Grade Slope Formula:
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Grade slope percentage is a measure of the steepness or incline of a surface, expressed as a percentage. It represents the vertical rise divided by the horizontal run, multiplied by 100 to convert to percentage form.
The calculator uses the grade slope formula:
Where:
Explanation: This formula calculates the ratio of vertical change to horizontal distance, providing a standardized way to express slope steepness.
Details: Grade percentage is crucial in civil engineering, road construction, landscaping, accessibility planning, and sports training. It helps determine if slopes meet safety standards and functional requirements.
Tips: Enter both rise and run values in the same units (either feet or meters). Ensure both values are positive numbers greater than zero for accurate calculation.
Q1: What is considered a steep grade?
A: Generally, grades above 10% are considered steep, while grades above 15% may require special considerations for vehicles and accessibility.
Q2: How does grade percentage relate to degrees?
A: Grade percentage = tan(angle in degrees) × 100. For example, a 45° angle equals 100% grade.
Q3: What is the maximum recommended grade for roads?
A: Most road standards recommend maximum grades of 6-8% for major highways and 10-12% for local roads, depending on design speed.
Q4: Can I use different units for rise and run?
A: No, both values must be in the same units (both feet or both meters) for the calculation to be accurate.
Q5: What does a negative grade percentage mean?
A: Negative grade indicates a downward slope or decline rather than an incline.