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Line Pipe Concrete Stiffness Factor

Calculate pipe concrete stiffness factor and effective EI from the concrete beam EI ratio.

The concrete stiffness factor is used to account for the effect of the concrete layer on the pipe EI. The concrete stiffness factor is calculated from the ratio of concrete EI over pipe EI in accordance with DNVGL RP F105. The effective EI can be calculated for asphalt coating, PE/PP coating, user defined coating factor Kc, user defined concrete stiffness factor CSF, or from the sum of the internal and external EI.

Use the Result Table and Result Plot options to display preset tables and plots. Refer to the help pages for more details about the tools.

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CALCULATOR : Line Pipe Concrete Stiffness Factor (General Pipe) [FREE]   ±

Calculate line pipe concrete stiffness factor and effective EI from the concrete pipe EI ratio for general pipe.

The concrete stiffness factor is used to account for the effect of the concrete layer on the bending modulus EI and the natural frequency. The concrete stiffness factor is calculated from the ratio of concrete EI over pipe EI.

`CSF= A ((EIc) / (EIp))^0.75 `
`EI = EIp (1 + CSF) `

where :

CSF = concrete stiffness factor
EIc = concrete EI
EIp = pipe EI
EI = effective EI
A = 0.33 for asphalt coating and 0.25 for PP/PE coating

The concrete stiffness factor is calculated in accordance with DNVGL RP F105. Use the Result Plot option to plot the concrete stiffness factor (CSF) versus EI ratio and CSF type, or effective EI versus EI ratio and CSF type. Refer to the help pages for more details.

Reference : DNVGL RP F105 Free Spanning Pipelines (Download From DNVGL website)

Tool Input

  • coptype : Cross Section Type
    • EIcu : User Defined Concrete E x I
    • EIC/EIPu : User Defined E x I Ratio
  • csftype : Concrete Stiffness Factor Type
    • Kcu : User Defined Coating Factor
    • CSFu : User Defined Concrete Stiffness Factor
  • EIp : Beam E x I

Tool Output

  • CSF : Concrete Stiffness Factor
  • EI : Effective E x I
  • EIC/EIP : E x I Ratio

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