How to calculate length of rafters

Introduction
Rafters are an essential component of any roof structure, providing support to the roof deck and ultimately, shielding your home from rain, snow, and other environmental elements. To ensure that your roof is sturdy and can withstand these conditions, it is crucial to calculate the length of your rafters accurately. By following these steps outlined in this article, you can calculate and install rafters to create a well-supported roof for your home.
Step 1: Determine the Pitch of Your Roof
The pitch of a roof is its slope or steepness, generally expressed as a fraction or ratio. The higher the pitch number, the steeper the angle of the roof. Establishing the pitch is crucial as it affects the length of your rafters. To determine the pitch, measure the horizontal distance between two points on and parallel to the top ridge of your roof structure and divide it by two.
Step 2: Calculate the Run or span
The run or span refers to half the distance between where the rafter sits on an exterior wall and where it meets at the peak. The span generally depends on factors such as local building codes and architectural specifications.
Step 3: Determine Rafter Length using Pythagorean theorem
With both the pitch and run identified, you can now determine your rafter length using Pythagorean theorem or trigonometry. Apply the relation between sides of right-angled triangle:
Hypotenuse (rafter length)² = Base (run)² + Height (difference in height concerning pitch)².
This equation will give you an approximate value for one rafter’s length.
Step 4: Factor in Overhangs
Accounting for overhangs is necessary in order to protect exterior walls and provide improved drainage away from your house. If you have or plan to install guttering on your roof overhangs are important. Measure your desired overhang and add this value to your earlier calculated rafter length.
Step 5: Incorporate Rafter’s Thicknesses
When calculating rafter lengths, it’s essential to account for the thickness of each rafter. Subtract half the width of your ridge board and half the width of the rafter’s top end from the previously calculated rafter length. This adjusted number will be the accurate length for each individual rafter.
Step 6: Cut and Install Rafters
Cut rafters using a saw according to the calculated lengths. Install them on your roof structure, starting with a plumb cut at the peak, followed by a birdsmouth cut where it rests on the wall plate, and finally an angled cut at the tail where the overhang will be.
Conclusion
Calculating rafter lengths ensures both structural integrity and effective protection for your home. By following these steps outlined above, you can accurately determine rafter lengths while taking into account factors such as pitch, run, overhangs, and thicknesses. With precise calculations in hand, you can confidently move forward with constructing a secure and durable roof for your property.