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Rafter Length Calculator

Rafter Length Formula:

\[ RL = \sqrt{\left(\frac{span}{2}\right)^2 + RH^2} \]

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1. What is the Rafter Length Formula?

The rafter length formula calculates the length of rafters in roof construction using the Pythagorean theorem. It determines the diagonal length based on the span and ridge height of the roof structure.

2. How Does the Calculator Work?

The calculator uses the rafter length formula:

\[ RL = \sqrt{\left(\frac{span}{2}\right)^2 + RH^2} \]

Where:

Explanation: The formula applies the Pythagorean theorem to calculate the hypotenuse of a right triangle, where half the span and ridge height form the two perpendicular sides.

3. Importance of Rafter Length Calculation

Details: Accurate rafter length calculation is essential for proper roof construction, ensuring structural integrity, proper material estimation, and avoiding construction errors.

4. Using the Calculator

Tips: Enter the span and ridge height in meters. Both values must be positive numbers. The calculator will compute the rafter length using the mathematical formula.

5. Frequently Asked Questions (FAQ)

Q1: Why do we divide the span by 2 in the formula?
A: The span represents the total width of the roof, but each rafter spans only half of this distance from the ridge to the edge.

Q2: Does this formula account for roof overhangs?
A: No, this formula calculates the basic rafter length from ridge to wall plate. Additional length should be added for any desired overhang.

Q3: What units should I use for the measurements?
A: The calculator uses meters, but you can use any consistent unit of measurement as long as you use the same unit for all inputs.

Q4: Is this formula suitable for all roof types?
A: This formula works best for simple gable roofs. More complex roof designs may require additional calculations.

Q5: How accurate is this calculation for actual construction?
A: This provides a theoretical length. In practice, you may need to add additional length for joinery, cuts, and specific construction techniques.

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