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Pipeline Weight Modules

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CALCULATOR MODULE : Beam Natural Vibration Frequency   ±

Calculate the damped and undamped beam natural vibration frequency for general beams (simply supported, fixed, and cantilever beams). For other beam types (eg circular beams) refer to the module links below.

The lateral natural vibration frequency beam end conditions are: pinned ends (simply supported beams), fixed ends, free fixed ends (cantilever beams), pinned fixed ends, and for beams with no load, pinned free ends, and free ends (unsupported beams). Added mass should be included for submerged or wet beams. The added mass coefficient can be calculated in accordance with DNVGL RP F105. The submerged natural frequency is calculated for still water conditions, with no vortex shedding. For beams on a soft foundation such as soil, use the effective length factor to allow for movement at the beam ends. For defined beam ends such as structures, the effective length factor should be set to one. The buckling load can be calculated using either the Euler equation (suitable for long beams), or the Johnson equation (suitable for short beams). The buckling load is dependent on the end type, and is used for mode 1 vibration only. Buckling normally occurs on the axis with lowest stiffness (I1 or I2). The bending stiffness for vibration and buckling can be defined separately for cases where vibration and buckling are not parallel.

`fn = ca.cd k / (2 π) √((EI) / (m . Le^4)) `
`ca =1 / (1 + F / (Fb))) `
`cd = √(1 - fd^2) `

where :

fn = lateral natural frequency [Hz]
ca = axial load coefficient
cd = damping coefficient
fd = damping factor (0 = undamped 1 = critical damping)
k = mode factor
L = effective beam length
EI = beam E I (bending modulus)
m = beam unit mass or mass per length
F = axial load (+ve in tension and -ve in compression)
Fb = buckling load

The longitudinal natural vibration frequency end conditions are: free fixed ends (cantilever), fixed ends, and free ends (unsupported). The fixed ends and free ends modes have the same natural frequencies, but different mode shapes. The longitudinal natural frequency is independent of cross section, and depends on the beam elastic modulus and density.

`fn = cd k / (2 π L) √(E / ρ) `

where :

fn = natural frequency [Hz]
cd = damping coefficient
k = mode factor
L = beam length
E = beam elastic modulus
ρ = beam density

The torsional natural vibration frequency end conditions are: free fixed ends (cantilever), fixed ends, and free ends (unsupported). The fixed ends and free ends modes have the same natural frequencies, but different mode shapes. The torsional natural frequency is independent of cross section, and depends on the beam shear modulus and density.

`fn = cd k / (2 π L) √(G / ρ) `

where :

fn = natural frequency [Hz]
cd = damping coefficient
k = mode factor
L = beam length
G = beam shear modulus
ρ = beam density

The mode factor k is dependent on the mode number, and the beam end type. The k factors have been taken from the Shock and Vibration handbook. The damping factor should be set to zero for undamped vibration or set greater than zero and less than or equal to one for damped vibration.

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

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 MODULE : Pipe Beam Natural Vibration Frequency   ±

Calculate the damped and undamped pipe natural vibration frequency (simply supported, fixed, and cantilever).

For lateral vibration, the buckling load can be calculated using either the Euler equation (suitable for long beams), or the Johnson equation (suitable for short beams). The buckling load is dependent on the end type, and is used for mode 1 vibration only. Added mass should be included for submerged or wet beams. The added mass coefficient can be calculated in accordance with DNVGL RP F105. The submerged natural frequency is calculated for still water conditions, with no vortex shedding. For beams on a soft foundation such as soil, use the effective length factor to allow for movement at the beam ends. For defined beam ends such as structures, the effective length factor should be set to one. The axial load is calculated from temperature and pressure.

For longitudinal and torsional vibration, the natural frequency is independent of the cross section, and the general beam calculators can be used.

The mode factor k is dependent on the mode number, and the beam end type. The k factors have been taken from the Shock and Vibration handbook. The damping factor should be set to zero for undamped vibration or set greater than zero and less than or equal to one for damped vibration. For multi layer pipes the bending stiffness can be calculated with the concrete stiffness factor (CSF). The CSF accounts for the additional stiffness provided by the external concrete coating. The concrete stiffness factor is calculated in accordance with DNVGL RP F105. Enter the wall thickness for all layers. Only enter the elastic modulus for layers which affect the pipe stiffness.

Use the Result Table and Result Plot options to display tables and plots. Refer to the figures and 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 MODULE : Beam Lateral Vibration Frequency   ±

Calculate the damped and undamped beam natural vibration frequency for lateral vibration (simply supported, fixed, and cantilever beams).

Added mass should be included for submerged or wet beams. The added mass coefficient can be calculated in accordance with DNVGL RP F105. The submerged natural frequency is calculated for still water conditions, with no vortex shedding. For beams on a soft foundation such as soil, use the effective length factor to allow for movement at the beam ends. For defined beam ends such as structures, the effective length factor should be set to one.

The mode factor k is dependent on the mode number, and the beam end type. The k factors have been taken from the Shock and Vibration handbook. The damping factor should be set to zero for undamped vibration or set greater than zero and less than or equal to one for damped vibration. For multi layer pipes the bending stiffness can be calculated with the concrete stiffness factor (CSF). The CSF accounts for the additional stiffness provided by the external concrete coating. The concrete stiffness factor is calculated in accordance with DNVGL RP F105. Enter the wall thickness for all layers. Only enter the elastic modulus for layers which affect the pipe stiffness.

Use the Result Table and Result Plot options to display tables and plots. Refer to the figures and 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 MODULE : Beam Lateral Vibration Frequency With Axial Load   ±

Calculate the damped and undamped beam natural vibration frequency for lateral vibration with axial load (simply supported, fixed, and cantilever beams).

For beams with axial load the axis with minimum stiffness (I1 or I2) should be used unless the beam is constrained to deflect on an alternative axis (buckling normally occurs on the minimum stiffness axis). Use the general beam calculators for cases where vibration and buckling are not parallel. The buckling load can be calculated using either the Euler equation (suitable for long beams), or the Johnson equation (suitable for short beams). The buckling load is dependent on the end type, and is used for mode 1 vibration only.

Added mass should be included for submerged or wet beams. The added mass coefficient can be calculated in accordance with DNVGL RP F105. The submerged natural frequency is calculated for still water conditions, with no vortex shedding. For beams on a soft foundation such as soil, use the effective length factor to allow for movement at the beam ends. For defined beam ends such as structures, the effective length factor should be set to one. For pipes the axial load is calculated from temperature and pressure. For general beams the axial load is user defined.

The mode factor k is dependent on the mode number, and the beam end type. The k factors have been taken from the Shock and Vibration handbook. The damping factor should be set to zero for undamped vibration or set greater than zero and less than or equal to one for damped vibration. For multi layer pipes the bending stiffness can be calculated with the concrete stiffness factor (CSF). The CSF accounts for the additional stiffness provided by the external concrete coating. The concrete stiffness factor is calculated in accordance with DNVGL RP F105. Enter the wall thickness for all layers. Only enter the elastic modulus for layers which affect the pipe stiffness.

Use the Result Table and Result Plot options to display tables and plots. Refer to the figures and 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 MODULE : Beam Torsional Vibration Frequency With End Mass   ±

Calculate beam torsional vibration frequency for a beam with an end mass for modes 1 to 8.

The torsional natural vibration frequency for a beam with an end mass can be calculated by

`fn = β / (2 π L) √(G / ρ) `
`β tan(β) = (Jb)/(Jm) `

where :

fn = natural frequency [Hz]
β = mode factor
L = beam length
G = beam shear modulus
ρ = beam density
Jb = beam mass moment of inertia
Jm = end mass mass moment of inertia

The mode factor (β) can be solved iteratively for each mode (modes 1 to 8). The system is modelled as a beam fixed at one end, with a mass at the other (free) end.

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 MODULE : Beam Vibration Added Mass   ±

Calculate submerged beam added mass coefficient and added mass from gap height.

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. The equation is suitable for undamped vibration of circular beams in a still fluid. For other beam profiles use the beam width. The method may not be valid for other profiles (engineering judgment is required). The gap height is measured along the axis of vibration and is assumed to be perpendicular to the adjacent surface.

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 MODULE : 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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Related Modules :

CALCULATOR MODULE : Beam Bending   ±

Calculate beam bending shear force, bending moment, slope and deflection for general beams using the Euler Bernoulli beam equation.

The Euler Bernoulli beam equation is suitable for slender beams (it does not include the effect of shear), and for small angles (θ < 0.5 rad). The calculations are not valid past the beam end points. For combined loads, the shear force, bending moment, slope and deflection are assumed to be additive. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam.

Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends.

Combined loads include axial loads, point loads, distributed loads, weight loads, concentrated moments, angular displacements, lateral displacements, and uniform temperature gradient.

For beams with compressive axial loads the bending moment, slope and deflection tend to infinity as the axial load tends to the buckling load. For tension loads, the bending moment, slope and deflection decrease with increasing tension. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length.

The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1).

Use the Result Plot option to plot the bending moment, shear force, slope, deflection and stress versus position x. Refer to the figures and help pages for more details. Refer to the links below for other beam options.

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

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CALCULATOR MODULE : Pipe Beam Bending   ±

Calculate beam bending shear force, bending moment, slope and deflection for pipe beams using the Euler Bernoulli beam equation.

The Euler Bernoulli beam equation is suitable for slender beams (it does not include the effect of shear), and for small angles (θ < 0.5 rad). The calculations are not valid past the beam end points. For combined loads, the shear force, bending moment, slope and deflection are assumed to be additive. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam.

Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends.

Combined loads include axial loads, point loads, distributed loads, weight loads, concentrated moments, angular displacements, lateral displacements, and uniform temperature gradient.

For beams with compressive axial loads the bending moment, slope and deflection tend to infinity as the axial load tends to the buckling load. For tension loads, the bending moment, slope and deflection decrease with increasing tension. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length.

The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1).

For multi layer beams the concrete stiffness can be included in EI by multiplying EI by a factor (1 + CSF). The bending stress at the field joint should also be multiplied by the factor (1 + CSF) to account for stress localisation (select the pipe joint option for bending stiffness) . The concrete stiffness factor is calculated from the ratio of concrete EI over beam EI in accordance with DNVGL RP F105. The method is suitable for circular beams and pipes. For other profile shapes engineering judgement is required.

The stress check includes longitudinal stress, Tresca combined stress, and von Mises equivalent stress. The bending stress is calculated at the pipe mid wall. The hoop stress is calculated using the Barlow mid wall equation with the nominal wall thickness.

:

`Sh = (P - Pe) (OD - tn) / (2 tn) `

where :

Sh = hoop stress
P = internal pressure
Pe = external pressure
OD = pipe outside diameter
tn = pipe nominal thickness

Use the Result Plot option to plot the bending moment, shear force, slope, deflection and stress versus position x. Refer to the figures and help pages for more details.

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

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CALCULATOR MODULE : Line Pipe EA And EI   ±
CALCULATOR MODULE : Line Pipe Unit Mass And Weight   ±
CALCULATOR MODULE : Line Pipe Fluid Mass And Volume   ±
CALCULATOR MODULE : Line Pipe Diameter Wall Thickness And Mass Schedule   ±
CALCULATOR MODULE : ASME B31.3 Process Piping Mass And Weight   ±

Calculate ASME B31.3 process piping unit mass (mass per length), unit weight (weight per length), and total mass for metal and plastic pipe. The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe mass and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full piping). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page.

The pipe diameter and thickness are calculated from the pipe schedule. Plastic pipe wall thickness can be defined by wall thickness or diameter ratio (DR or IDR). Select standard diameter ratios from the plastic pipe schedule (SDR or SIDR), or use user defined diameter ratios (DR or IDR). Use the Result Table option to display a table of pipe mass versus schedule wall thickness for the selected diameter.

Reference : ANSI/ASME B31.3 : Process Piping (2018)

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CALCULATOR MODULE : ASME B31.3 Process Piping Fluid Volume And Mass   ±

Calculate ASME B31.3 process piping fluid density, fluid volume and fluid mass for two phase gas liquid piping, and three phase black oil piping (gas water and oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : ANSI/ASME B31.3 : Process Piping (2018)

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CALCULATOR MODULE : ASME B31.4 Liquid Pipeline Mass And Weight   ±

Calculate ASME B31.4 liquid pipeline unit mass (mass per length), unit weight (weight per length), and total mass. The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe unit mass and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page. The line pipe diameter and thickness are calculated from the pipe schedule.

Use the Result Table option to display a table of pipe mass versus schedule wall thickness for the selected diameter.

Reference : ANSI/ASME B31.4 : Pipeline Transportation Systems For Liquids And Slurries (2012)

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CALCULATOR MODULE : ASME B31.4 Liquid Pipeline Fluid Volume And Mass   ±

Calculate ASME B31.4 liquid pipeline fluid density, fluid volume and fluid mass for two phase gas liquid pipelines, and three phase black oil pipelines (gas water and oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : ANSI/ASME B31.4 : Pipeline Transportation Systems For Liquids And Slurries (2012)

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CALCULATOR MODULE : ASME B31.8 Gas Pipeline Mass And Weight   ±

Calculate ASME B31.8 gas pipeline unit mass (mass per length), unit weight (weight per length), and total mass for metal and plastic pipe.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe mass and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page. The line pipe diameter and thickness are calculated from the pipe schedule.

Plastic pipe wall thickness can be defined by wall thickness or diameter ratio (DR or IDR). Select standard diameter ratios from the plastic pipe schedule (SDR or SIDR), or use user defined diameter ratios (DR or IDR). Plastic pipe is generally only used in low pressure distribution systems.

Use the Result Table option to display a table of pipe mass versus schedule wall thickness for the selected diameter.

Reference : ANSI/ASME B31.8 : Gas Transmission And Distribution Piping Systems (2018)

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CALCULATOR MODULE : ASME B31.8 Gas Pipeline Fluid Volume And Mass   ±

Calculate ASME B31.8 gas pipeline fluid density, fluid volume and fluid mass for two phase gas liquid piping, and three phase black oil piping (gas water and oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : ANSI/ASME B31.8 : Gas Transmission And Distribution Piping Systems (2018)

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CALCULATOR MODULE : ASME B31.1 Power Piping Mass And Weight   ±

Calculate ASME B31.1 power piping unit mass (mass per length), unit weight (weight per length), and total mass for metal and plastic pipe.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe unit mass (mass per length) and unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full piping). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page.

Plastic pipe wall thickness can be defined by wall thickness or diameter ratio (DR or IDR). Select standard diameter ratios from the plastic pipe schedule (SDR or SIDR), or use user defined diameter ratios (DR or IDR). Plastic pipe is generally only used in low pressure auxilliary systems.

Use the Result Table option to display a table of pipe mass or pipe weight versus wall thickness for the selected diameter.

Reference : ANSI/ASME B31.1 : Power Piping (2014)

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CALCULATOR MODULE : ASME B31.1 Power Piping Steam Mass And Flow Rate   ±

Calculate ASME B31.1 power piping steam mass, velocity and flow rate from the steam table (IAPWS R7-97 Steam Table).

Steam mass and volume can be calculated from steam temperature and pressure, and either steam mass, steam volume, or piping length. Steam flow rate and velocity can be calculated from steam temperature and pressure, and either steam mass flow rate, steam volume flow rate, or steam velocity.

Steam properties can be calculated for water and steam, saturated water, saturated steam, saturated water and steam, metastable water, and metastable steam. The calculations for water and steam are valid between 273.15 K and 1073.15 K (0 to 100 MPa), and between 1073.15 K and 2273.15 K (0 to 50 MPa).

The saturated water and steam calculations are valid between 273.15 K and 647.096 K.

The metastable calculation is valid between 273.15 K and 647.096 K, and for pressure from the saturated vapour line to the 5% equilibium moisture line (user defined).

Note : There is an anomaly in the steam calculation for region 3 between the saturated vapour line, the regions 2/3 boundary, and the critical pressure. Refer to the region 3 anomaly help page for more details (click the utility button on the data bar).

Reference : ANSI/ASME B31.1 : Power Piping (2014)

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CALCULATOR MODULE : ASME B31.5 Refrigeration Piping Mass And Weight   ±

Calculate ASME B31.5 refrigeration piping unit mass (mass per length), unit weight (weight per length), and total mass.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe mass and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines).

Calculate pipeline fluid density, fluid volume and fluid mass for two phase gas liquid piping. The two phase gas liquid calculator can also be used to calculate the density of single phase gas.

Use the Result Table option to display a table of pipe properties versus schedule wall thickness for the selected diameter. For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page. The line pipe diameter and thickness are calculated from the pipe schedule.

Reference : ANSI/ASME B31.5 : Refrigeration Piping And Heat Transfer Components (2013)

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Related Modules :

CALCULATOR MODULE : ASME B31.5 Refrigeration Piping Fluid Volume And Mass   ±

Calculate ASME B31.5 refrigeration piping fluid volume and mass for two phase gas and liquid.

The two phase gas liquid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : ANSI/ASME B31.5 : Refrigeration Piping And Heat Transfer Components (2013)

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Related Modules :

CALCULATOR MODULE : Pipeline Fluid Volume And Mass   ±

Calculate pipeline fluid volume, density and mass for two phase gas liquid, three phase gas oil and water (black oil), single phase gas, and single phase liquid.

Two phase gas liquid density is calculated from the gas oil ratio (GOR). Three phase black oil density is calculated from the gas oil ratio (GOR), and water cut (WC). Single phase gas density is calculated from temperature, pressure, specific gravity (relative to air), and compressibility factor. Single phase liquid density can be calcuated from specific gravity, degrees Baume (Be+), degrees Baume (Be-), degrees API, or degrees Twaddell.

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CALCULATOR MODULE : DNVGL ST F101 Submarine Pipeline Flotation   ±

Calculate DNVGL-ST-F101 submarine pipeline flotation and vertical stability.

Select either the empty pipe or full pipe option. For vertical stability, the pipe specific gravity should be greater than or equal to 1.1.

The number of pipe internal and external layers, and the names of the layers can be changed on the setup page. The first internal layer is the line pipe. The line pipe wall thickness can either be selected from the pipe schedule, or the input value is used as the user defined value.

Reference : DNVGL-ST-F101 : Submarine Pipeline Systems (Download from the DNVGL website)

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CALCULATOR MODULE : DNVGL ST F101 Submarine Pipeline Mass And Weight   ±

Calculate DNVGL-ST-F101 subsea pipeline unit mass (mass per length), and total mass from length.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass and weight versus schedule wall thickness for the selected diameter.

Reference : DNVGL-ST-F101 : Submarine Pipeline Systems (Download from the DNVGL website)

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CALCULATOR MODULE : DNVGL ST F101 Submarine Pipeline Fluid Mass And Volume   ±

Calculate DNVGL-ST-F101 subsea pipeline fluid volume and mass for two phase gas and liquid, and three phase oil, water and gas (black oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : DNVGL-ST-F101 : Submarine Pipeline Systems (Download from the DNVGL website)

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CALCULATOR MODULE : Hot Pipeline Soil Weight   ±
CALCULATOR MODULE : Hot Pipeline Mass And Weight   ±

Calculate high temperature pipeline unit mass (mass per length), and total mass from length.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length. Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass and weight versus schedule wall thickness for the selected diameter.

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CALCULATOR MODULE : API RP 1111 Pipeline Mass And Weight   ±

Calculate API RP 1111 limit state pipeline unit mass (mass per length), unit weight (weight per length), and total mass.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length.

Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). The pipe diameter can be defined by either the outside diameter or the inside diameter. For multi layer pipelines, the first internal layer is the line pipe. The line pipe diameter and thickness are calculated from the pipe schedule. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass versus wall thickness for the selected diameter.

Reference : API RP 1111 : Design, Construction, Operation, and Maintenance of Offshore Hydrocarbon Pipelines (Limit State Design) (2011)

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CALCULATOR MODULE : API RP 1111 Pipeline Fluid Volume And Mass   ±

Calculate API RP 1111 limit state pipeline fluid volume and fluid mass for two phase gas liquid piping, and three phase black oil piping (gas water and oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : API RP 1111 : Design, Construction, Operation, and Maintenance of Offshore Hydrocarbon Pipelines (Limit State Design) (2011)

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CALCULATOR MODULE : API RP 1102 Pipeline Mass And Weight   ±

Calculate API RP 1102 steel pipeline unit mass (mass per length), unit weight (weight per length), and total mass.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length.

Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). The pipe diameter can be defined by either the outside diameter or the inside diameter. For multi layer pipelines, the first internal layer is the line pipe. The line pipe diameter and thickness are calculated from the pipe schedule. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass versus wall thickness for the selected diameter.

Reference : API RP 1102 : Steel Pipelines Crossing Railroads and Highways (2012)

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CALCULATOR MODULE : API 5L Line Pipe Mass Tolerance   ±

Calculate API 5L line pipe unit mass (mass per length) and total mass from diameter, wall thickness and density.

Pipe mass can be calculated with API 5l tolerances, or as mass schedule with no tolerances. Tolerances can be calculated from API 5L, or specified as either a mass allowance or a mass fraction. To calculate mass per joint, enter the joint length as the pipe length. For construction quantities, enter the total pipe length as the pipe length. The API 5L negative tolerance is reduced if the total mass is greater than 18 tonne.

References :

API 5L : Specification for Line Pipe (2007)
ISO 3183 : Petroleum and Natural Gas Industries - Steel Pipe For Pipeline Transportation Systems (2007)

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CALCULATOR MODULE : AS 2885.1 Pipeline Mass And Weight   ±

Calculate AS 2885.1 pipeline unit mass (mass per length), unit weight (weight per length), and total mass.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length.

Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). The pipe diameter can be defined by either the outside diameter or the inside diameter. For multi layer pipelines, the first internal layer is the line pipe. The line pipe diameter and thickness are calculated from the pipe schedule. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass versus wall thickness for the selected diameter.

Reference : Australian Standard AS 2885.1 : Pipelines - Gas And Liquid Petroleum Part 1 : Design And Construction (2015)

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CALCULATOR MODULE : AS 2885.1 Pipeline Fluid Volume And Mass   ±

Calculate AS 2885.1 pipeline fluid volume and fluid mass for two phase gas liquid piping, and three phase black oil piping (gas water and oil).

The two phase fluid calculator can be used for single phase gas, single phase liquid, or two phase gas and liquid. The three phase black oil calculator can be used for single phase oil, single phase water, two phase oil and water, and three phase oil, water and gas. Water cut is the volume fraction of water in the liquid phase (ignoring the gas phase). Gas oil ratio (GOR) is the ratio of gas moles to liquid volume (ignoring the water phase). Gas moles are commonly measured as gas volume at standard conditions, eg SCM (Standard Conditions Meter) or SCF (Standard Conditions Feet).

Reference : Australian Standard AS 2885.1 : Pipelines - Gas And Liquid Petroleum Part 1 : Design And Construction (2015)

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CALCULATOR MODULE : Liquid Pipeline Fluid Mass And Volume   ±

Calculate single phase liquid pipeline fluid mass and volume from fluid density and pipe length.

Pipe volume can be specified by volume, mass, or pipe length. Fluid density can be defined by density, specific gravity, degrees Baume, degrees Twaddell, or degrees API. For liquids lighter than or equal to water the density can be defined as degrees API, or degrees Baume (Be-). For liquids heavier than water the density can be defined by degrees Baume (Be+), or degrees Twaddell.

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CALCULATOR MODULE : Liquid Pipeline Unit Weight   ±

Calculate single phase liquid pipeline unit mass (mass per length), and unit weight (weight per length).

Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). The pipe diameter can be defined by either the outside diameter or the inside diameter. For multi layer pipelines, the first internal layer is the line pipe. The line pipe diameter and thickness are calculated from the pipe schedule. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass and weight versus wall thickness for the selected diameter.

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CALCULATOR MODULE : Gas Pipeline Fluid Mass And Volume   ±

Calculate single phase gas pipeline fluid mass and volume.

Fluid mass and volume can be calculated from fluid volume, fluid mass, or pipeline length. Gas density is calculated from temperature and pressure. The gas specific gravity is the ratio of gas density over the density of dry air at base temperature and pressure. The compressibility factor is assumed to equal 1 at the base conditions. The gas specific gravity is proportional to the gas molar mass.

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CALCULATOR MODULE : Gas Pipeline Mass And Weight   ±

Calculate single phase gas pipeline unit mass (mass per length), and unit weight (weight per length).

Pipe unit mass (mass per length) and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). The pipe diameter can be defined by either the outside diameter or the inside diameter. For multi layer pipelines, the first internal layer is the line pipe. The line pipe diameter and thickness are calculated from the pipe schedule. Change the number of layers on the setup page.

Use the Result Table option to display a table of pipe mass and weight versus wall thickness for the selected diameter.

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CALCULATOR MODULE : API RP 14E Piping Mass And Weight   ±

Calculate API RP 14E platform piping unit mass (mass per length), unit weight (weight per length), and total mass from length.

The mass per joint can be calculated from the joint length. Construction quantities can be calculated from the total pipe length.

Pipe mass and pipe unit weight (weight per length) can be calculated for multi layer pipelines (dry empty, dry full, wet empty and wet full pipelines). For multi layer pipelines, the first internal layer is the line pipe. Change the number of layers on the setup page. The line pipe layer diameter and thickness are calculated from the pipe schedule.

Use the Result Table option to display a table of pipe mass and weight versus wall thickness for the selected diameter.

Reference : API 14E Recommended Practice For Design and Installation of Offshore Production Platform Piping Systems

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CALCULATOR MODULE : Pipeline Flow Rate   ±
CALCULATOR MODULE : IAPWS R7-97 Steam Volume And Mass   ±

Calculate IAPWS R7-97 steam table properties, and steam energy from temperature, pressure and mass.

Steam table properties can be calculated for water and steam, saturated water, saturated steam, saturated water and steam, metastable water, and metastable steam. The enthalpy and internal energy are calculated from the mass. Use the Result Plot option to plot the steam properties versus temperature and pressure.

Note : There is an anomaly in the steam calculation for region 3 between the saturated vapour line, the region 2/3 boundary, and the critical pressure. Refer to the region 3 anomaly help page for more details (click the utility button on the data bar). IAPWS R7-97 is intended for industrial use, and is a simplified version of IAPWS R6-95 for scientific use. IAPWS R7-97 was developed as an improvement of the IFC-67 model.

Reference : IAPWS R7-97 Industrial Formulation for thermodynamic Properties of Water and Steam

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CALCULATOR MODULE : IAPWS R7-97 Steam Volume And Mass Flow Rate   ±

Calculate IAPWS R7-97 steam table properties, and steam power from temperature, pressure and mass flow rate.

Steam table properties can be calculated for water and steam, saturated water, saturated steam, saturated water and steam, metastable water, and metastable steam. The enthalpy rate and internal energy rate (or power) are calculated from the mass flow rate.

Note : There is an anomaly in the steam calculation for region 3 between the saturated vapour line, the region 2/3 boundary, and the critical pressure. Refer to the region 3 anomaly help page for more details (click the utility button on the data bar). IAPWS R7-97 is intended for industrial use, and is a simplified version of IAPWS R6-95 for scientific use. IAPWS R7-97 was developed as an improvement of the IFC-67 model.

Reference : IAPWS R7-97 Industrial Formulation for thermodynamic Properties of Water and Steam

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CALCULATOR MODULE : Soil Pipe Cover Weight And Uplift Resistance   ±

Calculate soil and pipe cover weight and uplift resistance for buried pipelines.

The cover weight can be calculated for either cohesive and non cohesive soils. The uplift resistance includes the weight of the pipe (either dry or submnerged and full or empty). For dry pipelines use the specific weight of dry soil. For wet pipelines use the specific weight of wet soil.

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CALCULATOR MODULE : Subsea Pipeline Submerged Weight   ±

Calculate subsea pipeline submerged weight and specific gravity.

The specific gravity is the ratio of pipe mass over the mass of the displaced fluid. Objects heavier than water have a specific gravity greater than one.

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DATA MODULE : Soil Properties : Density Uplift Coefficient Shear Strength And Friction Factor ( Open In Popup Workbook )   ±

Soil properties, soil density, uplift coefficient, shear strength and friction factors.

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