Gradient Formula:
From: | To: |
Gradient represents the steepness or incline of a surface, expressed as a percentage. It is calculated as the ratio of vertical rise to horizontal run multiplied by 100. This measurement is crucial for ramp design, road construction, and accessibility planning.
The calculator uses the gradient formula:
Where:
Explanation: The formula calculates the percentage slope by dividing the vertical change by the horizontal distance and converting to percentage.
Details: Accurate gradient calculation is essential for designing accessible ramps, determining road safety standards, planning drainage systems, and ensuring structural stability in construction projects.
ADA Requirements: The Americans with Disabilities Act specifies that ramps must have a maximum gradient of 8.33% (1:12 ratio). This ensures wheelchair accessibility and safe navigation for people with mobility impairments.
Q1: What is the maximum gradient for ADA compliant ramps?
A: The maximum allowable gradient is 8.33% (1:12 ratio) for accessible ramps according to ADA standards.
Q2: How do I convert gradient to degrees?
A: Use the formula: degrees = arctan(gradient/100). For example, 8.33% gradient equals approximately 4.76 degrees.
Q3: What gradient is considered steep for walking?
A: Gradients above 10% are generally considered steep for comfortable walking, while gradients above 15% may require stairs or special considerations.
Q4: Can gradient be negative?
A: Yes, negative gradient indicates a downward slope or decline rather than an incline.
Q5: What are typical gradients for different applications?
A: Driveways: 12-15%, Accessible ramps: ≤8.33%, Main roads: ≤6%, Mountain roads: 6-10%, Stairs: 60-75%.