Transverse Metacentric Height (GM)

Compute GM from (A) direct hydrostatics (KM & KG) or (B) waterplane inertia & displacement (BM = I_T/∇). Optional free-surface correction (FSC) included.

Method

Pick based on data you have.

FSC (m)

Free-surface correction (direct entry).

Σ FSM (t·m)

If FSC blank → FSC = ΣFSM / Δ.

Δ (t)

ρ (t/m³)

For ∇ helpers (sea ≈ 1.025 t/m³).

A) Direct Hydrostatics

KM (m)

KG (m)

GM = KM − KG; GM_corr = GM − FSC.

Result

KB: — m

BM: — m

KM: — m

KG: — m

GM: — m

FSC: — m

GM_corrected: — m

GM = KM − KG; KM = KB + BM; BM = I_T/∇. FSC from entry or ΣFSM/Δ. Values are for initial (small-angle) stability.

Report: GM (Transverse Metacentric Height)

—

Notes

Direct: GM = KM − KG.

Inertia route: BM = I_T/∇; KM = KB + BM; GM = KM − KG.

Free-surface: FSC = ΣFSM/Δ (if FSC not given). GM_corr = GM − FSC.

Quick feel: GM_corr < 0 → unstable; 0–0.15 m tender; 0.15–0.5 m typical; >0.5 m stiff.

Transverse Metacentric Height (GM)

A) Direct Hydrostatics

B) Inertia & Displacement Route

Result