✖Virtual Mass of the Ship/ Vessel is measured as the summation of mass of the vessel and mass of the vessel due to inertial effects.ⓘ Virtual Mass of the Ship [m_v]			+10% -10%
✖Undamped Natural Period of a Vessel refers to the inherent oscillation period of a structure, such as a ship or offshore platform, in response to external forces, without considering damping effects.ⓘ Undamped Natural Period of a Vessel [T_n]			+10% -10%

✖Effective Spring Constant refers to the measure of resistance provided by a structure or system to deformation due to external forces, such as waves, currents, or tides.ⓘ Effective Spring Constant given Undamped Natural Period [k_tot]

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Formula

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Effective Spring Constant given Undamped Natural Period

Formula

`"k"_{"tot"} = ((2*pi)^2*"m"_{"v"})/"T"_{"n"}^2`

Example

`"10.5404N/m"=((2*pi)^2*"100kN")/("0.17h")^2`

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Effective Spring Constant given Undamped Natural Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Spring Constant = ((2*pi)^2*Virtual Mass of the Ship)/Undamped Natural Period of a Vessel^2
k_tot = ((2*pi)^2*m_v)/T_n^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Effective Spring Constant - (Measured in Newton per Meter) - Effective Spring Constant refers to the measure of resistance provided by a structure or system to deformation due to external forces, such as waves, currents, or tides.
Virtual Mass of the Ship - (Measured in Newton) - Virtual Mass of the Ship/ Vessel is measured as the summation of mass of the vessel and mass of the vessel due to inertial effects.
Undamped Natural Period of a Vessel - (Measured in Second) - Undamped Natural Period of a Vessel refers to the inherent oscillation period of a structure, such as a ship or offshore platform, in response to external forces, without considering damping effects.

STEP 1: Convert Input(s) to Base Unit

Virtual Mass of the Ship: 100 Kilonewton --> 100000 Newton (Check conversion here)
Undamped Natural Period of a Vessel: 0.17 Hour --> 612 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_tot = ((2*pi)^2*m_v)/T_n^2 --> ((2*pi)^2*100000)/612^2

Evaluating ... ...

k_tot = 10.540395148329

STEP 3: Convert Result to Output's Unit

10.540395148329 Newton per Meter --> No Conversion Required

FINAL ANSWER

10.540395148329 ≈ 10.5404 Newton per Meter <-- Effective Spring Constant

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Effective Spring Constant given Undamped Natural Period

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< 5 Mooring Calculators

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

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

Effective Spring Constant given Undamped Natural Period Formula

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

What is Mooring in Shipping?

Mooring is a procedure to anchor the ship to a fixed or floating element and keep it connected during loading or unloading operations. Safe mooring must withstand several forces, such as wind, the current, the tide and waves.

How to Calculate Effective Spring Constant given Undamped Natural Period?

Effective Spring Constant given Undamped Natural Period calculator uses Effective Spring Constant = ((2*pi)^2*Virtual Mass of the Ship)/Undamped Natural Period of a Vessel^2 to calculate the Effective Spring Constant, The Effective Spring Constant given Undamped Natural Period formula is defined as the measure of resistance provided by a structure or system to deformation due to external forces, such as waves, currents, or tides. Effective Spring Constant is denoted by k_tot symbol.

How to calculate Effective Spring Constant given Undamped Natural Period using this online calculator? To use this online calculator for Effective Spring Constant given Undamped Natural Period, enter Virtual Mass of the Ship (m_v) & Undamped Natural Period of a Vessel (T_n) and hit the calculate button. Here is how the Effective Spring Constant given Undamped Natural Period calculation can be explained with given input values -> 10.5404 = ((2*pi)^2*100000)/612^2.

FAQ

What is Effective Spring Constant given Undamped Natural Period?

The Effective Spring Constant given Undamped Natural Period formula is defined as the measure of resistance provided by a structure or system to deformation due to external forces, such as waves, currents, or tides and is represented as k_tot = ((2*pi)^2*m_v)/T_n^2 or Effective Spring Constant = ((2*pi)^2*Virtual Mass of the Ship)/Undamped Natural Period of a Vessel^2. Virtual Mass of the Ship/ Vessel is measured as the summation of mass of the vessel and mass of the vessel due to inertial effects & Undamped Natural Period of a Vessel refers to the inherent oscillation period of a structure, such as a ship or offshore platform, in response to external forces, without considering damping effects.

How to calculate Effective Spring Constant given Undamped Natural Period?

The Effective Spring Constant given Undamped Natural Period formula is defined as the measure of resistance provided by a structure or system to deformation due to external forces, such as waves, currents, or tides is calculated using Effective Spring Constant = ((2*pi)^2*Virtual Mass of the Ship)/Undamped Natural Period of a Vessel^2. To calculate Effective Spring Constant given Undamped Natural Period, you need Virtual Mass of the Ship (m_v) & Undamped Natural Period of a Vessel (T_n). With our tool, you need to enter the respective value for Virtual Mass of the Ship & Undamped Natural Period of a Vessel 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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