1. What is Slope Calculation?

Slope calculation determines the steepness or incline of a ramp, represented as the ratio of vertical change (rise) to horizontal change (run). It is a fundamental concept in geometry and construction for designing accessible ramps.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( m \) — Slope (unitless)
• \( \text{rise} \) — Vertical change in feet
• \( \text{run} \) — Horizontal change in feet

Explanation: The formula calculates how much vertical elevation changes per unit of horizontal distance, providing the slope ratio.

3. Importance of Slope Calculation

Details: Accurate slope calculation is essential for designing accessible ramps that meet ADA requirements, ensuring safety, and proper drainage in construction projects.

4. Using the Calculator

Tips: Enter both rise and run values in feet. Both values must be positive numbers, with run greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the maximum slope for an ADA compliant ramp?
A: The maximum slope for an ADA compliant ramp is 1:12, meaning 1 foot of rise per 12 feet of run.

Q2: How do I convert slope to degrees?
A: To convert slope to degrees, use the formula: degrees = arctan(slope) × (180/π).

Q3: What is considered a steep slope?
A: Generally, slopes greater than 1:4 (25%) are considered steep and may require special design considerations.

Q4: Can slope be expressed as a percentage?
A: Yes, slope percentage = (rise/run) × 100%. A 1:12 slope equals approximately 8.33% grade.

Q5: Why is slope unitless?
A: Slope is unitless because it represents a ratio of two measurements with the same units (feet/feet), which cancel out.