Arch Calculator

Arch Dimensions

Width of the arch opening
Height of the arch
Thickness of the arch
Type of arch design
Construction material

Calculation Results

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Arch Calculator: Your Guide to Arch Design

Need to calculate arch dimensions and properties? Our Arch Calculator helps you determine the optimal measurements and structural requirements for your arch design.

Understanding Arch Calculations

Arch calculations are important for several reasons:

  • Structural Integrity: Proper load distribution
  • Design Accuracy: Precise measurements
  • Material Planning: Efficient resource use
  • Cost Estimation: Budget planning
  • Safety Compliance: Building code requirements

How to Use the Arch Calculator

  1. Enter Dimensions: Input span, rise, and thickness
  2. Select Arch Type: Choose design style
  3. Choose Material: Select construction material
  4. Click Calculate: Get detailed results

Arch Calculation Formulas

Arc Length:
L = π × r × (θ/180)

Area:
A = (r² × θ × π/180) - (r × sin(θ))

Volume:
V = A × t

Weight:
W = V × d

Where:
L = Arc length
r = Radius
θ = Central angle
A = Area
t = Thickness
d = Material density

Common Arch Specifications

  • Arch Types:
    • Semicircular: 180° arc
    • Segmental: Less than 180°
    • Pointed: Gothic style
    • Flat: Minimal rise
  • Material Properties:
    • Brick: 120-150 lbs/cu ft
    • Stone: 150-170 lbs/cu ft
    • Concrete: 140-150 lbs/cu ft
    • Steel: 490 lbs/cu ft
  • Common Features:
    • Minimum Rise: 1/4 of span
    • Maximum Span: 40 feet
    • Standard Thickness: 8-12 inches
    • Load Capacity: Varies by material

Real-World Examples

Example 1: Standard Door Arch

Span: 3 feet
Rise: 1.5 feet
Thickness: 8 inches
Arch Type: Semicircular
Material Type: Brick
Results:
- Arc Length: 4.71 feet
- Area: 3.53 sq ft
- Volume: 2.35 cu ft
- Weight: 352.5 lbs

Example 2: Large Window Arch

Span: 6 feet
Rise: 3 feet
Thickness: 12 inches
Arch Type: Segmental
Material Type: Stone
Results:
- Arc Length: 9.42 feet
- Area: 14.14 sq ft
- Volume: 14.14 cu ft
- Weight: 2,262.4 lbs

Frequently Asked Questions

How to choose arch type?
Consider style, span, and structural requirements.
What affects arch stability?
Material strength, dimensions, and load distribution.
How to reinforce arches?
Use proper materials and consider additional support.
What about maintenance?
Regular inspection and proper drainage.
How to calculate load capacity?
Consider material strength and arch geometry.