, dry full, wet empty and wet full pipe.

Tool Input

  • schdtype : Schedule Type
  • diamtype : Diameter Type
    • ODu : User Defined Outside Diameter
    • IDu : User Defined Inside Diameter
  • wtntype : Wall Thickness Type
    • tnu : User Defined Wall Thickness
  • modptype : Material Property Type
    • Eu : User Defined Pipe Elastic Modulus
    • ρpu : User Defined Pipe Density
  • wltype : Pipe Weight Type
  • ρi : Contents Fluid Density
  • ρe : Displaced Fluid Density

Tool Output

  • ρp : Pipe Density
  • E : Elastic Modulus
  • EI : E x I
  • ID : Nominal Inside Diameter
  • Mb : Displaced Fluid Mass Per Length
  • Mc : Contents Fluid Mass Per Length
  • Mp : Pipe Mass Per Length
  • OD : Nominal Outside Diameter
  • OD/tn : Diameter Over Wall Thickness Ratio
  • SG : Pipe Specific Gravity Relative To Displaced Fluid
  • W : Pipe Total Weight Per Length Including Contents and Buoyancy
  • tn : Nominal Wall Thickness

CALCULATOR : Line Pipe Typical Material Properties [FREE]   ±

Calculate typical line pipe elastic modulus, shear modulus, bulk modulus, density, and thermal expansion coefficient of a solid.

The table values of Poisson ratio and bulk modulus are calculated from the elastic modulus and shear modulus. Project specific data should be used if it is available. Use the Result Table option to display a table of properties versus material type.

Tool Input

  • modptype : Material Type
    • Eu : User Defined Elastic Modulus
    • Gu : User Defined Shear Modulus
    • Ku : User Defined Bulk Modulus
    • νu : User Defined Poisson Ratio
    • ρu : User Defined Density
    • αu : User Defined Thermal Expansion Coefficient

Tool Output

  • α : Thermal Expansion Coefficient
  • ν : Poisson Ratio
  • ρ : Density
  • E : Elastic Modulus
  • G : Shear Modulus
  • K : Bulk Modulus