Side Slope of Section Given Hydraulic Radius Calculator

Side Slope of Triangular Channel Formula:

\[ z_{Tri} = \sqrt{\frac{4 \times (R_{H(\Delta)})^2}{(d_{f(\Delta)})^2 - 4 \times (R_{H(\Delta)})^2}} \]

Side Slope of Triangular Channel (z_Tri):

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1. What is the Side Slope of Triangular Channel?

The Side Slope of Triangular Channel represents how far a channel drops over a horizontal distance. It is a crucial parameter in hydraulic engineering for designing and analyzing triangular channel sections.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ z_{Tri} = \sqrt{\frac{4 \times (R_{H(\Delta)})^2}{(d_{f(\Delta)})^2 - 4 \times (R_{H(\Delta)})^2}} \]

Where:

\( z_{Tri} \) — Side Slope of Triangular Channel
\( R_{H(\Delta)} \) — Hydraulic Radius of Triangular Channel (m)
\( d_{f(\Delta)} \) — Depth of Flow of Triangle Channel (m)

Explanation: The formula calculates the side slope based on the relationship between hydraulic radius and depth of flow in a triangular channel section.

3. Importance of Side Slope Calculation

Details: Accurate side slope calculation is essential for proper channel design, flow capacity estimation, and hydraulic efficiency analysis in water management systems.

4. Using the Calculator

Tips: Enter hydraulic radius and depth of flow in meters. Both values must be positive, and the denominator in the formula must be positive for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is hydraulic radius?
A: Hydraulic radius is the ratio of the cross-sectional area of flow to the wetted perimeter of the channel.

Q2: Why is side slope important in channel design?
A: Side slope affects flow velocity, sediment transport capacity, and channel stability in hydraulic systems.

Q3: What are typical side slope values for triangular channels?
A: Side slope values vary depending on channel material and purpose, but common values range from 1:1 to 2:1 (horizontal:vertical).

Q4: Can this formula be used for other channel shapes?
A: No, this specific formula is designed for triangular channel sections only.

Q5: What units should be used for input values?
A: Both hydraulic radius and depth of flow should be entered in meters for consistent results.