Pipeng Toolbox : Piping Section Modulus Calculators Blank User
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Line Pipe Section Modulus

Calculate pipeline EI and section modulus.

The section modulus is equal to the moment of inertia divided by the length from the centroid to the outer fibre (the outside radius).

`Zs = I / Y `

where :

Zs = Section Modulus
I = Moment Of Inertia Or Second Area Moment
Y = Length To Outer Fiber

The section modulus can be used to calculate the maximum bending stress from the bending moment

`SB = (BM) / (Zs) `

where :

SB = Bending Stress
BM = Bending Moment

For a pipe the the outer fiber length Y = the pipe radius. For combined stress calculations, the pipe mid wall radius can be used as the outer fiber length. This is based on the non linear stress distribution through the pipe wall. A mid wall approximation from DNVGL is also included.

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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 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