✖Axial Tension or Load on a Mooring Line is the maximum load that a mooring line should be subjected to in operational service, calculated from the standard environmental criteria.ⓘ Axial Tension or Load on a Mooring Line [T_n']			+10% -10%
✖Individual Stiffness of a Mooring Line refers to the resistance of the line to stretching or deforming under applied loads, such as those from vessels or environmental forces like waves and currents.ⓘ Individual Stiffness of a Mooring Line [k_n]			+10% -10%

✖Mooring Line Elongation refers to the total weight of a ship or boat, including its cargo, fuel, crew, and any other onboard items.ⓘ Elongation in Mooring Line given Individual Stiffness of Mooring Line [Δl_n]

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Formula

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Elongation in Mooring Line given Individual Stiffness of Mooring Line

Formula

`"Δl"_{"n"} = "T"_{"n'"}/"k"_{"n"}`

Example

`"1600m"="160kN"/"100.0"`

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Elongation in Mooring Line given Individual Stiffness of Mooring Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line
Δl_n = T_n'/k_n
This formula uses 3 Variables

Variables Used

Mooring Line Elongation - (Measured in Meter) - Mooring Line Elongation refers to the total weight of a ship or boat, including its cargo, fuel, crew, and any other onboard items.
Axial Tension or Load on a Mooring Line - (Measured in Newton) - Axial Tension or Load on a Mooring Line is the maximum load that a mooring line should be subjected to in operational service, calculated from the standard environmental criteria.
Individual Stiffness of a Mooring Line - Individual Stiffness of a Mooring Line refers to the resistance of the line to stretching or deforming under applied loads, such as those from vessels or environmental forces like waves and currents.

STEP 1: Convert Input(s) to Base Unit

Axial Tension or Load on a Mooring Line: 160 Kilonewton --> 160000 Newton (Check conversion here)
Individual Stiffness of a Mooring Line: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δl_n = T_n'/k_n --> 160000/100

Evaluating ... ...

Δl_n = 1600

STEP 3: Convert Result to Output's Unit

1600 Meter --> No Conversion Required

FINAL ANSWER

1600 Meter <-- Mooring Line Elongation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Important Formulas of Mooring Forces » Elongation in Mooring Line given Individual Stiffness of Mooring Line

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< 25 Important Formulas of Mooring Forces Calculators

Average Current Speed for Form Drag of Vessel

Go Longshore Current Speed = sqrt(Form Drag of a Vessel/0.5*Water Density*Form Drag Coefficient*Vessel Beam*Vessel Draft*cos(Angle of the Current))

Form Drag Coefficient given Form Drag of Vessel

Go Form Drag Coefficient = Form Drag of a Vessel/(0.5*Water Density*Vessel Beam*Vessel Draft*Average Current Speed^2*cos(Angle of the Current))

Vessel Draft given Form Drag of Vessel

Go Vessel Draft = Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Average Current Speed^2*cos(Angle of the Current))

Propeller Drag Coefficient given Propeller Drag

Go Propeller Drag Coefficient = Vessel Propeller Drag/(0.5*Water Density*Expanded or Developed Blade Area of a Propeller*Average Current Speed^2*cos(Angle of the Current))

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

Go Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel))

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current)

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

Go Coefficient of Drag = Drag Force/(0.5*Air Density*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Projected Area of Vessel above Waterline given Drag Force due to Wind

Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Undamped Natural Period of Vessel

Go Undamped Natural Period of a Vessel = 2*pi*(sqrt(Virtual Mass of the Ship/Effective Spring Constant))

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed Blade Area of a Propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Individual Stiffness of Mooring Line

Go Individual Mooring Line Stiffness = Axial Tension or Load on a Mooring Line/Elongation in the Mooring Line

Elongation in Mooring Line given Individual Stiffness of Mooring Line

Go Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line

Axial Tension or Load given Individual Stiffness of Mooring Line

Go Axial Tension or Load on a Mooring Line = Mooring Line Elongation*Individual Stiffness of a Mooring Line

Elongation in Mooring Line given Percent Elongation in Mooring Line

Go Elongation in the Mooring Line = Length of Mooring Line*(Percent Elongation in a Mooring Line/100)

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the Desired Elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Mass of Vessel given Virtual Mass of Vessel

Go Mass of a Vessel = Virtual Mass of the Ship-Mass of Vessel due to Inertial Effects

Virtual Mass of Vessel

Go Virtual Mass of the Ship = Mass of a Vessel+Mass of Vessel due to Inertial Effects

Elongation in Mooring Line given Individual Stiffness of Mooring Line Formula

Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line
Δl_n = T_n'/k_n

What are Ocean Moorings?

A mooring in oceanography is a collection of devices connected to a wire and anchored on the sea floor. It is the Eulerian way of measuring ocean currents, since a mooring is stationary at a fixed location. In contrast to that, the Lagrangian way measures the motion of an oceanographic drifter, the Lagrangian drifter

How to Calculate Elongation in Mooring Line given Individual Stiffness of Mooring Line?

Elongation in Mooring Line given Individual Stiffness of Mooring Line calculator uses Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line to calculate the Mooring Line Elongation, The Elongation in Mooring Line given Individual Stiffness of Mooring Line is defined as the parameter influencing individual stiffness for taut mooring line in which sag is negligible and deflections are small. Mooring Line Elongation is denoted by Δl_n symbol.

How to calculate Elongation in Mooring Line given Individual Stiffness of Mooring Line using this online calculator? To use this online calculator for Elongation in Mooring Line given Individual Stiffness of Mooring Line, enter Axial Tension or Load on a Mooring Line (T_n') & Individual Stiffness of a Mooring Line (k_n) and hit the calculate button. Here is how the Elongation in Mooring Line given Individual Stiffness of Mooring Line calculation can be explained with given input values -> 1600 = 160000/100.

FAQ

What is Elongation in Mooring Line given Individual Stiffness of Mooring Line?

The Elongation in Mooring Line given Individual Stiffness of Mooring Line is defined as the parameter influencing individual stiffness for taut mooring line in which sag is negligible and deflections are small and is represented as Δl_n = T_n'/k_n or Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line. Axial Tension or Load on a Mooring Line is the maximum load that a mooring line should be subjected to in operational service, calculated from the standard environmental criteria & Individual Stiffness of a Mooring Line refers to the resistance of the line to stretching or deforming under applied loads, such as those from vessels or environmental forces like waves and currents.

How to calculate Elongation in Mooring Line given Individual Stiffness of Mooring Line?

The Elongation in Mooring Line given Individual Stiffness of Mooring Line is defined as the parameter influencing individual stiffness for taut mooring line in which sag is negligible and deflections are small is calculated using Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line. To calculate Elongation in Mooring Line given Individual Stiffness of Mooring Line, you need Axial Tension or Load on a Mooring Line (T_n') & Individual Stiffness of a Mooring Line (k_n). With our tool, you need to enter the respective value for Axial Tension or Load on a Mooring Line & Individual Stiffness of a Mooring Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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