Estimating required thread engagement
Thread engagement is the axial length over which mating threads carry load. In a tapped part, increasing engagement can increase resistance to stripping, but the bolt itself may become the limiting component. The calculation compares an approximate internal-thread shear area with the entered load and material allowance.
Count complete engaged threads
A chamfer, countersink, tap lead, or incomplete bottom thread may not contribute the same load-bearing area as a complete thread. Use effective engagement after accounting for those features. The depth of a drilled blind hole is not the same as usable thread engagement.
Use the estimate within its limits
Thread form, tolerance, material pairing, insert geometry, and the distribution of load between threads affect stripping strength. This approximation is useful for preliminary sizing, not a substitute for a specified thread-strength method or a qualified test. Check bolt strength and the surrounding tapped part as well.
Distinguishing engagement from hole depth
A tapped blind hole includes space that may not contain full-form threads. The tap's lead, the drill point, and any entrance chamfer reduce the useful portion. Effective engagement should describe the axial overlap of complete mating threads when the fastener is assembled. A long screw does not increase that overlap if it bottoms before the joint is clamped.
The calculation uses a simplified shear-area relationship for the internal thread. Material strength on the tapped side can be very different from the fastener's strength, so a high-grade bolt alone does not establish a strong threaded connection. Compare the assumed thread-shear allowance with the actual material condition. As engagement increases, the bolt or surrounding part may govern instead of thread stripping. Thread load is not perfectly uniform along the engaged length, particularly near the first engaged threads. Use the estimate to compare preliminary lengths and identify a likely limitation, then verify the chosen geometry using the relevant design method or test evidence for the application.
Formula
Equate bolt tensile load with approximate internal-thread shear resistance; add incomplete threads.