Pipeng Toolbox : Beam Vibration Concrete Stiffness Calculators Blank User
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Beam Vibration Concrete Stiffness Factor CSF

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

`CSF = kc ((EIc) / (EIp))^0.75 `
`EIe = EIc (1 + CSF) `

where :

CSF = concrete stiffness factor
kc = coating factor (kc = 0.33 for asphalt and 0.25 for PP/PE coating)
EIc = concrete bending stiffness
EIb = pipe bending stiffness
EIe = eqivalent bending stiffness

The concrete stiffness factor is used to account for the effect of the concrete layer on the natural frequency, deflection and bending stress. The concrete stiffness factor is calculated from the ratio of concrete EI over pipe EI. The concrete stiffness factor is calculated in accordance with DNVGL RP F105. The method is suitable for circular pipes. The method may not be valid for other profiles (engineering judgment is required).

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

References :

Shock And Vibration Handbook, Cyril M Harris, McGraw Hill
Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill

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

Calculate beam concrete stiffness factor and effective EI from the concrete beam EI ratio for a general pipeline.

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 beam 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. The method is suitable for circular pipes. 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 : Beam Vibration Line Pipe Schedule [FREE]   ±

Calculate line pipe schedule outside diameter inside diameter and wall thickness.

Select the pipe schedule (NPS or ISO etc), pipe diameter and wall thickness, or use the user defined option. Use the Result Table option to display the pipe schedule for the selected diameter.

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

Tool Output

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