Ship Design, Shipbuilding Cost Models, and Trials
1. Cost Models in Ship Design and Shipbuilding
A. Overview of Cost Models
Cost models in shipbuilding are used to estimate, budget, and optimize expenses across the design, construction, and operational phases. These models help shipyards and owners predict costs, allocate resources, and ensure profitability. Common cost models include:
| Cost Model | Description | Application |
|---|---|---|
| Parametric Cost Models | Use historical data and statistical relationships to estimate costs based on ship parameters (e.g., DWT, LOA, speed). | Early-stage conceptual design and feasibility studies. |
| Analogous Cost Models | Estimate costs based on similar past projects (e.g., a new bulk carrier vs. a previously built one). | Preliminary design and budgeting. |
| Bottom-Up Cost Models | Break down the ship into components (hull, machinery, outfitting) and sum their individual costs. | Detailed design and contract bidding. |
| Cost Estimating Relationships (CER) | Mathematical equations linking ship characteristics (e.g., displacement, power) to cost. | Quick cost estimates during feasibility and conceptual design. |
| Activity-Based Costing (ABC) | Allocates costs based on activities (e.g., welding, painting, assembly). | Production planning and process optimization. |
| Learning Curve Models | Account for efficiency gains as production progresses (e.g., reduced labor hours per unit). | Serial production (e.g., building multiple ships of the same design). |
2. Cost Estimating Relationship (CER)
A. Definition
A Cost Estimating Relationship (CER) is a mathematical or statistical model that relates ship characteristics (e.g., displacement, length, power) to cost. CERs are derived from historical data and regression analysis.
B. Types of CERs
| Type | Description | Example |
|---|---|---|
| Simple Linear CER | Cost = a + b × (Ship Parameter). | Cost = 5,000,000 + 20,000 × (DWT) |
| Power Law CER | Cost = a × (Ship Parameter)^b. | Cost = 10,000 × (LOA)^1.7 |
| Multiple Regression CER | Cost = a + b₁X₁ + b₂X₂ + … + bₙXₙ (where X₁, X₂, etc., are ship parameters like DWT, speed, etc.). | Cost = 2,000,000 + 15,000 × (DWT) + 50,000 × (Speed) |
C. Advantages of CERs
- Quick estimates: Useful for early-stage design when detailed data is unavailable.
- Scalability: Can be applied to different ship sizes within a class (e.g., bulk carriers, tankers).
- Data-driven: Based on historical trends, reducing subjective bias.
D. Limitations of CERs
- Accuracy depends on data quality: Poor historical data leads to unreliable estimates.
- Assumes linearity: May not capture non-linear cost drivers (e.g., complex machinery).
- Less accurate for innovative designs: Works best for conventional ships with existing data.
E. Example CER for Shipbuilding
For a bulk carrier, a CER might look like:
Cost (USD) = 12,000,000 + 18,000 × (DWT) + 30,000 × (Engine Power in kW)Where:
- DWT = Deadweight Tonnage
- Engine Power = Main engine power in kW
3. Hull Block Construction Method (HBCM)
A. Definition
The Hull Block Construction Method (HBCM) is a modular shipbuilding approach where the hull is constructed in pre-fabricated blocks (sections) that are later assembled in the dry dock or on the slipway. This method is widely used in modern shipyards (e.g., Hyundai, Samsung Heavy Industries).
B. Cost Savings in HBCM
| Cost-Saving Factor | Explanation |
|---|---|
| Reduced Labor in Dry Dock | Blocks are pre-fabricated in workshops, reducing on-site labor and construction time. |
| Parallel Processing | Different blocks can be built simultaneously, shortening the total build time. |
| Improved Quality Control | Workshop conditions allow for better precision and fewer rework costs. |
| Economies of Scale | Bulk material procurement and standardized processes reduce costs. |
| Reduced Dry Dock Time | Blocks are assembled quickly in the dry dock, minimizing dock rental costs. |
| Lower Skilled Labor Needs | Pre-fabrication reduces the need for highly skilled labor on-site. |
C. HBCM Process
- Block Design: Hull is divided into 3D-modeled blocks (e.g., bow, midship, stern).
- Pre-Fabrication: Blocks are cut, welded, and outfitted in workshops.
- Transport: Blocks are moved to the dry dock using cranes or transporters.
- Assembly: Blocks are welded together to form the hull.
- Outfitting: Piping, electrical, and machinery are installed.
4. Advantages of Pre-Fabrication
A. Cost and Time Savings
| Advantage | Explanation |
|---|---|
| Reduced Construction Time | Parallel processing of blocks shortens the total build schedule. |
| Lower Labor Costs | Workshop-based fabrication reduces on-site labor and overhead costs. |
| Better Working Conditions | Workers operate in controlled environments (e.g., covered workshops), improving productivity and safety. |
| Higher Precision | CNC cutting and automated welding improve dimensional accuracy, reducing rework. |
| Material Efficiency | Optimized nesting (cutting patterns) reduces steel wastage. |
| Easier Quality Control | Inspection and testing are easier in a workshop setting. |
| Reduced Weather Delays | Indoor fabrication minimizes weather-related disruptions. |
B. Examples of Pre-Fabrication
- Hull Blocks: Pre-welded sections of the hull.
- Pipe Spools: Pre-fabricated piping systems.
- Electrical Panels: Pre-assembled and tested electrical distribution boards.
- Accommodation Modules: Pre-built living quarters (e.g., cabins, galleys).
5. Estimating Finished Steel Weight of a Ship
A. Methods for Estimating Steel Weight
| Method | Description | Accuracy | Stage of Design |
|---|---|---|---|
| Parametric Estimation | Uses CERs or statistical formulas based on ship dimensions (e.g., L × B × D). | Low | Conceptual Design |
| Lightweight Analysis | Breaks down the ship into structural components (hull, decks, bulkheads) and sums their weights. | Medium | Preliminary Design |
| 3D CAD Modeling | Uses detailed 3D models (e.g., NAPA, CADMATIC) to calculate exact steel weights. | High | Contract Design |
| Class Society Rules | Uses classification society formulas (e.g., Lloyd’s Register, ABS, DNV) for minimum scantlings. | Medium | All Stages |
B. Parametric Formula for Steel Weight
A simple parametric formula for estimating steel weight (for a bulk carrier):
Steel Weight (tons) = C × (L × B × D)^(2/3)Where:
- L = Length Overall (m)
- B = Breadth (m)
- D = Depth (m)
- C = Constant (varies by ship type, e.g., 0.015–0.025 for bulk carriers)
C. Lightweight Analysis
- Hull Girder Weight:
- Bottom, side, deck plating + longitudinals, transverses, webs, and stiffeners.
- Superstructure Weight:
- Accommodation, bridge, funnel (if applicable).
- Outfitting Weight:
- Piping, electrical systems, machinery supports (if included in steel weight).
6. Basic Ship Design vs. New Ship Design
A. Basic Ship Design (Shipyard’s Standard Design)
- Definition: A proven, standardized design that the shipyard has built before (e.g., a Newcastlemax bulk carrier or a Suezmax tanker).
- Characteristics:
- Pre-existing drawings, calculations, and specifications.
- Optimized for construction efficiency (e.g., pre-fabricated blocks, standardized materials).
- Lower design costs (no R&D required).
- Faster delivery (familiar to the shipyard).
B. New Ship Design (Custom Design)
- Definition: A bespoke design tailored to the owner’s specific requirements (e.g., a specialized LNG carrier or a polar icebreaker).
- Characteristics:
- Unique hull form, machinery, and outfitting.
- Higher design costs (R&D, model testing, class approval).
- Longer delivery time (new tooling, training, and processes).
- Higher risk (unproven performance, potential cost overruns).
C. Narrowing the Differences
To bridge the gap between a basic design and a new design, the following steps are taken:
| Step | Description |
|---|---|
| Feasibility Study | Assess technical and economic viability of the new design. |
| Parametric Comparisons | Compare key dimensions (LOA, DWT, speed) with existing designs. |
| Model Testing | Conduct towing tank tests or CFD analysis to validate performance. |
| Class Society Approval | Obtain preliminary approval from classification societies (e.g., ABS, DNV, LR). |
| Modular Adaptations | Use pre-existing modules (e.g., engine room, accommodation) from basic designs. |
| Cost-Benefit Analysis | Evaluate trade-offs between customization and cost. |
| Iterative Design Refinement | Gradually refine the design through multiple iterations (see Design Spiral below). |
7. Slog-Slog Method
A. Definition
The “Slog-Slog” method (also called the “Log-Log” method) is a graphical cost estimation technique used in shipbuilding to compare costs across different ship sizes or designs. It involves plotting cost vs. ship parameter (e.g., DWT, LOA) on a logarithmic scale for both axes.
B. When is it Used?
- Early-stage cost estimation (when detailed data is unavailable).
- Comparing costs of different ship sizes (e.g., scaling a 50,000 DWT bulk carrier to 80,000 DWT).
- Benchmarking against industry standards.
C. How It Works
- Plot historical data (cost vs. ship parameter) on a log-log graph.
- Draw a best-fit line (represents the cost trend).
- Use the line to estimate costs for new ship sizes.
D. Example
If the cost of a 50,000 DWT bulk carrier is $30M, and the cost of a 100,000 DWT bulk carrier is $50M, the Slog-Slog method can estimate the cost of a 75,000 DWT bulk carrier by interpolating on the log-log plot.
8. Estimating Labour and Material Costs in Shipbuilding
A. Labour Cost Estimation
| Factor | Method |
|---|---|
| Man-Hours per Task | Estimate labor hours for each task (e.g., welding, painting, assembly) based on historical data. |
| Wage Rates | Multiply man-hours by hourly wage rates (varies by country and skill level). |
| Productivity Factors | Adjust for worker efficiency (e.g., learning curve, fatigue, experience). |
| Overhead Costs | Include supervision, training, and administrative costs. |
Formula for Labour Cost
Labour Cost = Σ (Man-Hours × Hourly Rate × Productivity Factor)B. Material Cost Estimation
| Factor | Method |
|---|---|
| Steel Weight | Estimated using CERs or 3D modeling (see Section 5). |
| Unit Cost of Steel | Multiply steel weight by cost per ton (varies by market prices). |
| Other Materials | Include paint, piping, electrical components, machinery, and outfitting. |
| Wastage Factor | Account for cutting and fabrication waste (typically 5–15% of total material). |
Formula for Material Cost
Material Cost = (Steel Weight × Cost per Ton) + (Other Materials Cost) × (1 + Wastage Factor)C. Productivity Factors
Productivity factors adjust labour and material cost estimates to account for real-world conditions. Common factors include:
| Factor | Impact on Cost | Example |
|---|---|---|
| Learning Curve | Reduces labour hours as workers gain experience (e.g., 90% learning curve). | After building 10 ships, labour hours per ship may drop by 10–20%. |
| Work Environment | Harsh conditions (e.g., extreme weather, confined spaces) increase labour time. | Welding in a cold, open dry dock may require 20% more time than in a workshop. |
| Skill Level | Higher-skilled workers are more efficient but cost more per hour. | A certified welder may cost $50/hr vs. $30/hr for an apprentice. |
| Tooling and Equipment | Advanced tools (e.g., automated welding, CNC cutting) reduce labour time. | Robotic welding can reduce labour costs by 30–40%. |
| Fatigue | Long shifts or overtime can reduce productivity by 10–20%. | Workers on 12-hour shifts may be 15% less productive than on 8-hour shifts. |
| Quality Control | Rework due to defects increases labour and material costs. | 10% rework rate can add 5–10% to total costs. |
9. Ship Trials
A. Overview of Ship Trials
Ship trials are conducted to verify the performance, safety, and compliance of a newly built or refitted ship. They are typically divided into:
- Harbour Acceptance Trials (HAT): Basic checks in port (e.g., engine startup, navigation equipment).
- Sea Acceptance Trials (SAT): Performance tests at sea (e.g., speed, maneuvering, fuel consumption).
- Final Acceptance Trials: Comprehensive tests before delivery to the owner.
B. Measured Mile Trial
A. Purpose
- Measure the ship’s speed and power performance under controlled conditions.
- Verify contractual speed and fuel consumption guarantees.
B. Procedure
- Selection of Measured Mile: A calibrated, straight track (typically 1–2 nautical miles long) with known current and tide conditions.
- Test Conditions:
- Calm weather (Beaufort Scale ≤ 3, wave height ≤ 1.25 m).
- Stable loading (ballast or cargo as per contract).
- Engine at MCR (Maximum Continuous Rating) or specified power.
- Measurements:
- Speed over ground (SOG) (using GPS or Doppler log).
- Speed through water (STW) (using a paddle wheel log or electromagnetic log).
- Engine parameters (RPM, fuel consumption, exhaust temperature).
- Propeller shaft power (using a torsion meter).
C. Data Analysis
- Speed-Power Curve: Plots ship speed vs. engine power to verify contractual performance.
- Fuel Consumption Analysis: Compares actual fuel consumption vs. guaranteed values at different speeds.
- Hull Efficiency: Assesses hull cleanliness and fouling impact on performance.
C. Fuel Consumption Trial
A. Inputs to be Measured and Recorded
| Category | Inputs |
|---|---|
| Ship Parameters | Displacement, draft, trim, stability (GM), wind and current conditions. |
| Engine Parameters | Engine RPM, fuel flow rate, fuel density, exhaust gas temperature, turbocharger pressure. |
| Propulsion Parameters | Propeller pitch, shaft RPM, torque, thrust. |
| Environmental Conditions | Air temperature, humidity, sea temperature, wave height, wind speed/direction. |
| Navigation Data | GPS position, speed over ground (SOG), speed through water (STW), course. |
B. Outputs to be Measured and Recorded
| Category | Outputs |
|---|---|
| Performance Metrics | Maximum speed at MCR, fuel consumption at various speeds, specific fuel consumption (SFC). |
| Engine Efficiency | Brake specific fuel consumption (BSFC), thermal efficiency. |
| Propulsion Efficiency | Propulsive efficiency, hull efficiency, wake fraction. |
| Emissions Data | CO₂, NOx, SOx emissions (for compliance with IMO 2020, EEXI, CII). |
| Vibration and Noise | Vibration levels (in engine room, accommodation), noise levels (dB). |
D. Ship Maneuvering Trials
A. Turning Circle Trial
- Purpose: Measure the ship’s turning ability and tactical diameter.
- Procedure:
- Ship approaches the turning point at steady speed (e.g., 80% of service speed).
- Hard starboard/port rudder (typically 35°) is applied.
- Turning circle is recorded using GPS or radar tracking.
- Key Metrics:
- Tactical Diameter: Distance between the initial and final course lines (should be ≤ 5 × LOA for most ships).
- Advance: Distance traveled along the original course before the ship turns 90°.
- Transfer: Distance traveled perpendicular to the original course when the ship turns 90°.
- Time to Turn 90°: Should be ≤ 2–3 minutes for most commercial ships.
B. Crash Stop Trial
- Purpose: Measure the ship’s stopping ability in an emergency.
- Procedure:
- Ship is brought to full ahead speed (e.g., 80–100% MCR).
- Full astern power is applied, and engine is reversed (if applicable).
- Stopping distance and time are recorded.
- Key Metrics:
- Stopping Distance: Distance traveled from full ahead to full stop (should be ≤ 15 × LOA for most ships).
- Stopping Time: Time taken to come to a complete stop (typically 10–20 minutes for large ships).
- Head Reach: Distance traveled ahead of the initial position before stopping.
C. Fuel Consumption at MCR
- Purpose: Verify fuel efficiency at Maximum Continuous Rating (MCR).
- Procedure:
- Ship is brought to MCR power (100% engine load).
- Fuel consumption is measured over a steady-state period (e.g., 1–2 hours).
- Exhaust emissions are analyzed for compliance.
- Key Metrics:
- Specific Fuel Consumption (SFC): kg of fuel per kWh (should match contractual guarantees).
- Brake Specific Fuel Consumption (BSFC): g/kWh (typically 170–210 g/kWh for modern diesel engines).
- Emissions: CO₂, NOx, SOx (must comply with IMO Tier III, EEXI, CII).
10. Short Notes with Diagrams
A. Lines Plan
A. Definition
The Lines Plan is a 2D representation of a ship’s hull form, showing the shape and dimensions of the hull in three views:
- Body Plan (Cross-sectional views).
- Sheer Plan (Side view).
- Half-Breadth Plan (Top view).
B. Components of a Lines Plan
+-------------------+-------------------+-------------------+
| Body Plan | Sheer Plan | Half-Breadth Plan |
+-------------------+-------------------+-------------------+
| - Forward (FP) | - Deck lines | - Waterlines |
| - Midship (MS) | - Sheer lines | - Buttock lines |
| - Aft (AP) | - Keel line | - Diagonal lines |
| - Vertical sections | - Stem profile | - Station lines |
+-------------------+-------------------+-------------------+C. Diagram (Text Representation)
Sheer Plan (Side View):
___________ Deck Line
/ \
| | Sheer Line
|_____________| Keel Line
Body Plan (Cross-Section):
_______
/ \
/ \
| | Midship Section
\ /
\_______/
Half-Breadth Plan (Top View):
___________
/ \
/ \
| |
\ /
\___________/D. Significance
- Hull Fairing: Ensures smooth curves for hydrodynamic efficiency.
- Structural Design: Basis for scantling calculations and strength analysis.
- Regulatory Compliance: Used for stability calculations (e.g., GZ curve, intact/damage stability).
- Construction Reference: Guides hull fabrication and block assembly.
B. Design Spiral
A. Definition
The Design Spiral is an iterative process used in ship design to refine and optimize the ship’s characteristics. It involves multiple cycles of analysis, evaluation, and modification.
B. Stages of the Design Spiral
1. Initial Design → 2. Weight Estimate → 3. Stability Check → 4. Powering Estimate →
5. Resistance Calculation → 6. Propulsion Selection → 7. Cost Estimate →
8. Feasibility Review → [If not satisfactory, return to Step 1]C. Diagram (Text Representation)
+------------------+
| Initial Design |
+--------+---------+
|
v
+--------+---------+
| Weight Estimate |
+--------+---------+
|
v
+--------+---------+
| Stability Check |
+--------+---------+
|
v
+--------+---------+
| Powering Estimate|
+--------+---------+
|
v
+--------+---------+
|Resistance Calc. |
+--------+---------+
|
v
+--------+---------+
|Propulsion Select.|
+--------+---------+
|
v
+--------+---------+
| Cost Estimate |
+--------+---------+
|
v
+--------+---------+
|Feasibility Review|
+------------------+
|
+---> [If OK: Final Design]
|
+---> [If Not OK: Revise Initial Design]D. Significance
- Iterative Refinement: Allows designers to adjust parameters (e.g., dimensions, power) based on performance feedback.
- Balancing Trade-Offs: Optimizes speed, fuel efficiency, cargo capacity, and cost.
- Feasibility Assurance: Ensures the design meets technical, regulatory, and economic requirements.
C. Iterations in Ship Design
A. Definition
Iterations are repetitive cycles of design refinement, where each cycle improves the ship’s performance, cost, or compliance with requirements.
B. Types of Iterations
| Iteration Type | Purpose | Example |
|---|---|---|
| Parametric Iterations | Adjust key parameters (e.g., L, B, D, speed) to meet performance targets. | Increasing LOA to improve cargo capacity but checking impact on resistance. |
| Structural Iterations | Optimize scantlings (thickness of plates, stiffeners) for strength and weight. | Reducing plate thickness to save weight but ensuring buckling strength is maintained. |
| Hydrodynamic Iterations | Refine hull form for better resistance, seakeeping, or maneuverability. | Adjusting bow shape to reduce wave-making resistance. |
| Economic Iterations | Balance capital cost (CAPEX) and operating cost (OPEX). | Choosing between a higher-speed design (more fuel cost) and a slower-speed design (lower fuel cost but longer voyage time). |
C. Diagram (Text Representation)
Initial Design → [Iteration 1: Adjust L, B, D] → Check Performance →
[Iteration 2: Optimize Scantlings] → Check Strength →
[Iteration 3: Refine Hull Form] → Check Resistance →
[Iteration 4: Balance CAPEX/OPEX] → Final DesignD. Significance
- Convergence to Optimal Design: Each iteration narrows down the best possible design.
- Risk Mitigation: Identifies and resolves issues early (e.g., stability, strength).
- Cost Optimization: Ensures the design is economically viable.
D. Contract Design
A. Definition
The Contract Design is the finalized ship design agreed upon between the shipyard and the owner, forming the basis of the construction contract. It includes:
- General Arrangement Plan (GA).
- Lines Plan.
- Structural Drawings.
- Machinery and Outfitting Specifications.
- Performance Guarantees (e.g., speed, fuel consumption, cargo capacity).
B. Key Features
- Technical Specifications: Detailed dimensions, materials, and systems.
- Regulatory Compliance: Meets SOLAS, MARPOL, class society rules (e.g., ABS, DNV, LR).
- Commercial Terms: Price, delivery schedule, payment milestones.
- Performance Clauses: Speed, fuel efficiency, maneuvering guarantees.
C. Diagram (Text Representation)
Contract Design Components:
+-------------------------------------+
| 1. General Arrangement Plan (GA) |
| 2. Lines Plan |
| 3. Structural Drawings |
| 4. Machinery Specifications |
| 5. Outfitting Specifications |
| 6. Performance Guarantees |
| 7. Regulatory Certificates |
+-------------------------------------+D. Significance
- Legal Binding: Forms the basis of the construction contract.
- Construction Reference: Guides shipyard production and quality control.
- Owner’s Requirements: Ensures the ship meets the owner’s operational needs.
E. Preliminary Design
A. Definition
The Preliminary Design is an intermediate stage between conceptual design and contract design. It refines the basic ship characteristics and provides a detailed feasibility assessment.
B. Key Activities
- Hull Form Optimization: Refine lines plan for hydrodynamic efficiency.
- Weight and Stability Analysis: Estimate lightweight, deadweight, and stability (GZ curve).
- Powering and Propulsion: Select engine type, power, and propeller design.
- Structural Design: Define scantlings, materials, and construction methods.
- Cost Estimation: Develop a detailed cost breakdown (materials, labor, overheads).
- Regulatory Compliance Check: Ensure design meets SOLAS, MARPOL, class rules.
C. Diagram (Text Representation)
Preliminary Design Process:
+-------------------+ +---------------------+ +-------------------+
| Conceptual |---->| Preliminary Design |---->| Contract Design |
| Design | | | | |
+-------------------+ +---------------------+ +-------------------+
|
v
+-------------------+
| - Hull Form |
| - Weight Estimate |
| - Stability Check |
| - Powering |
| - Structural |
| - Cost Estimate |
+-------------------+D. Significance
- Feasibility Confirmation: Validates technical and economic viability.
- Owner Feedback: Allows the owner to review and modify the design before finalizing the contract.
- Shipyard Planning: Helps the shipyard prepare for construction (e.g., material procurement, block planning).
11. Discussion Questions
- How does the Hull Block Construction Method (HBCM) compare to traditional shipbuilding in terms of cost and time savings?
- What are the key challenges in estimating labour costs for a new ship design with unfamiliar features?
- How can productivity factors (e.g., learning curve, tooling) be quantified and incorporated into cost estimates?
- What lessons from the Emma Maersk fire can be applied to improve fire safety in modern ship designs?
- How does the Slog-Slog method help in scaling costs for ships of different sizes?
- What are the critical differences between a preliminary design and a contract design?
- How do ship trials ensure that a vessel meets its contractual performance guarantees?
- What innovations in shipbuilding (e.g., automation, AI) are likely to reduce costs in the future?