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Flat Width Ratio For Deflection Determination Calculator

Flat Width Ratio Formula:

\[ wt = \frac{5160}{\sqrt{fuc}} \]

Pascal

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1. What is Flat Width Ratio?

Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element. It is used in deflection determination for cold-formed steel elements.

2. How Does the Calculator Work?

The calculator uses the Flat Width Ratio formula:

\[ wt = \frac{5160}{\sqrt{fuc}} \]

Where:

Explanation: The formula calculates the flat width ratio based on the computed unit stress of the cold-formed element using a square root function.

3. Importance of Flat Width Ratio Calculation

Details: Accurate flat width ratio calculation is crucial for determining deflection characteristics and ensuring structural integrity in cold-formed steel design applications.

4. Using the Calculator

Tips: Enter computed unit stress of cold formed element in Pascal. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the constant 5160 in the formula?
A: The constant 5160 is derived from empirical data and testing standards for cold-formed steel elements, representing a calibration factor for deflection determination.

Q2: What are typical values for flat width ratio?
A: Typical values range from 10 to 30, depending on the material properties and stress levels. Higher ratios indicate more slender elements.

Q3: When should this calculation be used?
A: This calculation should be used in the design and analysis of cold-formed steel structural elements where deflection control is important.

Q4: Are there limitations to this formula?
A: The formula is specifically calibrated for cold-formed steel elements and may not be applicable to other materials or different manufacturing processes.

Q5: How does unit stress affect the flat width ratio?
A: Higher unit stress values result in lower flat width ratios, indicating that elements under higher stress require more conservative width-to-thickness ratios.

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