Percent Elongation in Mooring Line Calculator

✖Elongation in the Mooring Line [length]. A mooring is any permanent structure to which a vessel may be secured.ⓘ Elongation in the Mooring Line [Δl_n]			+10% -10%
✖Length of Mooring Line [length]. Lines (or cables) used to secure a ship at a berth. Mooring lines should be arranged as symmetrically as possible about the midship point of the ship.ⓘ Length of Mooring Line [ln]			+10% -10%

✖Percent elongation in a Mooring Line is defined as a percentage of change in length at predefined loads.ⓘ Percent Elongation in Mooring Line [ε_m]

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Formula

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Percent Elongation in Mooring Line

Formula

`"ε"_{"m"} = 100*("Δl"_{"n"}/"ln")`

Example

`"50"=100*("5m"/"10m")`

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Percent Elongation in Mooring Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percent elongation in a Mooring Line = 100*(Elongation in the Mooring Line/Length of Mooring Line)
ε_m = 100*(Δl_n/ln)
This formula uses 3 Variables

Variables Used

Percent elongation in a Mooring Line - Percent elongation in a Mooring Line is defined as a percentage of change in length at predefined loads.
Elongation in the Mooring Line - (Measured in Meter) - Elongation in the Mooring Line [length]. A mooring is any permanent structure to which a vessel may be secured.
Length of Mooring Line - (Measured in Meter) - Length of Mooring Line [length]. Lines (or cables) used to secure a ship at a berth. Mooring lines should be arranged as symmetrically as possible about the midship point of the ship.

STEP 1: Convert Input(s) to Base Unit

Elongation in the Mooring Line: 5 Meter --> 5 Meter No Conversion Required
Length of Mooring Line: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_m = 100*(Δl_n/ln) --> 100*(5/10)

Evaluating ... ...

ε_m = 50

STEP 3: Convert Result to Output's Unit

50 --> No Conversion Required

FINAL ANSWER

50 <-- Percent elongation in a Mooring Line

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 12 Mooring Calculators

Undamped Natural Period of Vessel

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

Effective Spring Constant given Undamped Natural Period

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

Virtual Mass of Vessel given Undamped Natural Period

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

Individual Stiffness of Mooring Line

Go Individual Stiffness of a Mooring Line = 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)

Length of Mooring Line given percent Elongation in Mooring Line

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

Percent Elongation in Mooring Line

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

Mass of Vessel due to Inertial Effects of Water entrained with Vessel

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

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

Percent Elongation in Mooring Line Formula

Percent elongation in a Mooring Line = 100*(Elongation in the Mooring Line/Length of Mooring Line)
ε_m = 100*(Δl_n/ln)

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 Percent Elongation in Mooring Line?

Percent Elongation in Mooring Line calculator uses Percent elongation in a Mooring Line = 100*(Elongation in the Mooring Line/Length of Mooring Line) to calculate the Percent elongation in a Mooring Line, Percent Elongation in Mooring Line, This formulation assumes that cable dynamics can be neglected, and that natural frequency of mooring line in longitudinal and transverse vibration is much higher than surge frequency of ship. Percent elongation in a Mooring Line is denoted by ε_m symbol.

How to calculate Percent Elongation in Mooring Line using this online calculator? To use this online calculator for Percent Elongation in Mooring Line, enter Elongation in the Mooring Line (Δl_n) & Length of Mooring Line (ln) and hit the calculate button. Here is how the Percent Elongation in Mooring Line calculation can be explained with given input values -> 50 = 100*(5/10).

FAQ

What is Percent Elongation in Mooring Line?

Percent Elongation in Mooring Line, This formulation assumes that cable dynamics can be neglected, and that natural frequency of mooring line in longitudinal and transverse vibration is much higher than surge frequency of ship and is represented as ε_m = 100*(Δl_n/ln) or Percent elongation in a Mooring Line = 100*(Elongation in the Mooring Line/Length of Mooring Line). Elongation in the Mooring Line [length]. A mooring is any permanent structure to which a vessel may be secured & Length of Mooring Line [length]. Lines (or cables) used to secure a ship at a berth. Mooring lines should be arranged as symmetrically as possible about the midship point of the ship.

How to calculate Percent Elongation in Mooring Line?

Percent Elongation in Mooring Line, This formulation assumes that cable dynamics can be neglected, and that natural frequency of mooring line in longitudinal and transverse vibration is much higher than surge frequency of ship is calculated using Percent elongation in a Mooring Line = 100*(Elongation in the Mooring Line/Length of Mooring Line). To calculate Percent Elongation in Mooring Line, you need Elongation in the Mooring Line (Δl_n) & Length of Mooring Line (ln). With our tool, you need to enter the respective value for Elongation in the Mooring Line & Length of 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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