Horizontal Length of Prism Calculator

Horizontal Length Formula:

\[ L = b \times \cos(I) \]

Horizontal Length (m):

Tolerance Range (m):

1. What is Horizontal Length of Prism?

Definition: The horizontal length of a prism is the length of its projection onto a horizontal surface, calculated from its inclined length and angle of inclination.

Purpose: This calculation is essential in civil engineering, construction, and geology for determining the true horizontal dimensions of sloped structures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = b \times \cos(I) \]

Where:

\( L \) — Horizontal length (meters)
\( b \) — Inclined length of prism (meters)
\( I \) — Angle of inclination (degrees)

Explanation: The cosine function converts the inclined length to its horizontal component by accounting for the angle of slope.

3. Importance of Horizontal Length Calculation

Details: Accurate horizontal measurements are crucial for structural design, stability analysis, and construction planning, especially for sloped surfaces.

4. Using the Calculator

Tips: Enter the inclined length in meters, angle of inclination in degrees, and tolerance percentage (default ±5%). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the tolerance percentage for?
A: The tolerance (±5% by default) accounts for measurement uncertainties and provides a range of acceptable values.

Q2: What's a typical angle of inclination?
A: This varies by application - common ranges are 15-30° for embankments, 30-45° for natural slopes, and up to 90° for vertical walls.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise, but actual accuracy depends on the precision of your input measurements.

Q4: Can I use this for vertical measurements?
A: Yes, but at 90° the horizontal length becomes zero as all length is vertical.

Q5: What units should I use?
A: The calculator uses meters for length and degrees for angles. Convert your measurements accordingly.