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Free Surface Effect Metacentric Height Reduction Calculator

Easily calculate and compute free surface effect metacentric height reduction calculator with accurate equations, live formulas, and expert guidance.

Length of slack liquid compartment along ship axis.

Transverse width of slack tank.

Density of liquid in tank (water = 1000 kg/m³, fuel oil = 920 kg/m³).

Total displacement mass of vessel.

Calculated Result
0.17 m

GM Loss (GG')

GM Loss (GG')

0.17 m

Free Surface Gm Correction M

0.173

Second Moment Of Area M4

2592

Loss With Longitudinal Bulkhead M

0.043

0.17 — m

Calculation Breakdown

  1. Applied FormulaCalculates the virtual rise of center of gravity (GG') and loss of metacentric height caused by the shifting sloshing fluid mass in partially filled (slack) liquid tanks.\Delta GM_{FSE} = \frac{\rho_{tank} i_T}{\rho_{sea} \nabla} = \frac{\rho_{tank} l b^3}{12 \Delta}

Free Surface Effect GM Loss Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0GM Loss (GG')

What Is the Free Surface Effect Metacentric Height Reduction Calculator?

This tool computes free surface effect metacentric height reduction calculator with high precision arithmetic.

How Does the Free Surface Effect Metacentric Height Reduction Calculator Work?

Calculates the virtual rise of center of gravity (GG') and loss of metacentric height caused by the shifting sloshing fluid mass in partially filled (slack) liquid tanks.

Free Surface Effect Metacentric Height Reduction Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ΔGMFSE=ρtankiTρsea∇=ρtanklb312Δ\Delta GM_{FSE} = \frac{\rho_{tank} i_T}{\rho_{sea} \nabla} = \frac{\rho_{tank} l b^3}{12 \Delta}

Calculates the virtual rise of center of gravity (GG') and loss of metacentric height caused by the shifting sloshing fluid mass in partially filled (slack) liquid tanks.

How to Use the Free Surface Effect Metacentric Height Reduction Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Free Surface Effect Metacentric Height Reduction Calculator Example

Input Values:

tankLengthMeters:18.0
tankBreadthMeters:12.0
tankLiquidDensityKgM3:1000.0
shipDisplacementTonnes:15000.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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