Anchor Bolt / Embed Plate Calculator

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.

Free to use No sign-up required Formulas per ACI 318 Ch. 17 Cast-in & post-installed anchors
Tensile & shear capacity Embedment depth (hef) Embed plate sizing Last verified May 2026

Reviewed by the — formulas verified against ACI 318-19 Chapter 17 (Anchoring to Concrete), May 2026.

Enter Anchor Bolt & Loading Parameters

Nominal bolt diameter. Common sizes: ½″, ⅝″, ¾″, 1″.
Please enter a valid bolt diameter greater than 0.
Normal-weight concrete. Common: 3000–5000 psi. Higher f'c = shorter required embedment.
Please enter a valid concrete strength greater than 0.
F1554 Gr. 105 is the most common specification for cast-in anchor bolts in structural steel connections.
Cast-in headed bolts give highest capacity. J-bolts are limited to lighter tension loads per ACI 318 §17.6.5.
Factored tensile (uplift) demand per LRFD load combinations. Enter 0 if tension-only shear connection. Please enter a valid tensile load (0 or greater).
Factored shear demand at the anchor location. Enter 0 for pure tension connections. Please enter a valid shear load (0 or greater).
Anchors sharing the load at this connection. Single anchor = 1. Baseplate with 4 bolts = 4.
Distance from anchor centerline to nearest concrete edge. Leave blank to check minimum required.
$
Installed cost per anchor including material, drilling, and epoxy (if post-installed). US average: $30–$150/anchor.

Results appear instantly. No sign-up required.

Anchor Design Results

Min. Embedment Depth (hef)
Embed Plate Size
Plate Thickness (min)
φNn — Tensile Capacity
φVn — Shear Capacity
Combined Interaction Ratio
Min. Edge Dist.
Min. Bolt Spacing
Bolt Steel Area (Ase)
Anchor Type
⚠ Interaction Ratio Exceeds 1.0 — The combined tension+shear interaction ratio is greater than 1.0. Increase bolt diameter, increase the number of anchors, use a higher-grade steel, or increase concrete strength. Do not use this configuration without revision.

Material and installation cost estimate only. Does not include structural steel, welding, inspection, or engineering fees. Verify with local specialty contractors for accurate budgeting.

CONCRETE BREAKOUT — Tensile (ACI 318-19 §17.6.2):
Ncbg = (ANc / ANco) × ψed,N × ψc,N × ψcp,N × Nb
Nb = kc × λ × √f'c × hef^1.5 (kip, psi, in units)
kc = 24 (cast-in), 17 (post-installed) | φ = 0.70

STEEL STRENGTH — Tensile (§17.6.1):
Nsa = n × Ase × futa | φ = 0.75
Ase = π/4 × (d - 0.9743/n_threads)²

STEEL STRENGTH — Shear (§17.7.1):
Vsa = n × Ase × 0.6 × futa | φ = 0.65

COMBINED INTERACTION (§17.8.3):
If Nua > 0.2·φNn AND Vua > 0.2·φVn:
Nua/(φNn) + Vua/(φVn) ≤ 1.2

EMBEDMENT DEPTH (back-solving Nb = Nua/φ, per anchor):
hef = (Nua/(φ × kc × λ × √f'c))^(2/3)
Round up to nearest ½ inch. Min hef = 4d (headed), 3d (hooked).

EMBED PLATE: Plate width = max(4d, hef/2) per AISC Design Guide 1.
Plate thickness = 0.5 × bolt diameter (minimum practical).

EDGE DISTANCE: ca,min = 6d (cast-in, ACI 318 §17.9.4)
BOLT SPACING: s_min = 6d (ACI 318 §17.9.3)

How to Use This Anchor Bolt Calculator

  1. Enter the bolt size and concrete strength. Select the nominal bolt diameter and enter your specified concrete compressive strength (f'c). These two values drive the concrete breakout cone capacity — the most common governing failure mode for anchor bolts in tension. Use your structural drawings or specifications as the source of record, not field measurements.
  2. Select bolt grade and anchor type. F1554 Grade 105 is the standard specification for cast-in anchor bolts used with structural steel columns and equipment bases. If you're using post-installed adhesive anchors, select that option — the concrete breakout coefficient (kc) changes from 24 to 17, which increases the required embedment depth for the same load.
  3. Enter factored (LRFD) applied loads. Input your calculated factored tensile load (Nua) and shear load (Vua) from your load combination analysis. These must be the factored loads, not service loads — if you're working with service-level forces, multiply by applicable LRFD factors (typically 1.2D + 1.6L) before entering. Enter 0 for a load that doesn't apply to your connection.
  4. Use the results to detail your anchor group. The required embedment depth (hef), embed plate size, and minimum edge distances are the critical outputs you take to your structural drawings. Verify the interaction ratio is below 1.0. If it's close to 1.0 or exceeds it, increase the bolt count, use a larger diameter, or add a thicker concrete element. Always confirm final design with a licensed structural engineer for code-required projects.

⚠ 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.

Anchor Bolt Design Formula (ACI 318 Chapter 17)

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)²Ase = 0.334 in²
2. Steel tensile capacityφNsa = 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 capacityφNcbg = 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 capacityφVsa = 0.65 × 0.6 × n × Ase × futa= 0.65 × 0.6 × 1 × 0.334 × 125 = 16.3 kips
7. Interaction checkNua/φNn + Vua/φVn ≤ 1.2Must be ≤ 1.0 for practical use

Common Anchor Bolt Capacity Reference Table

Design tensile capacity (φNsa) and required minimum embedment for single cast-in headed anchors. f'c = 4,000 psi, F1554 Gr. 105. Single anchor, no edge effects.
Bolt Dia. Ase (in²) φNsa (kips) φVsa (kips) Min hef (in) Min Edge Dist.
½″ (12.7 mm)0.14213.36.94.53 in
⅝″ (15.9 mm)0.22621.211.05.53¾ in
¾″ (19.1 mm)0.33431.316.37.04½ in
⅞″ (22.2 mm)0.46243.322.58.05¼ in
1″ (25.4 mm)0.60656.829.59.56 in
1¼″ (31.8 mm)0.96990.847.212.07½ in
1½″ (38.1 mm)1.405131.768.514.59 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.

Selecting the Right Embedment Depth

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.

Required minimum embedment depths by application and anchor type. Formula-based hef may govern for heavily loaded anchors.
Application Anchor Type Min hef Rule Typical hef Range Notes
Column baseplate (light)Cast-in headedGreater of 4d or formula8–12 inOften controls edge dist.
Column baseplate (heavy)Cast-in headedGreater of 4d or formula12–24 inEngineer of record required
Shear lug / momentCast-in headedGreater of 4d or formula16–36 inEmbed plate with stiffeners
Equipment anchor (light)Cast-in hookedGreater of 3d or formula4–8 inTension limited to hook bearing
Post-installed (epoxy)Adhesive anchorManufacturer + ACI 355.46–18 inTemp. affects adhesive capacity
Post-installed (mechanical)Expansion/undercutManufacturer + ACI 355.23.75–12 inNot for sustained tension loads
Sill plate anchorCast-in J-bolt7 in min (IBC)7–12 inSeismic 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.

Common Mistakes When Designing Anchor Bolts

Frequently Asked Questions

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