Inclined Length along Slope given Horizontal Length of Prism Calculator

Inclined Length Formula:

\[ b = \frac{L}{\cos(I)} \]

Inclined Length (m):

Minimum Length (5% tolerance):

Maximum Length (5% tolerance):

1. What is Inclined Length along Slope?

Definition: The inclined length is the actual distance along the slope, calculated from the horizontal length and angle of inclination.

Purpose: This calculation is essential in civil engineering, construction, and slope stability analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \frac{L}{\cos(I)} \]

Where:

\( b \) — Inclined length along slope (meters)
\( L \) — Horizontal length of prism (meters)
\( I \) — Angle of inclination (radians)

Explanation: The horizontal length is divided by the cosine of the inclination angle to get the actual slope length.

3. Importance of Inclined Length Calculation

Details: Accurate calculation ensures proper material estimation, structural integrity, and safety in sloped constructions.

4. Using the Calculator

Tips: Enter the horizontal length in meters, angle in radians, and tolerance percentage (default ±5%). All values must be valid.

5. Frequently Asked Questions (FAQ)

Q1: Why is the angle input in radians?
A: The cosine function in most programming languages uses radians. Convert degrees to radians if needed (1° = π/180 radians).

Q2: What does the tolerance percentage mean?
A: It calculates the acceptable range around the calculated length (±5% by default) for practical applications.

Q3: How do I convert degrees to radians?
A: Multiply degrees by π/180 (about 0.0174533). Example: 45° = 45 × π/180 ≈ 0.7854 radians.

Q4: When would I need this calculation?
A: For designing ramps, roads on slopes, retaining walls, or any construction on inclined surfaces.

Q5: What's the maximum angle this formula works for?
A: Theoretically up to 90° (π/2 radians), but practically limited by construction feasibility.