Sovereignty Module: Raise the Arch

Cover of Raise the Arch
Raise the Arch
Complete Arch and Vault Construction: From Brick to Span
⟁ cover painted for this edition — the source module carried no illustrations

Complete Arch and Vault Construction: From Brick to Span

The arch is one of humanity's greatest structural inventions, spanning openings that flat beams cannot. This campaign covers arch types, centering, construction, and vault building.

Chapter 1: Arch Types

TypeShapeSpan RatioStrengthDifficultyHistorical Period
Round (Roman)SemicircleHeight = 1/2 spanVery highModerateRoman, 500 BCE+
SegmentalArc less than semicircleHeight < 1/2 spanHighModerateMedieval+
Pointed (Gothic)Two arcs meeting at pointVariableVery highModerate-highGothic, 1100+
Flat (jack arch)Nearly flat with slight riseHeight = 1/20 spanModerateHighAll periods
ParabolicParabolaVariableVery highHighModern
CorbelledStepped overhangVariableModerateLowAncient, 3000 BCE+

Chapter 2: Centering (Formwork)

Centering construction: 1) Centering is the temporary wooden form that supports the arch during construction. 2) Build two identical curved ribs from lumber (cut to arch profile). 3) Connect ribs with cross pieces (spacers at arch width). 4) Cover top surface with thin boards or plywood (lagging). 5) Support centering on posts or wedges at correct height. 6) Centering must be strong enough to support all bricks until keystone is placed. 7) After keystone is placed and mortar cures, remove centering. 8) Remove by knocking out wedges (centering drops slightly, separates from arch).

ComponentMaterialPurposeSpecification
Ribs2x lumber, cut to curveDefine arch shapeTwo per arch, match arch profile
LaggingThin boards or plywoodSupport bricks during layingCover top of ribs
Cross pieces2x lumberSpace ribs at arch widthSame width as wall
Support posts4x4 or timberHold centering at correct heightPlumb, on solid base
WedgesWood wedgesAllow centering removalUnder support posts

Chapter 3: Brick Arch Construction

Round arch construction: 1) Build wall to spring line (where arch begins). 2) Set centering in place at correct height. 3) Verify centering is level and at correct span. 4) Begin laying bricks from both sides simultaneously. 5) Bricks radiate from center point (all joints point to center of circle). 6) Use tapered mortar joints (wider on outside, thinner on inside). 7) Or use tapered bricks (voussoirs) for uniform joints. 8) Work from both sides toward the top. 9) Place keystone (center brick at top) last. 10) Keystone locks the arch and transfers load to both sides. 11) Allow mortar to cure 7 days minimum. 12) Remove centering by knocking out wedges.

PrincipleRuleWhy
Radial jointsAll joints point to arch centerEven load distribution
Symmetrical loadingBuild both sides equallyPrevents centering from tipping
Keystone lastCenter stone placed lastLocks arch, transfers all loads
Mortar cure before strikingWait 7+ daysMortar must reach strength before centering removal
Adequate abutmentWalls beside arch must be thick enoughArch pushes outward (thrust); walls must resist

Chapter 4: Vault Construction

Vault TypeShapeComplexitySpanBest For
Barrel vaultExtended arch (tunnel)ModerateUp to 20 feetCellars, tunnels, long rooms
Groin vaultTwo barrel vaults crossingHighUp to 20 feetSquare rooms, intersections
Ribbed vaultRibs at edges, thin fillVery highUp to 40 feetLarge spaces, Gothic
DomeRotated archHighUp to 30 feetRound rooms, cisterns
Catalan vault (tile vault)Thin tile layersModerateUp to 15 feetFloors, roofs, stairs

Barrel vault: 1) Build two parallel walls to desired height. 2) Set centering (full-length arch form) between walls. 3) Lay bricks in arched courses from one end to the other. 4) Each course is a complete arch. 5) Courses stack from one end of vault to the other. 6) Backfill above vault with rubble and earth. 7) Remove centering after mortar cures.

Chapter 5: Structural Principles

ForceDirectionResistanceDesign Response
CompressionAlong arch curveStone/brick are strong in compressionArch works entirely in compression
ThrustOutward at base (horizontal)Thick walls, buttresses, tie rodsAbutments must resist outward push
Dead loadDownward (gravity)Arch transfers to abutmentsArch converts vertical load to diagonal
Live loadVariable (people, wind, snow)Distributed through archSymmetrical loading is ideal

Reference Card

  1. The keystone locks the arch (the center stone at the top of the arch is placed last; it wedges between the two halves and transfers all loads to the abutments). 2. All joints point to the center (every mortar joint in a round arch radiates from the center point of the circle; this ensures even compression throughout the arch). 3. Build both sides equally (laying bricks from both sides simultaneously keeps the centering balanced; loading one side causes the centering to tip). 4. The arch works in compression (stone and brick are strong in compression but weak in tension; the arch shape converts all loads into compression, which is why arches can span great distances). 5. Thrust pushes outward (an arch pushes outward at its base; the walls or buttresses beside the arch must be thick and heavy enough to resist this outward thrust). 6. Wait before removing centering (mortar must cure for at least 7 days before the centering is removed; premature removal causes the arch to collapse). 7. A corbelled arch is the simplest (each course of brick or stone overhangs the one below until the two sides meet; it requires no centering but spans less distance than a true arch). 8. The arch enabled civilization (without the arch, buildings were limited to the span of a single beam; the arch allowed Romans to build aqueducts, bridges, and buildings that still stand 2,000 years later).
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