VM-AQWA-MECH-001
VM-AQWA-MECH-001
Hydrostatic Evaluation of a Floating Inverted Pyramid
Overview
| Reference: | Floating Structures: a guide for the design and analysis, Ed. N.D.P. Barltrop, Oilfield Publications Ltd., 1998 |
| Analysis Type(s): | Hydrostatic |
Test Case
An inverted pyramid is floating in static equilibrium in a large body of water with a density of 1025 kg/m3. Calculate the hydrostatic properties for this model.
| Material Properties | Geometric Properties | Loading |
|---|---|---|
| Density of water = 1025 kg/m3 | Center of gravity at Z = 0 | Acceleration due to gravity = 9.8 m/s2 |
Results Comparison
| Target | Aqwa | Ratio | ||
|---|---|---|---|---|
| Waterplane area | Aw | 2000 | 2.000 x 103 | 1.0 |
| Displaced volume | ∇ | 13333.337 | 1.33333 x 104 | 1.0 |
| Center of buoyancy | Bx | 25.0 | 25.000 | 1.0 |
| By | 10.0 | 10.000 | 1.0 | |
| Bz | -5.0 | -5.000 | 1.0 | |
| Center of floatation | LCF | 33.333 | 33.333 | 1.0 |
| TCF | 13.333 | 13.333 | 1.0 | |
| Waterplane inertia |
| 1.1613 x 106 | 1.161 x 106 | 1.0 |
| 1.2757 x 105 | 1.276 x 105 | 1.0 | |
| 12.7317 | 12.732 | 1.0 | |
| Metacenters | BMX | 9.5677 | 9.568 | 1.0 |
| BMY | 87.0975 | 87.099 | 1.0 | |
| Metacentric heights | GMX | 4.5677 | 4.568 | 1.0 |
| GMY | 82.0975 | 82.099 | 1.0 | |
| Restoring moment | Roll | 1.0677 x 107 | 1.068 x 107 | 1.0 |
MCT
| 1.9191 x 108 | 1.919 x 108 | 1.0 | |
| Stiffness matrix | K33 | 2.0090 x 107 | 2.009 x 107 | 1.0 |
| K34, K43 | 6.6966 x 107 | 6.697 x 107 | 1.0 | |
| K35, K53 | -1.6742 x 108 | -1.674 x 108 | 1.0 | |
| K44 | 1.3393 x 109 | 1.339 x 109 | 1.0 | |
| K45 | 1.6742 x 109 | 1.674 x 109 | 1.0 | |
| K55 | 1.1887 x 1010 | 1.189 x 1010 | 1.0 | |