MFG-SHIP13-04 · Lesson 7 · 16.5 clock hours · lab
Frame Layout — Straight and Cambered
Objective. Students will lay out a transverse flat-bar frame and a deck beam with the correct camber from a given deck-camber table, tack the assembly to the layout marks, and verify plumb and camber within the tolerances specified in the assignment.
⚠ Pending professional review
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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Frame Layout — Straight and Cambered
Shipfitters spend a large portion of their time on the layout floor, transferring lines from drawings to steel before a single piece is cut or welded. Two of the most common layout tasks are setting a transverse flat-bar frame (which is essentially straight) and a deck beam (which must follow a gentle upward curve called camber). Both tasks demand care, because errors made at layout are locked into the hull structure.
Why Frames and Deck Beams Are Different
A transverse frame runs athwartship (side to side) and supports the shell plating against hydrostatic pressure. It is typically straight from keel to turn-of-bilge. A deck beam also runs athwartship, but it must arch slightly upward at the centerline. That arch — camber — sheds rainwater and spray to the scuppers, adds stiffness to the deck panel, and improves strength under distributed loads. Camber is specified on the design drawing as a camber value (the rise at the centerline above the ends) and a beam span (the full width, called B).
The Parabolic Camber Formula
Most ship designers specify camber using the parabolic curve because it is easy to calculate and to lay out with a batten. The ordinate (height above the chord line) at any point along the beam is given by:
rise = C × (1 − (2x / B)²)
Where:
- C = camber value (maximum rise at center, in inches)
- B = beam span (full width, in inches)
- x = distance from the centerline to the station being calculated (positive toward either end, in inches)
- rise = height of the curve above the chord at that station (in inches)
At the centerline, x = 0, so rise = C (maximum). At each end, x = B/2, so rise = 0. At quarter-span, x = B/4, so rise = C × (1 − (2 × B/4 / B)²) = C × 0.75.
You will calculate ordinates at five evenly spaced stations: centerline, quarter-span (each side), and the two ends. These five points are enough to bend a batten into a fair curve.
Laying Out on the Plate Table or Steel Floor
1. Strike the baseline. Snap a chalk line across the plate table representing the chord (straight line connecting both ends of the beam). Mark both end points and the centerline.
2. Mark the five stations. Measure and mark quarter-span and center along the baseline.
3. Plot the ordinates. At each station, measure the calculated rise perpendicular to the baseline and mark it with soapstone or chalk.
4. Set the batten. A flexible wooden or plastic batten is sprung through all five points and clamped or pinned. Check that the curve is smooth and fair — no flat spots or kinks.
5. Scribe the line. Run a scriber or soapstone along the batten to transfer the camber curve to the floor or table.
6. Set the deck beam to the line. Position the flat-bar or T-bar stock so its top edge follows the scribed camber line. Clamp it in place.
7. Tack weld. Using the MIG welder, place tack welds at intervals to hold the beam to the layout assembly without pulling it out of position. Keep tacks small — their purpose is location, not full fusion.
Straight Frame Layout
For a flat-bar transverse frame with no camber, strike two chalk lines: one for the face of the frame and one for its depth. Check that the lines are square to the reference baseline using a 3-4-5 triangle or a large framing square. Clamp the flat-bar to the marks, verify it is plumb with the digital level, and tack weld.
Checking Your Work
After tacking, you must verify both camber and plumb before the inspection form is signed.
- Camber check: Lay a straight edge across the beam at each of the five stations. Measure the gap between the straight edge and the beam top with a taper gauge. This gap equals the camber rise at that station. Compare with your calculated ordinate. Tolerance: ±1/8 inch at each station.
- Plumb check: Place the digital level against the web of the frame or end stiffener. The assembly must be plumb within 1/8 inch per 10-foot height. If it is out of plumb, loosen clamps, correct, and re-tack.
Record every measurement on the layout inspection form. Do not skip stations or estimate — the form is a quality record.
Safety on the Layout Floor
- PPE: Safety glasses and steel-toed boots are required on the steel floor at all times. Add a welding helmet, leather gloves, and flame-resistant clothing before any tack welding.
- Housekeeping: Chalk lines, battens, and clamps left on the floor are trip hazards. Store tools to the side of your work area.
- Hot metal: Tack welds remain hot enough to burn for several minutes. Use a soapstone or marker — never your bare hand — to locate a fresh tack.
- Clamp security: Always verify that clamps are fully tightened before releasing a piece of stock. Flat bar springing free from a clamp can cause serious injury.
- MIG welder: Inspect the gun, lead, and ground clamp before use. Position the ground clamp close to the weld location to avoid stray arc paths through the plate table.
Key terms9
CamberThe intentional upward arch built into a deck beam, measured as the rise of the centerline above the chord line connecting the two beam ends.
OrdinateThe perpendicular height from the chord line to the camber curve at a specific station along the beam span; calculated from the camber formula and used to plot the curve on the layout floor.
Chord lineThe straight baseline connecting the two end points of a cambered beam, from which ordinate heights are measured upward.
BattenA flexible strip of wood or plastic that is bent and pinned through a series of plotted points to define a smooth, fair curve on the layout surface.
Beam span (B)The full athwartship width of a deck beam from end to end, used as the denominator in the parabolic camber formula.
Tack weldA small, temporary weld used to hold components in their laid-out position before final welding; must be small enough not to distort the assembly.
Taper gaugeA tapered flat tool inserted into a gap to measure its width; used in camber checking to measure the distance between a straight edge and the beam surface at each station.
Transverse frameA structural member running athwartship (side to side) that supports the shell plating and transfers loads to the ship's longitudinal structure.
PlumbExactly vertical; in frame layout, a frame web must be plumb within the specified tolerance to ensure correct geometry in the assembled hull.
Worked examples4
1. A deck beam has a span B = 240 inches and a camber C = 3 inches. Calculate the camber ordinate at the centerline (x = 0).
- Write the formula: rise = C × (1 − (2x / B)²)
- Substitute values: rise = 3 × (1 − (2 × 0 / 240)²)
- Simplify the fraction: 2 × 0 / 240 = 0, so (0)² = 0
- rise = 3 × (1 − 0) = 3 × 1 = 3 inches
Answer: The ordinate at the centerline is 3 inches — equal to the full camber value, as expected.
2. Using the same beam (B = 240 in, C = 3 in), calculate the camber ordinate at the quarter-span station, where x = B/4 = 60 inches.
- Write the formula: rise = C × (1 − (2x / B)²)
- Substitute: rise = 3 × (1 − (2 × 60 / 240)²)
- Compute the inner fraction: (2 × 60) / 240 = 120 / 240 = 0.5
- Square it: 0.5² = 0.25
- Subtract from 1: 1 − 0.25 = 0.75
- Multiply by C: rise = 3 × 0.75 = 2.25 inches
Answer: The ordinate at the quarter-span station is 2.25 inches (2-1/4 inches).
3. Using the same beam (B = 240 in, C = 3 in), calculate the ordinate at a point x = 90 inches from centerline (three-eighths of the span from center).
- Write the formula: rise = C × (1 − (2x / B)²)
- Substitute: rise = 3 × (1 − (2 × 90 / 240)²)
- Compute the inner fraction: (2 × 90) / 240 = 180 / 240 = 0.75
- Square it: 0.75² = 0.5625
- Subtract from 1: 1 − 0.5625 = 0.4375
- Multiply by C: rise = 3 × 0.4375 = 1.3125 inches
Answer: The ordinate at x = 90 inches is 1.3125 inches (approximately 1-5/16 inches).
4. After tacking a cambered deck beam, a student places a straight edge at the quarter-span station and measures a gap of 2.0 inches with the taper gauge. The calculated ordinate at that station is 2.25 inches. Does the assembly pass the camber tolerance of ±1/8 inch?
- Find the difference: |2.25 − 2.0| = 0.25 inches
- Compare to tolerance: the allowable tolerance is ±1/8 inch = ±0.125 inches
- 0.25 inches > 0.125 inches, so the measurement is outside tolerance
Answer: The assembly fails the camber check at this station. The beam must be adjusted — loosen the clamps, add more camber, re-tack, and re-measure before signing the inspection form.
The math in this lesson2
Learners interpret the camber formula y = C(1 − (2x/B)²) for a 240-inch beam.
A-SSE.1F-IF.2
In class: Instructor demonstrates calculating camber ordinates from a parabolic camber formula (rise = camber × (1 − (2x/B)²)) and laying out the camber curve on a plate table using a batten. · Students calculate ordinates for their assigned beam span and camber, lay out the curve on a marked plate table or steel layout floor, and set the deck beam to the line. · Students check camber with a straight edge and taper gauge at five stations along the beam, and check plumb with a digital level; results are recorded on a layout inspection form.
Materials: Steel layout floor or plate table, flat-bar and angle stock for frame mockup, chalk lines, flexible batten, straight edge, taper gauge, digital level, clamps, MIG welder for tacking, layout inspection form, calculator
Check: Layout inspection form reviewed: camber must be within ±1/8 inch at all five stations and assembly must be plumb within 1/8 inch per 10-foot height to pass.
Practice check8
Answer each question, then check it. Nothing is recorded; this is your own practice.
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