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newSchoolWorks.com › VoTechWorks › Building & Construction › Masonry › Arches: Layout, Construction, and Structural Principles › Lesson 4
BLD-MASO04-08 · Lesson 4 · 12 clock hours · lab

Voussoir Cutting and Skewback Preparation

Objective. Students will cut skewback bricks and voussoirs to the calculated angle and taper using a masonry saw, producing units with smooth, square cut faces and angular deviation no greater than one degree from the specified skewback angle

⚠ 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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Why Voussoir Cutting Matters

An arch carries load through compression that travels along the curve of the ring and exits at the skewbacks into the supporting piers or abutments. Every voussoir—each wedge-shaped unit in the arch ring—must be cut so that its bed joints, when assembled, converge toward the center of the arch (the center of radius). If any unit is cut to the wrong angle or taper, a gap or hinge point opens in the ring and the arch loses its ability to transfer load uniformly. Accurate cutting is therefore a structural requirement, not just a cosmetic one.

The Skewback

The skewback is the inclined surface at each end of the arch on which the first voussoir rests. For a semicircular arch the skewback angle is 90° measured from vertical—meaning the bearing surface is horizontal at the spring line. For segmental or other arch forms the angle differs, so always work from your calculated springing-line angle before touching the saw. The two skewback bricks must be mirror images of each other; mislabeling them causes the arch to lean to one side.

Setting Up the Masonry Wet Saw

Before every cut, inspect the diamond blade for cracks, missing segments, or warping. A damaged blade must be replaced before the saw is operated. Confirm the water delivery system is flowing freely—wet cutting suppresses silica dust at the source and is the primary dust control method. Even with continuous water flow, wear your N95 dust mask any time you are within the saw's work zone, because water coverage can be incomplete. Always wear safety glasses under a full face shield, hearing protection, and nitrile gloves during cutting operations.

To set the cut angle:

1. Loosen the table-tilt or fence-angle adjustment on the saw (the method varies by saw model—check the manufacturer's guide).

2. Use a digital angle finder or protractor to set the table or fence to the calculated skewback angle.

3. Lock the adjustment firmly and verify the angle a second time before cutting any production brick.

4. Make a test cut on scrap brick and measure the resulting angle before committing to production units.

Secure the brick against the fence or with the rip guide so it cannot shift mid-cut. Feed the brick steadily through the blade in a single smooth pass; do not back the brick up while the blade is spinning, because that can cause kickback.

Cutting Voussoirs

For a standard semicircular arch built with standard modular brick, most voussoirs are cut with a taper—narrower at the intrados (inner curve) and wider at the extrados (outer curve)—rather than with an angled bed. The taper angle for each voussoir is calculated from the number of units in the half-arch and the rise-to-span geometry. Once you have that taper angle, transfer it to the saw setting as described above.

After cutting, use a lumber crayon to label every unit on its top bed with its position number (for example, "L-1" for the first unit from the left spring, "K" for the keystone). This labeling survives the dry layout and prevents confusion at the mortar stage.

Dry Layout and the Taper Gauge

Before any mortar is mixed, arrange all cut voussoirs and skewback units on the centering form in their intended positions. The centering form gives you the curve; the voussoirs must follow it without rocking. Check every joint with a taper gauge: the gauge slides into the joint and reads the opening at the intrados and extrados. The difference between those two readings is the joint taper. Joint width at any point must not exceed the maximum width specified for the mortar type you are using—standard references limit most mortar joints in brick masonry to a maximum of ¾ inch and recommend a nominal ⅜ inch; always follow the project specification. If a joint is out of range, re-cut the offending voussoir before proceeding.

Straighten any unit that rocks on the form by checking whether the cut face is truly flat. A rocker indicates a slight warp in the cut, often from feeding too fast or from a worn blade segment. Dress the face lightly with a rubbing brick or return it to the saw for a corrective pass.

Tolerance and Acceptance

The acceptance standard for this lab is an angular deviation of no more than one degree from the specified skewback angle, measured with a digital angle finder on the cut face. This mirrors the precision expected on a real job where arch units must close tightly enough to carry load without point loading on high spots. Units outside tolerance must be re-cut; attempting to compensate with excess mortar creates a weak joint and undermines the structural intent of the arch.

Silica Dust — Critical Safety Note

Cutting brick generates respirable crystalline silica dust, which causes silicosis—an irreversible and potentially fatal lung disease. OSHA's silica standard for construction requires engineering controls (wet cutting, local exhaust ventilation) as the first line of defense. Wet cutting must be active throughout every cut. An N95 respirator is the minimum respiratory protection when working in the saw area. Never dry-cut without additional engineering controls and a higher-level respirator. Never blow dust off cut units with compressed air.

Key terms8

VoussoirA wedge-shaped masonry unit forming part of an arch ring; its tapered shape directs compressive forces along the curve toward the center of radius.
SkewbackThe angled bearing surface at each end of an arch on which the first voussoir (springer) rests; its angle is determined by the arch geometry at the spring line.
Springing lineThe horizontal (or inclined) line connecting the two points where an arch begins to curve upward from its supports; the reference line for skewback angle calculation.
IntradosThe inner curved surface (soffit) of an arch ring; the shorter, narrower edge of each voussoir.
ExtradosThe outer curved surface of an arch ring; the longer, wider edge of each voussoir.
Taper gaugeA wedge-shaped tool inserted into a masonry joint to measure the width at any point; used during dry layout to verify that joint taper falls within specification.
Centering formA temporary curved wooden or engineered falsework structure that supports arch units in position during construction and dry layout until the arch is self-supporting.
Respirable crystalline silicaFine airborne particles of silicon dioxide released when brick or stone is cut; long-term inhalation causes silicosis, a serious and irreversible lung disease regulated under OSHA's silica standard for construction.

Worked examples4

1. A semicircular arch has a clear span of 36 inches. The arch is built with 9 voussoirs per half-ring (18 total, not counting the single keystone). Each half subtends 90°. What is the central angle assigned to each voussoir, and therefore the joint angle each voussoir must be cut to relative to a radial line?
  1. Step 1 – Determine the angle each voussoir occupies. A semicircle spans 180°. With one keystone at the crown, each half-ring contains 9 voussoirs (the keystone is shared). Each half subtends 90°, so each voussoir occupies 90° ÷ 9 = 10°.
  2. Step 2 – The bed joints between voussoirs must be radial (pointing toward the center). The cut angle on each side of a voussoir is half the central angle it occupies: 10° ÷ 2 = 5°.
  3. Step 3 – Set the saw table to 5° from perpendicular to the face of the brick. Both bed faces of each interior voussoir are cut at 5° on opposite sides, producing the wedge taper.
  4. Step 4 – Verify: 9 voussoirs × 10° each = 90° per half; two halves = 180°. The geometry closes correctly.
Answer: Each voussoir occupies a 10° central angle; each bed face is cut at 5° from square, producing a 10° included taper angle per unit.
2. The radius of the arch soffit (intrados) is 18 inches and each voussoir spans a 10° central angle. What is the intrados arc length for one voussoir? (Use π ≈ 3.1416.)
  1. Step 1 – Arc length formula: L = (central angle in degrees ÷ 360°) × 2πr.
  2. Step 2 – Substitute values: L = (10 ÷ 360) × 2 × 3.1416 × 18.
  3. Step 3 – Calculate: 10 ÷ 360 = 0.02778; 2 × 3.1416 × 18 = 113.10 inches; L = 0.02778 × 113.10 = 3.14 inches.
  4. Step 4 – This tells you the approximate face length at the intrados for one voussoir, useful for confirming the unit fits the curve without excessive joint crowding.
Answer: The intrados arc length per voussoir is approximately 3.14 inches.
3. A digital angle finder placed on the cut skewback face reads 52.3°. The calculated skewback angle for this arch is 53.0°. Is the unit within the one-degree tolerance, and what is the exact deviation?
  1. Step 1 – Find the deviation: |53.0° − 52.3°| = 0.7°.
  2. Step 2 – Compare to the tolerance: 0.7° < 1.0°.
  3. Step 3 – Conclusion: the unit is within the one-degree acceptance standard and does not need to be re-cut.
Answer: The deviation is 0.7°, which is within the one-degree tolerance; the unit is acceptable.
4. A student's taper gauge shows that the intrados joint opening on one voussoir pair is 1/16 inch and the extrados opening is 9/16 inch. The project specification allows a maximum joint width of 3/4 inch (0.75 inch). Is the extrados joint within specification? What is the taper across the joint?
  1. Step 1 – Check the extrados joint against the maximum: 9/16 inch = 0.5625 inch. Compare: 0.5625 < 0.75 inch. The joint width is within specification.
  2. Step 2 – Calculate the taper (difference between extrados and intrados): 9/16 − 1/16 = 8/16 = 1/2 inch = 0.50 inch of taper across the joint.
  3. Step 3 – Record both readings on the dry layout sheet and confirm no adjustment to the cut is needed for this joint.
Answer: The extrados joint at 9/16 inch is within the 3/4-inch maximum; the joint taper is 1/2 inch (0.50 inch).

The math in this lesson1

Learners divide a semicircle into voussoir angles, compute 10° intrados arc length, and check skewback angles within 1°.
G-C.5
In class: Instructor demonstrates setting the masonry wet saw table angle to the calculated skewback angle, securing the brick, and making a single-pass cut; students observe, then each student makes two practice cuts on scrap brick before cutting production units · Students cut full skewback sets for their assigned semicircular arch: two skewback bricks angled to the computed springing-line angle, plus sufficient standard brick for voussoir courses; all cut faces are labeled with a lumber crayon indicating position in the arch · Dry layout on a flat slab: students arrange all cut and standard voussoirs on the centering form without mortar, checking joint taper with a taper gauge and adjusting cut angles as needed before committing to mortar
Materials: Masonry wet saw with diamond blade, safety glasses, face shield, hearing protection, nitrile gloves, dust mask (N95 minimum when saw area is not fully wet), standard modular brick, lumber crayon, taper gauge, flexible tape, protractor or digital angle finder
Check: Instructor measures the skewback angle on each student's cut units with a digital angle finder; deviation must be one degree or less; joints in the dry layout must taper smoothly with no single joint exceeding published maximum joint width for the mortar type; students with out-of-tolerance units re-cut before the mortar lesson

Practice check8

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

NCCER Masonry – Arch construction and structural principles
1. What is the primary structural reason that voussoir bed joints must converge toward the center of the arch radius?
NCCER Masonry – Tool and equipment operation
2. Before cutting production skewback bricks, the correct first step after setting the saw table angle is to:
NCCER Masonry – Quality and tolerances
3. A student's digital angle finder reads 47.8° on the cut skewback face. The specified angle is 49.0°. What action should the student take?
OSHA 10 – Silica and respiratory hazards in construction
4. Which engineering control is required as the first line of defense against respirable crystalline silica when cutting brick with a masonry wet saw?
NCCER Masonry – Arch layout and construction
5. Why must the two skewback bricks in a single arch be mirror images of each other?
NCCER Masonry – Quality control and inspection
6. During dry layout, a taper gauge shows that one joint's extrados opening measures 13/16 inch. The project specification sets a maximum joint width of 3/4 inch. What should the student do?
OSHA 10 – PPE selection and use
7. What personal protective equipment combination is required at minimum when operating a masonry wet saw?
NCCER Masonry – Arch construction procedures
8. After cutting, each voussoir is labeled with its position number using a lumber crayon. What is the main purpose of this labeling?
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