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
ktot = ((2*pi)^2*mv)/Tn^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 [force/length] A mooring system is composed of many lines, but only those in tension contribute to the stiffness or effective spring constant.
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 [time] depends on the virtual mass of the ship.
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
ktot = ((2*pi)^2*mv)/Tn^2 --> ((2*pi)^2*100000)/612^2
Evaluating ... ...
ktot = 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)

Credits

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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

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
ktot = ((2*pi)^2*mv)/Tn^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, Effective Spring Constant given Undamped Natural Period is defined as effective spring constant when two individual springs are acting together in given assembly. Effective Spring Constant is denoted by ktot 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 (mv) & Undamped Natural Period of a Vessel (Tn) 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?
Effective Spring Constant given Undamped Natural Period is defined as effective spring constant when two individual springs are acting together in given assembly and is represented as ktot = ((2*pi)^2*mv)/Tn^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 [time] depends on the virtual mass of the ship.
How to calculate Effective Spring Constant given Undamped Natural Period?
Effective Spring Constant given Undamped Natural Period is defined as effective spring constant when two individual springs are acting together in given assembly 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 (mv) & Undamped Natural Period of a Vessel (Tn). 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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