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newSchoolWorks.com › VoTechWorks › Building & Construction › Masonry › Arches: Layout, Construction, and Structural Principles › Lesson 3
BLD-MASO04-08 · Lesson 3 · 12 clock hours · demo

Centering: Design, Construction, and Installation

Objective. Students will build a reusable wooden centering form for an assigned arch span and rise, accurate to within 1/8 inch of the computed radius at all measured points

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a licensed professional engineer or master 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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What Is Centering and Why It Matters

An arch cannot support itself while its mortar is wet. During construction, every voussoir (wedge-shaped unit) must be held at the correct angle and height until the keystone is set and the mortar reaches adequate strength. The temporary wooden framework that performs this job is called centering (sometimes spelled centring). Without an accurate centering form, the arch profile will deviate from the intended geometry, joints will be uneven, and the completed arch may carry loads unevenly or fail.

Because centering is removed and reused, building it precisely is an investment. A form that is accurate to within 1/8 inch at every point of the curve will produce consistent, professional results across multiple arch openings.

Anatomy of a Centering Form

A basic centering form has three parts:

Laying Out the Curve

The arch radius you calculated in the previous lesson determines the rib shape. Use a trammel bar (a long straightedge with an adjustable pin at one end and a pencil at the other) or a beam compass to scribe the arc directly onto 3/4-inch plywood.

Steps for layout:

1. Draw a horizontal baseline across the plywood equal to the clear span of the arch.

2. Mark the midpoint of the baseline. Measure down from the midpoint a distance equal to the radius to find the center point of the circle that generates the arc.

3. Set the trammel bar to the computed radius. Anchor the pin at the center point and swing the pencil through the arc from one springing point to the other.

4. Mark the spring line (the horizontal line at the base of the curve) clearly. The rib will be cut between the baseline and the curved top edge.

Double-check by measuring from the center point to five evenly spaced points on the scribed arc with a flexible steel tape. All five measurements must equal the specified radius within 1/8 inch before you cut.

Cutting and Assembling the Form

Cutting: Use a jigsaw to cut along the scribed arc. Work slowly and keep the blade perpendicular to the plywood face. A jigsaw can follow a tight curve; a circular saw cannot and must not be used on the curved cut. The circular saw is appropriate only for straight crosscuts on lagging boards.

Doubling the ribs: Cut a second rib identical to the first. Lay one rib on top of the other, align the edges carefully, and nail them together with common nails driven every 6 to 8 inches around the perimeter. Doubled ribs resist bending under the load of wet masonry.

Attaching lagging: Stand the doubled rib assembly on edge. Nail 1×4 lagging boards across the curved top, keeping them perpendicular to the ribs. Space them evenly, leaving narrow gaps (roughly the width of a nail) between boards. Do not leave gaps wide enough to allow a voussoir to tip.

Installation: Setting and Striking

Setting the form: The centering rests on temporary adjustable shores or wood wedges placed at the base of the wall opening. Wedges give you fine vertical adjustment. After placing the form, check it with a 4-foot level along the bottom chord (it must be level end-to-end within 1/8 inch) and with a story pole to confirm it is at the correct height in the opening. Check that the form is plumb across its face — a form that leans will produce an arch that is out of plumb.

Striking the form: Once the arch is complete and the mortar has cured sufficiently (follow the project specifications and mortar manufacturer guidance — do not rush this step), the form is removed by slowly tapping out the wedges from both ends toward the center simultaneously. This lowers the form uniformly. If one end is removed first, the form can rotate and apply lateral thrust to the uncured arch, potentially cracking joints. Lower the form straight down; never pry it sideways.

Safety Requirements

Key terms8

CenteringA temporary wooden framework built to the exact arch profile that supports voussoirs and wet mortar during construction until the arch can carry load independently.
RibA curved plywood piece cut to the arch profile; doubled ribs are nailed face-to-face to provide stiffness under the weight of masonry.
Lagging boardsHorizontal 1×4 lumber pieces nailed across the top of the ribs to form the bearing surface on which voussoirs are placed.
Trammel barA long adjustable scribing tool with a pivot pin at one end and a pencil at the other, used to swing an accurate arc of a set radius on plywood.
Spring lineThe horizontal line at the level where the arch curve begins, marking the transition from vertical wall to curved arch.
Striking (the form)The controlled removal of the centering form after the arch mortar has cured, accomplished by gradually tapping out wedges so the form lowers straight down.
ShoreA temporary vertical support, often adjustable, placed beneath the centering form to carry its load during arch construction.
VoussoirA wedge-shaped masonry unit — a brick or stone — that forms part of an arch; the angled sides produce the compression that gives the arch its strength.

Worked examples4

1. An arch has a clear span of 36 inches and a rise of 9 inches. Calculate the radius of the circle that generates this arch so you can set the trammel bar.
  1. Step 1 – Identify the known values. Half-span (s) = 36 ÷ 2 = 18 inches. Rise (r) = 9 inches.
  2. Step 2 – Apply the standard formula for a circular arch radius: R = (s² + r²) ÷ (2r).
  3. Step 3 – Calculate s²: 18 × 18 = 324.
  4. Step 4 – Calculate r²: 9 × 9 = 81.
  5. Step 5 – Add: 324 + 81 = 405.
  6. Step 6 – Divide by 2r: 2 × 9 = 18; then 405 ÷ 18 = 22.5 inches.
  7. Step 7 – Set the trammel bar to 22.5 inches from pivot pin to pencil tip.
Answer: The radius is 22.5 inches.
2. You have set the trammel bar to 22.5 inches and scribed the arc. You then measure from the center point to five points on the arc and get these readings: 22.4 in, 22.6 in, 22.5 in, 22.3 in, 22.5 in. Which measurement(s), if any, are out of the 1/8-inch tolerance, and what action is required?
  1. Step 1 – The tolerance is 1/8 inch = 0.125 inch. Acceptable range: 22.5 − 0.125 = 22.375 in to 22.5 + 0.125 = 22.625 in.
  2. Step 2 – Check each reading against the range: 22.4 in → within range; 22.6 in → within range (22.6 ≤ 22.625); 22.5 in → within range; 22.3 in → 22.3 < 22.375, OUT OF TOLERANCE; 22.5 in → within range.
  3. Step 3 – The fourth measurement (22.3 in) is 0.075 inch below the lower limit. The scribed line at that point must be redrawn and the cut adjusted before proceeding.
Answer: The 22.3-inch measurement is out of tolerance (0.075 inch short). Rescribe and recut that section of the rib before assembly.
3. After setting the completed centering in the opening, you check level and find the left end sits 3/16 inch higher than the right end. The form is resting on wood wedges. What adjustment is needed, and is the form within the 1/8-inch tolerance?
  1. Step 1 – Convert the tolerance: 1/8 inch = 0.125 inch. The measured deviation is 3/16 inch = 0.1875 inch.
  2. Step 2 – Compare: 0.1875 inch > 0.125 inch, so the form is OUT of level tolerance.
  3. Step 3 – To correct: tap the wedge(s) under the higher (left) end inward slightly, or add thickness to the wedge(s) under the lower (right) end, until both ends read the same elevation on the level.
  4. Step 4 – Recheck with the 4-foot level. Repeat small adjustments until end-to-end variation is 1/8 inch or less.
Answer: The 3/16-inch difference exceeds the 1/8-inch tolerance. Adjust the wedges under the high end downward, then recheck until the form is level within 1/8 inch end-to-end.
4. You need to cut nine lagging boards to span between two ribs that are 3.5 inches apart (inside face to inside face). Each 1×4 board is 8 feet long. How many full centering forms (each needing nine boards) can you cut from five 8-foot 1×4s, assuming zero waste?
  1. Step 1 – Each lagging board needs to be 3.5 inches long to span the rib spacing. Each 8-foot (96-inch) board yields: 96 ÷ 3.5 = 27.43, so 27 full pieces per 8-foot board.
  2. Step 2 – Five boards yield: 5 × 27 = 135 lagging pieces total.
  3. Step 3 – Each centering form requires 9 lagging boards. Number of forms: 135 ÷ 9 = 15 forms.
  4. Step 4 – Confirm: 15 forms × 9 boards = 135 pieces, which matches the available count.
Answer: Five 8-foot 1×4s yield enough lagging pieces for 15 centering forms at 9 boards per form.

The math in this lesson2

Learners compute the trammel radius for a 36 in span with 9 in rise and check scribed arc readings and lagging counts.
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Brush up in the math halls at newSchoolWorks.com:
In class: Instructor demonstrates full process: transferring the calculated radius to plywood using a trammel bar or beam compass, cutting the curved profile with a jigsaw, doubling the ribs for rigidity, and attaching lagging boards; students follow along on a practice piece before starting their own · Students construct individual centering forms using the dimensions from their Lesson 2 calculations; instructor circulates, checks radius at five points with a flexible tape, and records deviations on a checklist · Installation drill: students set the centering on temporary shores or wedges in the lab masonry wall opening, adjust for level and plumb using a level and story pole, then practice lowering (striking) the form using wedge removal without lateral movement that would disturb a hypothetical completed arch
Materials: 3/4-inch plywood, lagging boards (1x4 lumber), jigsaw, circular saw, hammer, nails, trammel bar or beam compass, flexible steel tape, 4-foot level, story pole, temporary adjustable shores or wood wedges, safety glasses, hearing protection
Check: Instructor measures radius at five evenly spaced points on the completed form; all five measurements must be within 1/8 inch of the specified radius, and the form must sit level in the opening within 1/8 inch end-to-end; any out-of-tolerance form is corrected before the student may proceed to brick laying

Practice check9

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

Tools, Equipment, and Materials
1. What is the primary purpose of centering in arch construction?
Tools, Equipment, and Materials
2. Why are the plywood ribs of a centering form doubled (two layers nailed face-to-face)?
Mathematics and Measurement
3. A circular arch has a clear span of 48 inches and a rise of 12 inches. Using R = (s² + r²) ÷ (2r), what is the correct radius to set on the trammel bar?
Mathematics and Measurement
4. A circular arch has a clear span of 48 inches and a rise of 12 inches. Using R = (s² + r²) ÷ (2r), what is the correct radius?
Construction Methods and Procedures
5. When striking (removing) a centering form, the correct procedure is to:
Tools, Equipment, and Materials
6. Which tool is most appropriate for cutting the curved rib profile in 3/4-inch plywood?
Safety and Health
7. What minimum personal protective equipment (PPE) is required when operating a jigsaw to cut centering ribs?
Quality Control and Inspection
8. After installing the centering form in the opening, you check it with a 4-foot level and find a 3/32-inch end-to-end difference. Is this within tolerance, and why?
Blueprint Reading and Layout
9. What is the function of the spring line marked on the centering rib?
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