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Inner Length Of Frame Given Outer Length And Vertex Diagonal Calculator

Formula Used:

\[ l_{Inner} = l_{Outer} - (\sqrt{2} \times d_{Vertex}) \]

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m

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1. What is the Inner Length of Frame?

The Inner Length of Frame refers to the length or longest side of the inner rectangle of a frame structure. It is an important geometric measurement used in various design and construction applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Inner} = l_{Outer} - (\sqrt{2} \times d_{Vertex}) \]

Where:

Explanation: The formula calculates the inner length by subtracting the product of the square root of 2 and the vertex diagonal from the outer length of the frame.

3. Importance of Inner Length Calculation

Details: Accurate calculation of the inner length is crucial for proper frame design, material estimation, and ensuring proper fit of components within the frame structure.

4. Using the Calculator

Tips: Enter the outer length and vertex diagonal in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters as the default unit. Ensure consistent units for both outer length and vertex diagonal measurements.

Q2: Can this formula be used for any frame shape?
A: This specific formula is designed for rectangular frames where the inner and outer rectangles are concentric and parallel.

Q3: What if I get a negative result?
A: A negative result indicates that the vertex diagonal is too large relative to the outer length, which may suggest invalid input values for a physical frame.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric relationship between the outer length, vertex diagonal, and inner length of a frame.

Q5: Can this be used for frames with different thicknesses?
A: The formula assumes uniform frame thickness. For frames with varying thickness, more complex calculations may be required.

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