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Top Widths Given Section Factor Calculator

Formula Used:

\[ T = \frac{Z_{Para}}{0.544331054 \times d_f^{1.5}} \]

m2.5
m

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1. What is Top Width Given Section Factor?

The Top Width Given Section Factor calculation determines the width at the top of a parabolic channel section based on the section factor and depth of flow. This is important in hydraulic engineering for designing efficient water channels.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{Z_{Para}}{0.544331054 \times d_f^{1.5}} \]

Where:

Explanation: The formula calculates the top width of a parabolic channel section by relating the section factor to the depth of flow raised to the power of 1.5, with a constant coefficient of 0.544331054.

3. Importance of Top Width Calculation

Details: Accurate top width calculation is crucial for hydraulic design, flood management, and ensuring proper water flow characteristics in parabolic channel sections.

4. Using the Calculator

Tips: Enter the section factor in m2.5 and depth of flow in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the Section Factor of Parabola?
A: The Section Factor of Parabola is the ratio of normal to critical channel depth, representing the channel's hydraulic characteristics.

Q2: Why is the exponent 1.5 used in the formula?
A: The exponent 1.5 comes from the hydraulic geometry relationships for parabolic channels, reflecting the non-linear relationship between depth and width.

Q3: What are typical values for Top Width in parabolic channels?
A: Top width varies significantly based on channel size and design requirements, ranging from a few meters for small channels to tens of meters for major watercourses.

Q4: Are there limitations to this formula?
A: This formula is specific to parabolic channel sections and may not be accurate for other channel shapes or under extreme flow conditions.

Q5: How does depth of flow affect top width?
A: As depth increases, top width increases non-linearly due to the 1.5 exponent in the denominator, reflecting the parabolic shape of the channel.

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