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newSchoolWorks.com › VoTechWorks › Manufacturing & Marine › Drafting / CAD / BIM › Architectural, Mechanical, and Marine Drafting › Lesson 8
MFG-DRAF17-05 · Lesson 8 · 14 clock hours · theory

Introduction to Marine Drafting—Hull Geometry and Lines Drawing

Objective. Students identify the principal views of a vessel lines drawing—body plan, sheer plan, and half-breadth plan—and correctly label hull design terminology including stations, waterlines, buttocks, and diagonals.

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This lesson, its worked examples and its practice questions has not yet been verified by a licensed engineer or certified journey-level tradesperson or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Introduction to Marine Drafting—Hull Geometry and Lines Drawing

Marine drafting applies the principles of engineering drawing to vessels—workboats, tugboats, barges, and recreational craft. Before any structural or systems drawing can begin, the designer must define the exact three-dimensional shape of the hull. That shape is communicated through a lines drawing, also called a lines plan. Understanding the lines drawing is the foundation of all marine drafting work.

Why the Lines Drawing Matters

A hull is a complex curved surface. No single flat view can show its shape completely. The lines drawing solves this by presenting three mutually perpendicular views simultaneously, much like a multiview orthographic drawing in mechanical drafting—but every line in each view is a true curve on the hull surface. Shipbuilders, naval architects, loftsmen, and CAD drafters all read from the same lines drawing, so accuracy in labeling and plotting is critical to safe vessel construction.

The Three Principal Views

Body Plan — The body plan looks directly at the bow or stern of the vessel (a front or rear elevation). It shows the cross-sectional shape of the hull at each station. By convention, the forward stations (bow half) are drawn on the right side of the centerline and the aft stations (stern half) are drawn on the left side. This allows all station shapes to appear in one compact view without overlap.

Sheer Plan (Profile View) — The sheer plan is a side elevation of the vessel. It shows the vessel's length and height, the curvature of the deck edge (the sheer line), and the shape of the keel. Horizontal cutting planes appear as straight horizontal lines here; vertical fore-and-aft cutting planes (buttocks) appear as curves.

Half-Breadth Plan (Waterline Plan) — The half-breadth plan looks straight down at the vessel from above. Because the hull is symmetric port-to-starboard, only one side (half the breadth) needs to be drawn. Horizontal cutting planes appear as curved lines here called waterlines.

The Four Curve Families

Stations — Vertical planes sliced perpendicular to the vessel's centerline, equally spaced along the length. Station 0 is typically at the aft perpendicular (stern), and the forward perpendicular (bow) is the highest station number. Each station appears as a vertical line in the sheer plan and half-breadth plan, and as a curve in the body plan.

Waterlines (WL) — Horizontal planes sliced parallel to the baseline (the design waterline is the most important). They appear as curves in the half-breadth plan, as straight horizontal lines in the body plan and sheer plan. Waterlines are numbered upward from the baseline.

Buttocks (Buttock Lines) — Vertical planes sliced parallel to the vessel's centerline (the fore-and-aft centerline plane). They appear as curves in the sheer plan, as straight vertical lines in the half-breadth plan, and as points (or short vertical marks) in the body plan.

Diagonals — Planes that cut the hull at an angle between horizontal and the hull surface, typically used to check fairness of the hull in the area of the bilge. Diagonals appear as curves in the body plan, and when unfolded (developed) appear as curves in the half-breadth plan area or a separate diagram. They are especially useful for fair hull fairing checks.

Fairness—The Central Quality Standard

A fair hull is one whose surface curves smoothly without bumps, hollows, or sudden changes in curvature. All three views of the lines drawing must agree: a point on the hull defined by a station and a waterline must appear at the same height in the sheer plan and body plan, and at the same half-breadth in the half-breadth plan and body plan. If the views do not agree, the hull is said to be unfair and must be corrected before construction begins. In CAD drafting, spline tools help achieve fairness; in hand drafting, a flexible batten (a thin strip of wood or plastic) was bent through plotted points.

The Table of Offsets

The table of offsets is a numerical table that lists the half-breadth (horizontal distance from the centerline) and height (vertical distance from the baseline) of every intersection of stations, waterlines, buttocks, and diagonals across the hull. Offsets are the raw data from which the lines drawing is plotted—either by hand on graph paper or by entering coordinates in CAD. Dimensions in a table of offsets are traditionally given in feet-inches-eighths of an inch (e.g., 2-3-4 means 2 feet, 3 inches, 4 eighths = 2 ft 3.5 in).

CAD Layer Discipline

When tracing or constructing a lines drawing in AutoCAD, correct layer naming is essential for file management and collaboration. Use:

Keep each curve family on its own layer so that linetype, color, and visibility can be controlled independently. Closed splines should be used for station curves in the body plan; open splines for waterlines and buttocks.

Workplace Safety Notes

The CAD lab environment requires standard precautions: keep workstation areas clear of tripping hazards (power and USB cables secured), adjust monitor height and chair to reduce ergonomic strain during extended drafting sessions, and follow your school's policies for large-format printer operation (pinch-point hazard at the feed rollers—keep hands clear when the plotter is running). When working in a real marine drafting office or shipyard loft floor, always wear appropriate PPE as directed by the site safety plan—closed-toe shoes at minimum, and high-visibility vests if the loft is adjacent to any active fabrication area.

Key terms10

Lines Drawing (Lines Plan)A set of three orthographic views—body plan, sheer plan, and half-breadth plan—that together define the complete three-dimensional shape of a vessel's hull through families of intersecting curves.
StationA vertical plane cut perpendicular to the vessel's centerline at regular intervals along the hull's length; stations appear as cross-sectional curves in the body plan.
Waterline (WL)A horizontal plane cut parallel to the design waterline (baseline); waterlines appear as fore-and-aft curves in the half-breadth plan and as straight horizontal lines in the body plan and sheer plan.
Buttock LineA vertical plane cut parallel to the vessel's fore-and-aft centerline plane; buttocks appear as longitudinal curves in the sheer plan (profile view).
DiagonalA plane angled between horizontal and vertical that cuts the hull to check fairness in the bilge area; diagonals appear as curves in the body plan and, when developed, in the half-breadth area.
Body PlanThe view in the lines drawing that shows hull cross-sections (stations) looking forward or aft; forward stations are on the right side of centerline and aft stations on the left by convention.
Table of OffsetsA numerical table listing the half-breadth and height of each intersection of stations, waterlines, buttocks, and diagonals on the hull, traditionally in feet-inches-eighths notation.
Fair (Fairness)A hull surface that is smooth and free of bumps or sudden curvature changes; all three views of the lines drawing must be geometrically consistent for the hull to be considered fair.
Half-Breadth PlanThe top-down orthographic view of the vessel showing only one half of the symmetric hull; waterlines appear as curves in this view.
Sheer PlanThe side-elevation (profile) view of the vessel in the lines drawing; it shows the sheer line, keel profile, and buttock curves.

Worked examples4

1. A table of offsets lists the half-breadth at Station 3, Waterline 2 as 1-7-4 (feet-inches-eighths). Convert this offset to decimal feet for CAD entry.
  1. Identify the three components: 1 foot, 7 inches, 4 eighths of an inch.
  2. Convert the eighths to inches: 4 ÷ 8 = 0.5 inch.
  3. Add the inch components: 7 inches + 0.5 inch = 7.5 inches.
  4. Convert total inches to feet: 7.5 ÷ 12 = 0.625 feet.
  5. Add to the whole feet: 1 + 0.625 = 1.625 feet.
Answer: The half-breadth at Station 3, WL 2 is 1.625 feet (1 ft 7.5 in) from the centerline.
2. A lines drawing is plotted at a scale of 1:24 (1/2" = 1'-0"). A station curve in the body plan measures 3.25 inches on paper. What is the actual half-breadth of the hull at that point?
  1. Identify the scale: 1 inch on paper = 24 inches (2 feet) full size.
  2. Multiply the measured paper dimension by the scale factor: 3.25 in × 24 = 78 inches.
  3. Convert to feet: 78 ÷ 12 = 6.5 feet.
Answer: The actual half-breadth is 6.5 feet (6 ft 6 in) from the vessel centerline.
3. You are plotting offsets on graph paper at a scale of 1 inch = 2 feet. The table of offsets gives a height of 2-4-0 (feet-inches-eighths) at a given station and waterline. How many inches should you mark above the baseline on your graph paper?
  1. Convert the offset to decimal feet: 2 feet, 4 inches, 0 eighths. 4 inches = 4/12 = 0.333 feet. Total = 2.333 feet.
  2. Apply the plotting scale (1 inch on paper = 2 feet full size): 2.333 ÷ 2 = 1.167 inches.
  3. Round to the nearest 1/16 inch for practical plotting: 1.167 in ≈ 1 and 3/16 inches (1.1875 in is the nearest 1/16; 1.167 in rounds to approximately 1 3/16 in on graph paper).
Answer: Mark approximately 1 3/16 inches (1.167 in) above the baseline on graph paper.
4. A workboat has 11 equally spaced stations over a waterline length of 30 feet (Station 0 at the aft perpendicular, Station 10 at the forward perpendicular). What is the station spacing?
  1. Count the number of spaces between stations: 11 stations create 10 spaces.
  2. Divide the total waterline length by the number of spaces: 30 feet ÷ 10 = 3 feet per station.
Answer: Station spacing is 3 feet (3'-0") between each adjacent station.

The math in this lesson2

Learners apply 1:24 and 1 inch = 2 feet scales to convert between paper and full-size offsets.
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Brush up in the math halls at newSchoolWorks.com:
In class: Instructor lecture using a full-size printed lines drawing of a 30-foot utility workboat: students call out and label each view, curve family, and reference plane on their own printed copy. · Students use AutoCAD spline tools to trace the station curves of the body plan from a scanned lines drawing, maintaining correct layer naming (HULL-STATIONS, HULL-WL, HULL-BUTTOCK) and plotting to a given scale. · Group exercise: students measure offsets from a table of offsets worksheet and plot three stations by hand on graph paper, then compare their plotted shapes to the instructor's correct overlay.
Materials: AutoCAD; printed lines drawing of a small workboat (public-domain or school-licensed); table of offsets worksheet; large-format graph paper; naval architecture terminology reference (Gillmer & Johnson 'Introduction to Naval Architecture' or equivalent); engineering scale
Check: Students correctly label all six required elements on a lines drawing (body plan, sheer plan, half-breadth, stations, waterlines, buttocks) and trace at least five station curves with closed splines on correct layers; pass mark 80% of labeled elements correct.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Drafting fundamentals / multiview drawing
1. In a lines drawing, which view shows the cross-sectional shape of the hull at each station?
Marine drafting conventions
2. In the body plan, where are the forward (bow) station curves drawn by convention?
Marine drafting conventions
3. Buttock lines appear as curves in which view of the lines drawing?
Technical mathematics / measurement
4. A table of offsets lists a half-breadth as 0-9-4. What is this dimension in decimal feet?
CAD file management / AutoCAD
5. When tracing station curves in AutoCAD from a scanned lines drawing, which layer name correctly follows the naming convention used in this lesson?
Marine drafting / hull geometry
6. What is the primary purpose of diagonals in a lines drawing?
Technical mathematics / scale drawing
7. A lines drawing at 1:48 scale shows a waterline curve with a maximum half-breadth of 2.0 inches on paper. What is the actual maximum half-breadth of the vessel?
Marine drafting / hull geometry
8. Which statement best describes a 'fair' hull in marine drafting?
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