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Beam Cross Section

Calculate beam cross section properties for circular pipes: cross section area, moment of inertia, polar moment of inertia, mass moment of inertia, section modulus, EI, EA, EAα, unit mass, total mass, unit weight and specific gravity.

Unit mass can be calculated with or without added mass. Added mass is included in the unit mass for submerged beams to account for the fluid which is displaced by the beam. The added mass coefficient can be calculated in accordance with DNVGL RP F105. For multi layer pipes the bending stifness can be calculated with the concrete stiffness factor (CSF). The CSF accounts for the additional stiffness provided by the external concrete coating. Use the Result Table option to display the cross section properties versus wall thickness. Refer to the help pages for more details.

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

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CALCULATOR : Beam Cross Section Properties (Circular Pipe) [PLUS]   ±

Calculate beam cross section properties for a circular pipe.

Unit mass can be calculated with or without added mass. Added mass is included in the unit mass for submerged beams to account for the fluid which is displaced by the beam. The added mass coefficient is calculated in accordance with DNVGL RP F105. EAα is required for beams with axial load. Use the Result Table option to display the cross section properties versus wall thickness. Refer to the help pages for more details.

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
    • αu : User Defined Thermal Expansion Coefficient
    • Eu : User Defined Elastic Modulus
    • ρpu : User Defined Density
  • zstype : Pipe Section Modulus Type
  • mmtype : Added Mass Type
    • ρe : External Fluid Density
    • Cmu : User Defined Added Mass Coefficient
    • G : Gap Height
  • mltype : Unit Mass Type
  • L : Length
  • ρi : Internal Fluid Density

Tool Output

  • α : Thermal Expansion Coefficient
  • ρp : Line Pipe Density
  • AX : Line Pipe Cross Section Area
  • E : Elastic Modulus
  • EA : Pipe And Liner E x A
  • EAα : Pipe And Liner E x A x alpha
  • EI : E x I
  • I : Pipe Moment Of Inertia
  • ID : Nominal Inside Diameter
  • Ip : Pipe Polar Moment Of Inertia
  • J : Pipe Mass Moment Of Inertia
  • L/r : Slenderness Ratio
  • M : Total Mass
  • Mc : Contents Mass
  • Mp : Line Pipe Mass
  • OD : Nominal Outside Diameter
  • SG : Pipe Specific Gravity (Including Contents)
  • Zs : Pipe Section Modulus
  • cm : Added Mass Coefficient
  • m : Mass Per Unit Length (Including Contents)
  • ma : Added Unit Mass
  • mc : Contents Unit Mass
  • md : Displaced Fluid Unit Mass
  • mp : Line Pipe Unit Mass
  • r : Radius Of Gyration
  • tn : Nominal Wall Thickness
  • w : Weight Per Unit Length (Including Contents And Buoyancy)

CALCULATOR : Beam Cross Section Properties (Multi Layer Pipe) [PLUS]   ±

Calculate beam cross section properties for a multi layer pipe.

Unit mass can be calculated with or without added mass. Added mass is included in the unit mass for submerged beams to account for the fluid which is displaced by the beam. The added mass coefficient is calculated in accordance with DNVGL RP F105. EAα is required for beams with axial load. The bending stifness can be calculated with the concrete stiffness factor (CSF). The CSF accounts for the additional stiffness provided by the external concrete coating.

Enter the wall thickness for all layers. Only enter the elastic modulus for layers which will contribute to either ExA or EI. ExA and EAα are calculated for the inside layers only. Use the Result Table option to display the cross section properties versus wall thickness. Refer to the help pages for more details.

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

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 : Axial Stiffness Modulus Type
    • Kcu : User Defined Coating Factor
    • CSFu : User Defined Concrete Stiffness Factor
  • zstype : Pipe Section Modulus Type
  • mmtype : Mass Type
    • ρe : User Defined External Fluid Density
    • Cmu : User Defined Added Mass Coefficient
    • G : Gap Height
  • mltype : Mass Type
  • WTi : Pipe Liner Wall Thickness
  • ρi : Pipe And Liner Density
  • Ei : Pipe And Liner Elastic Modulus
  • αi : Pipe And Liner Thermal Expansion Coefficient
  • νi : Pipe And Liner Poisson's Ratio
  • WTo : Pipe Coating Wall Thickness
  • ρo : Pipe Coating Density
  • Eo : Pipe Coating Elastic Modulus
  • L : Length
  • ρf : Internal Fluid Density

Tool Output

  • ν : Effective Poisson Ratio
  • CSF : Concrete Stiffness factor
  • Cm : Added Mass Coefficient
  • EA : Axial Stiffness Modulus (E x A)
  • EAα : Thermal Expansion Modulus (E x A x alpha)
  • EI : Effective Axial Stiffness Modulus (E x I)
  • EIc : Concrete E x I
  • EIp : Pipe E x I
  • I : Pipe Moment Of Inertia
  • IID : Pipe Inside Diameter Including Liners
  • Ip : Pipe Polar Moment Of Inertia
  • J : Pipe Mass Moment Of Inertia
  • Kc : Coating Factor
  • L/r : Slenderness Ratio
  • M : Total Mass
  • Mc : Contents Mass
  • Mp : Pipe Mass Including Layers
  • OD : Line Pipe Diameter
  • OOD : Pipe Outer Diameter Including Coatings
  • SG : Pipe Specific Gravity (Including Contents)
  • Zs : Pipe Section Modulus
  • m : Mass Per Unit Length (Including Contents)
  • md : Displaced Fluid Unit Mass
  • mla : Added Unit Mass
  • mlc : Contents Unit Mass
  • mlp : Pipe Unit Mass Including Liner And Coating
  • r : Radius Of Gyration
  • tn : Line Pipe Thickness
  • w : Weight Per Unit Length (Including Contents And Buoyancy)

CALCULATOR : Beam Cross Section 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

CALCULATOR : Beam Cross Section Yield Stress [FREE]   ±

Calculate beam yield stress (SMYS) and tensile stress (SMTS).

Select one of the API, ASME or DNV stress table options. Use the Result Table option to display the stress values for the selected stress table.

Tool Input

  • syutype : Stress Table Type
  • mattype : Material Type
    • SMYSu : User Defined Specified Minimum Yield Stress
    • SMTSu : User Defined Specified Minimum Tensile Stress

Tool Output

  • SMTS : Specified Minimum Tensile Stress
  • SMTS/SMYS : Tensile Stress Over Yield Stress Ratio
  • SMYS : Specified Minimum Yield Stress
  • SMYS/SMTS : Yield Stress Over Tensile Stress Ratio

CALCULATOR : Beam Cross Section Material Property [FREE]   ±

Calculate beam elastic modulus, shear modulus, bulk modulus, density, and thermal expansion coefficient.

The table values of Poisson ratio and bulk modulus are calculated from the elastic modulus and shear modulus. 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