Cast-in-place headed anchors rely on the bearing area beneath the head or nut to resist tension. ACI 318 expresses the nominal pullout strength Npn as the product of concrete strength, projected bearing area, and an empirical coefficient. Using a circular head, the simplified relationship implemented by this calculator is shown below.
The design strength multiplies the nominal value by the strength reduction factor Ļ to cover variability and provide a safety margin: . Increasing embedment length linearly boosts pullout resistance, while higher concrete strength only increases capacity with the square root of fā²c, illustrating diminishing returns.
Typical values for 3āā in anchors embedded 6ā10 in in normal-weight concrete illustrate the trend between concrete strength and embedment depth.
| fā²c (psi) | Embedment (in) | Nominal (kips) | Design (kips) |
|---|---|---|---|
| 3000 | 6 | 12.6 | 9.4 |
| 4000 | 8 | 22.0 | 16.5 |
| 5000 | 10 | 35.4 | 26.6 |
Remember that edge distance, spacing, and supplementary failure modes such as side-face blowout or concrete breakout may control the design rather than simple pullout. Always consult the governing building code and manufacturer guidance when anchoring critical equipment.