Tow (or transportation)
This article is an introduction and a brief how-to guide for performing a simple tow (or transportation) analysis.
Table of contents
- Why tow?
- Importance of a tow analysis
- Factors affecting tow
- Barge criteria
- Computer model
- Transportation forces
- Barge motion data
- Load combinations
- Analysis
- Discussion
Why tow?
Due to logistics, quality control and prohibitive costs, offshore structures are typically fabricated onshore, and then towed—on a cargo barge—to their intended service locations, usually offshore. Transportation and arising stresses out of it therefore become important aspects in ensuring pre-service compliance for an offshore structure.
Importance of a tow analysis
- To assess and design the structure for transport stresses.
- To provide additional temporary members (sea-fastenings) for support during transport.
- To strengthen structure to suit transport analysis, orient member spanning to be beneficial and economical during transport.
Factors affecting tow
- Sea-state.
- Barge size (larger barge—more stable, lower stresses; smaller barge—higher stresses).
- Weight of the structure.
- Overall COG (center of gravity) of the structure.
- Overall COR (center of rotation) of the transport barge.
Barge criteria
Based on their size, they can broadly be classified as large barges and small barges. Barges longer than 76m, and wider than 23m are classified as large barges—as a general guideline. Small barges are those that do not exceed 76m in length and 23m in width.
Typical large barges:
| Barge type | Length (m) | Width (m) | Depth (m) |
|---|---|---|---|
| PEGAH | 91.3 | 27.4 | 6.1 |
| SELCO GIANT 2 | 91.3 | 27.4 | 6.1 |
| LB1-SB282 (NPCC) | 130.5 | 30.5 | 8.0 |
Typical small barges:
| Barge type | Length (m) | Width (m) | Depth (m) |
|---|---|---|---|
| CB (MDL 578) | 64 | 22 | 4.0 |
| CB (MDL 750) | 60 | 18 | 4.0 |
Computer model
A four point support Jacket loadout model is used for in a tow analysis.
The computer model used will be similar to a Loadout model, with additional tie-downs, and sea-fasteners as required.

Where:
| F = | Component of gravity plus inertia. |
| G1 = | Center of gravity of jacket. |
| G2 = | Center of gravity of the tow. |
| M = | Meta-center of the tow. |
| A = | Areas of potential impact. |
Transportation forces
Transportation forces consist of the following:
- Self weight of the modeled structure.
- Non-modeled pre-installed item loads.
- Equipment dry loads.
- Inertia loads—due to motions of the transport barge.
Inertia forces are generated when platform components (jacket, deck) are transported offshore on barges or self-floating. They depend upon the weight, geometry and support conditions of the structure (by barge or by buoyancy) and also on the environmental conditions—waves, winds and currents—encountered during transportation. Types of motions a floating structure may experience are shown schematically in the figure below.

Barge motion data
Depending upon barge size, and in the absence of motion data available from a full blown barge motion study along the intended transport route, the following motion data (from Noble Denton criteria) is normally used for calculating inertia loads.
| Large barge | Small barge | ||||
|---|---|---|---|---|---|
| Motion | Amplitude | Period | Amplitude | Period | |
| Roll | 20° | 10s | 25° | 10s | |
| Pitch | 12.5° | 10s | 15° | 10s | |
| Heave | 5m | 10s | 5m | 10s |
Load combinations
| 1. | Simulating Head seas | 100%Pitch + 100%Heave |
| 2. | Simulating Beam seas | 100%Roll + 100%Heave |
| 3. | Simulating Quartering seas | 50%Pitch + 50%Roll + 100%Heave |
In addition, effective horizontal shear force due to barge inclinations, corresponding to the max. pitch/roll angle, may be included in the cases above. Wind load, in general, may not be considered in the above cases.
Analysis
The transportation analysis is a two step process.
- Static analysis: Analyze the structure for it’s static (dead) loads and get a solution—we’ll call it a static solution.
- Tow (dynamic) analysis: Generate inertia loads corresponding to motion characteristics. (Motion characteristics are either actually furnished by a naval architect following barge motion analysis, or in the absence of a barge motion analysis, industry-wide acceptable recommendations by notables such as of Noble Denton may be followed.)
(In tropical seas, it is noted that Noble Denton criteria is slightly conservative and is only used in the event barge motion characteristics data is not available.)
- Ensure that inertia loads thus generated are of proper magnitude as expected and comply with the motion characteristics.
- Get a solution for inertia loads generated using motion characteristics. We’ll call this solution a dynamic solution).
- Post and Postvue: Combine the two solutions: static + dynamic to obtain a combined solution which will be used for performing code–check.
Tow analysis (SACS) input file using motion cards:
* AS PER NOBLE DENTON CRITERIA* PITCH ANGLE = 12.5d; PERIOD = 10s; SURGE = SIN(12.5) = 0.216* ROLL ANGLE = 20d ; PERIOD = 10s; SWAY = SIN(20) = 0.34TOWOPT MNECLD WP -12.389 0.000 -8.500 XYZPOSITION* HEAD SEA CONDITION (100% PITCH AND 100% HEAVE)MOTION 21 +12.5 10. +.216 +0.2MOTION 22 -12.5 10. -.216 +0.2MOTION 23 +12.5 10. +.216 -0.2MOTION 24 -12.5 10. -.216 -0.2* BEAM SEA CONDITION (100% ROLL AND 100% HEAVE)MOTION 25 +20. 10. +0.34 +0.2MOTION 26 -20. 10. -0.34 +0.2MOTION 27 +20. 10. +0.34 -0.2MOTION 28 -20. 10. -0.34 -0.2* SIMULATING QUARTERING SEAS (50% ROLL, 50% PITCH AND* 100% HEAVE)MOTION 29 +10. 10.+6.25 10. +.108+.17 +0.2MOTION 30 -10. 10.+6.25 10. +.108-.17 +0.2MOTION 31 -10. 10.-6.25 10. -.108-.17 +0.2MOTION 32 -10. 10.-6.25 10. -.108-.17 -0.2MOTION 33 -10. 10.+6.25 10. +.108-.17 -0.2MOTION 34 +10. 10.+6.25 10. +.108+.17 -0.2MOTION 35 +10. 10.-6.25 10. -.108+.17 -0.2MOTION 36 +10. 10.-6.25 10. -.108+.17 +0.2END- Download this example: /inputfiles/trans-motion.txt
Tow analysis (SACS) input file using acceleration cards:
* AS PER NOBLE DENTON CRITERIA* PITCH ANGLE = 12.5d; PERIOD = 10s; SURGE = SIN(12.5)= 0.216* ROLL ANGLE = 20d ; PERIOD = 10s; SWAY = SIN(20) = 0.34TOWOPT MN CG -12.389 -8.500 XYZLCFAC 1.10 2ACCL 0.00 0.00 0.00 1.00 0.00 0.00ACCL 0.00 0.00 0.00 0.00 1.00 0.00ACCL 0.00 0.00 0.00 0.00 0.00 1.00ACCL 1.00 0.00 0.00 0.00 0.00 0.00ACCL 0.00 1.00 0.00 0.00 0.00 0.00ACCL 0.00 0.00 1.00 0.00 0.00 0.00END- Download this example: /inputfiles/trans-accl.txt
Appendix: List of barges
Please see a list of barges and launch barges for 40m width and above.
Discussion
This article does not cover many aspects and variables involved in a typical detailed design. However, the author is of the opinion that it provides a general guideline in understanding and performing a tow analysis. Readers are welcome to suggest errors, omissions and obvious inclusions—if any—in this article. You may write to the author here.
Disclaimer: Please be aware that the author bears no responsibility with regards to the content and use of this article.
