Enter the nominal diameter and thread pitch of a bolt into the calculator to determine the root area. The root area is a critical measure for understanding the strength and load-bearing capacity of the bolt.
Bolt Root Area Formula
The following formula is used to calculate the root area of a bolt:
A = π * (D_r / 2)²
Where:
- A is the root area (mm²)
- D_r is the root diameter (mm), calculated as D – 1.226869 * P
- D is the nominal diameter of the bolt (mm)
- P is the thread pitch (mm)
To calculate the root area, first determine the root diameter by subtracting 1.226869 times the thread pitch from the nominal diameter. Then, use the root diameter to calculate the area using the formula above.
What is Bolt Root Area?
The root area of a bolt is the cross-sectional area at the bottom of the threads, which is the narrowest part of the bolt. It is an important factor in determining the tensile strength of the bolt, as it is the area that is most susceptible to stress and potential failure. The root area is used in engineering calculations to ensure that bolts can handle the required loads in various applications.
How to Calculate Bolt Root Area?
The following steps outline how to calculate the Bolt Root Area:
- First, determine the nominal diameter of the bolt (D) in millimeters.
- Next, determine the thread pitch (P) in millimeters.
- Calculate the root diameter (D_r) using the formula D_r = D – 1.226869 * P.
- Finally, calculate the Bolt Root Area (A) in square millimeters using the formula A = π * (D_r / 2)².
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Nominal diameter of the bolt (D) = 12 mm
Thread pitch (P) = 1.75 mm
