Enter your bolt size, concrete strength, and applied loads to instantly calculate embedment depth, embed plate dimensions, tensile capacity, shear capacity, and minimum edge distances per ACI 318 Chapter 17.
Reviewed by the AllConcreteCalculator.com editorial team — formulas verified against ACI 318-19 Chapter 17 (Anchoring to Concrete), May 2026.
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Required Embedment
Design Capacities (φNn / φVn per ACI 318 Ch. 17)
Estimated Installed Cost
Material and installation cost estimate only. Does not include structural steel, welding, inspection, or engineering fees. Verify with local specialty contractors for accurate budgeting.
⚠ Pro Tip: The governing failure mode for anchor bolts is almost never steel fracture — it's concrete breakout. A ½″ bolt in 3,000 psi concrete may pull out the entire breakout cone before the steel yields. Always check the concrete breakout capacity (Ncbg) first. Using higher-strength concrete (4,000–5,000 psi) reduces required embedment more cost-effectively than upgrading bolt grade.
The calculator uses the Concrete Capacity Design (CCD) method per ACI 318-19 Chapter 17 (previously Appendix D). The governing design capacity is the minimum of several potential failure modes. Here's the process for a single cast-in headed anchor in tension:
| Step | Formula | Example (¾″ bolt, 4000 psi) |
|---|---|---|
| 1. Steel area (Ase) | π/4 × (d − 0.9743/n)² | Ase = 0.334 in² |
| 2. Steel tensile capacity | φNsa = 0.75 × Ase × futa | = 0.75 × 0.334 × 125 = 31.3 kips |
| 3. Breakout base (Nb) | kc × λ × √f'c × hef^1.5 | = 24 × 1.0 × √4000 × h^1.5 / 1000 |
| 4. Breakout capacity | φNcbg = 0.70 × ψ-factors × Nb | ≈ 0.70 × 1.0 × Nb |
| 5. Required hef (solve) | hef = [Nua/(φ × kc × λ × √f'c)]^(2/3) | At Nua=15k → hef ≈ 8.0 in |
| 6. Shear capacity | φVsa = 0.65 × 0.6 × n × Ase × futa | = 0.65 × 0.6 × 1 × 0.334 × 125 = 16.3 kips |
| 7. Interaction check | Nua/φNn + Vua/φVn ≤ 1.2 | Must be ≤ 1.0 for practical use |
| Bolt Dia. | Ase (in²) | φNsa (kips) | φVsa (kips) | Min hef (in) | Min Edge Dist. |
|---|---|---|---|---|---|
| ½″ (12.7 mm) | 0.142 | 13.3 | 6.9 | 4.5 | 3 in |
| ⅝″ (15.9 mm) | 0.226 | 21.2 | 11.0 | 5.5 | 3¾ in |
| ¾″ (19.1 mm) | 0.334 | 31.3 | 16.3 | 7.0 | 4½ in |
| ⅞″ (22.2 mm) | 0.462 | 43.3 | 22.5 | 8.0 | 5¼ in |
| 1″ (25.4 mm) | 0.606 | 56.8 | 29.5 | 9.5 | 6 in |
| 1¼″ (31.8 mm) | 0.969 | 90.8 | 47.2 | 12.0 | 7½ in |
| 1½″ (38.1 mm) | 1.405 | 131.7 | 68.5 | 14.5 | 9 in |
φNsa = steel tensile capacity (controls for high-strength bolts in high f'c concrete). φVsa = steel shear capacity. Actual design must also check concrete breakout, pullout, and side-face blowout. Always govern by the minimum. Values shown assume single anchor with ample edge distance and spacing.
Embedment depth (hef) is the most critical dimension you specify on your anchor bolt shop drawings. Too shallow and you risk a brittle concrete breakout failure — a conical chunk of concrete pulling out, often suddenly, with no ductile warning. ACI 318 establishes both a formula-based minimum and absolute minimums based on bolt diameter.
| Application | Anchor Type | Min hef Rule | Typical hef Range | Notes |
|---|---|---|---|---|
| Column baseplate (light) | Cast-in headed | Greater of 4d or formula | 8–12 in | Often controls edge dist. |
| Column baseplate (heavy) | Cast-in headed | Greater of 4d or formula | 12–24 in | Engineer of record required |
| Shear lug / moment | Cast-in headed | Greater of 4d or formula | 16–36 in | Embed plate with stiffeners |
| Equipment anchor (light) | Cast-in hooked | Greater of 3d or formula | 4–8 in | Tension limited to hook bearing |
| Post-installed (epoxy) | Adhesive anchor | Manufacturer + ACI 355.4 | 6–18 in | Temp. affects adhesive capacity |
| Post-installed (mechanical) | Expansion/undercut | Manufacturer + ACI 355.2 | 3.75–12 in | Not for sustained tension loads |
| Sill plate anchor | Cast-in J-bolt | 7 in min (IBC) | 7–12 in | Seismic zone may increase req. |
When concrete depth limits embedment, you have two code-compliant paths: increase f'c to allow a shorter hef for the same capacity, or add more anchors to distribute the load. Never simply reduce hef and hope the existing concrete can take it — concrete breakout is a non-ductile failure mode that can fail without warning.