Rafter Length Formula:
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Hip roof rafter calculation determines the length of rafters needed for constructing a hip roof. This type of roof has slopes on all four sides that come together at the top to form a ridge. Accurate rafter length calculation is essential for proper roof construction and material estimation.
The calculator uses the trigonometric formula:
Where:
Explanation: The formula calculates the hypotenuse of a right triangle where the run is the adjacent side and the rafter is the hypotenuse, with the pitch angle between them.
Details: Precise rafter length calculation ensures proper roof construction, prevents material waste, maintains structural integrity, and helps estimate material costs accurately. Incorrect calculations can lead to construction issues, roof instability, and increased expenses.
Tips: Enter the run in meters and the pitch angle in degrees. The run should be a positive value, and the pitch should be between 0 and 90 degrees (exclusive of 90 degrees). For best results, use precise measurements from your architectural plans.
Q1: What is the difference between run and rafter length?
A: Run is the horizontal distance, while rafter length is the actual diagonal length of the rafter from the ridge to the wall plate.
Q2: How do I measure the run for a hip roof?
A: Measure the horizontal distance from the outside edge of the wall to the centerline of the roof ridge. This is typically half the building width minus any overhang.
Q3: Can I use this calculator for other roof types?
A: This formula works for any simple gable or hip roof where you need to calculate rafter length from run and pitch. For complex roof designs, additional calculations may be needed.
Q4: Why does the calculator not accept 90 degrees pitch?
A: At 90 degrees, the cosine value is 0, which would require division by zero - mathematically undefined. In practical terms, a 90-degree pitch represents a vertical wall, not a roof.
Q5: Should I add extra length for overhangs?
A: Yes, this calculator gives the basic rafter length from wall to ridge. You need to add additional length for any desired overhang beyond the wall line.