Architectural Typology & Engineering

Types of Arches: Complete Architectural Comparison Guide

Discover the structural mechanics, historical origins, framing difficulty, and aesthetic traits of all major architectural arch profiles.

Architectural Classification

Types of Arches Comparison Matrix & Live Inspector

Compare geometric construction, structural load characteristics, and framing difficulty across all architectural arch shapes.

← Swipe comparison table horizontally →
Arch Style Geometry Base Rise-to-Span Structural Thrust Difficulty Typical Application
Segmental Single shallow circular arc (center below springline) 1:3 to 1:6 High lateral kick (requires abutments) Easy Interior room dividers, brick window heads
Semicircular (Roman) Full 180° semicircle (Radius = Span/2) Exact 1:2 Balanced vertical load (zero kick) Easy Classical architecture, Roman aqueducts, arches
Elliptical True mathematical ellipse (major & minor axes) Flexible Smooth compression distribution Moderate Cased openings, luxury custom trim, carriage doors
Gothic / Pointed Dual intersecting circular arcs meeting at crown 1:1 to 2:1 Directs thrust sharply downward Moderate Cathedrals, ecclesiastical windows, tall gates
Tudor (4-Centered) Four distinct radius centers (2 tight, 2 flat) 1:3 Moderate lateral thrust Advanced English Tudor fireplaces, estate entry gates
Horseshoe (Moorish) Circular arc extending beyond 180° > 1:2 Inward pinching at neck springline Advanced Islamic, Moorish, and Spanish revival architecture
Jack / Flat Arch Flat horizontal soffit with angled skewback bricks 0 (Flat) Extremely high lateral kick (Requires Buttress) Advanced Georgian brick window lintels, fireplace surrounds
Segmental Arch Thrust: 85% Lateral Kick Difficulty: Easy

Best for: Interior room dividers, brick window heads, shallow porch headers.

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Architectural Profiles

7 Essential Architectural Arch Types & Thrust Simulator

Compare mathematical formulas, structural thrust characteristics, and live compressive load vectors across the 7 fundamental arch profiles.

Interactive Profile Inspector

Segmental Arch Profile

Pier Pier Springline Gravity Load
Outward Lateral Kick Lateral Thrust: 85%

Shallow circular chord arches create intense horizontal outward forces (thrust) at the springline, requiring substantial wall backing or reinforced abutments.

R = (H / 2) + (W² / (8 × H))
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Segmental Arch Thrust: 85%

Segmental Arch

Shallow circular arc less than 180°

Formula
R = (H / 2) + (W² / (8 × H))
Thrust: High horizontal lateral kick; requires sturdy wall backing.
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Semicircular (Roman) Arch Thrust: 15%

Semicircular (Roman) Arch

Full 180° half-circle where Rise = Half Span

Formula
R = W / 2 | Rise = Radius
Thrust: Balanced vertical thrust; vertical springline eliminates horizontal kick at jambs.
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Elliptical Arch Thrust: 55%

Elliptical Arch

True semi-ellipse or 3/5-centered compound curve

Formula
(x²/a²) + (y²/b²) = 1 | a = W/2, b = H
Thrust: Variable curvature distributes compression; flatter crown with steep shoulders.
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Gothic (Pointed / Equilateral) Thrust: 20%

Gothic (Pointed / Equilateral)

Two intersecting circular arcs meeting at an apex point

Formula
R = W (Equilateral) | R = (W² + 4H²) / (4W) (Lancet)
Thrust: Steep arch vector redirects forces downwards, drastically reducing horizontal thrust.
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Tudor (Four-Centered) Arch Thrust: 70%

Tudor (Four-Centered) Arch

Compound 4-radius curve with pointed apex and low rise

Formula
2 Small Shoulder Radii (r) + 2 Large Crown Radii (R)
Thrust: Moderate thrust; allows wide, low-clearance openings without sacrificing gothic styling.
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Horseshoe (Moorish / Keyhole) Thrust: 50%

Horseshoe (Moorish / Keyhole)

Circular arc exceeding 180° with inwards-curving imposts

Formula
Sweep Angle θ > 180° | Springline < Opening Width
Thrust: Requires firm impost columns to prevent pinching inward at the neck.
Click to test in studio ↑
Jack / Flat Lintel Arch Thrust: 95%

Jack / Flat Lintel Arch

Horizontal soffit supported by angled skewback voussoirs

Formula
Skewback Angle θ ≈ 60°–70° | soffit Camber ≈ 1/8" per foot
Thrust: Extreme outward horizontal thrust; requires heavy masonry abutments on both sides.
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Architect's Selection Guide

How to Choose the Right Arch for Your Project

Balance ceiling headroom clearance, wall abutment thickness, and construction complexity.

Low Ceiling (8-Foot)

Segmental or Tudor Arch

Preserves walk-through clearance by keeping crown rise between 6\" and 12\". Ideal for standard 80\" high interior doorways where headroom above the header is constrained.

High Ceiling (9-12 Foot)

Roman Semicircular Arch

Provides a grand, majestic architectural transition with pure vertical load distribution and zero horizontal kick at the springline jambs.

Wide Cased Openings (5-8 Foot)

Elliptical Arch

Delivers a soft, graceful curve that spans broad living room dividers without creating a massive tall peak that interferes with ceiling joists.

Expert Knowledge Base

Frequently Asked Questions

Common carpentry, masonry, and geometric questions regarding arch calculations and construction layout.

Q1 What are the most common types of arches used in modern construction?

The three most common residential arches are: (1) Segmental arches (ideal for low-headroom interior doorways and brick window lintels), (2) Semicircular / Roman arches (popular for dramatic high-ceiling foyer entries and round-top windows), and (3) Elliptical arches (favored for wide cased living room pass-throughs).

Q2 Which arch shape is structurally the strongest?

For unreinforced masonry under uniform self-weight, the catenary arch is structurally ideal because it experiences 100% pure axial compression. For carrying uniform horizontal deck loads (like bridge roadways or roof floors), the parabolic arch is strongest. In medieval stone masonry, the Gothic pointed arch was strongest because it directed thrust steeply downward rather than sideways.

Q3 Which arch type causes the least loss of ceiling walk-through height?

Segmental and Tudor arches preserve the most vertical headroom. A segmental arch can have a rise as low as 1/6 to 1/8 of its span (e.g. only 6" to 8" of rise on a 4-foot doorway), whereas a semicircular arch requires a rise equal to half its span (24" of rise on a 4-foot doorway).

Q4 What is the easiest arch for a DIY carpenter to frame?

A segmental arch or semicircular arch is the easiest because it has a single constant radius that can be scribed with a simple beam compass or laid out using calculated offset coordinates.