Beam Section Concrete Stiffness Calculators

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Beam Cross Section Concrete Stiffness Factor

Calculate beam cross section concrete stiffness factor (CSF) and effective EI from the concrete to beam EI ratio.

Concrete stiffness can be included in EI by multiplying EI by a factor (1 + CSF). The bending stress should also be multiplied by the factor (1 + CSF) to account for stress localisation at the field joints.

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. The method is suitable for circular beams and pipes. For other profile shapes engineering judgement is required.

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 : Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill

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

Beam Cross Section Concrete Stiffness Factor

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Tool Input

Tool Output