Arch Calculator
Arch Dimensions
Calculation Results
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
- Enter Dimensions: Input span, rise, and thickness
- Select Arch Type: Choose design style
- Choose Material: Select construction material
- Click Calculate: Get detailed results
Arch Calculation Formulas
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