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.
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Formulas per ACI 318 Ch. 17
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Cast-in & post-installed anchors
✓ Tensile & shear capacity✓ Embedment depth (hef)✓ Embed plate sizing✓ Last verified May 2026
Written by Rachel Sousa· Reviewed by Daniel Merritt, P.E. — 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.
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.
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Anchor Design Results
Required Embedment
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Min. Embedment Depth (hef)
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Embed Plate Size
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Plate Thickness (min)
Design Capacities (φNn / φVn per ACI 318 Ch. 17)
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φNn — Tensile Capacity
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φVn — Shear Capacity
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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.
Estimated Installed Cost
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Material and installation cost estimate only. Does not include structural steel, welding, inspection, or engineering fees. Verify with local specialty contractors for accurate budgeting.
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).
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.
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.
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.
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)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
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)
0.142
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.
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 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.
Common Mistakes When Designing Anchor Bolts
⚠️
Using service loads instead of factored loads.
ACI 318 Chapter 17 is written entirely in the LRFD (factored load) framework. Plugging in service-level loads without applying the LRFD load factors will produce an embedment depth that is dangerously insufficient — you'll get an answer that appears to work but provides no real safety margin. Always use Nua and Vua from your LRFD load combinations.
📐
Ignoring edge distance and spacing reductions.
The CCD method includes ψed,N and ψec,N modification factors that reduce capacity when anchors are close to edges or closely spaced. Many quick calculations assume a single anchor with ample clearance — fine for preliminary sizing, but a baseplate close to a column flange or slab edge requires the full group/edge-distance analysis before finalizing hef.
🔩
Specifying J-bolts for high-tension connections.
Hooked (J-bolt or L-bolt) anchors resist tension through hook bearing against concrete, which is limited to much lower values than a headed anchor's mechanical interlock. ACI 318 §17.6.5.1 caps the design hook capacity at 16·λ·√f'c·Abrg. For any significant tensile load, cast-in headed anchors or welded plate anchors are the correct choice.
📦
Forgetting to design the embed plate.
The anchor bolt is only half the connection — the embed plate transfers the column force into the concrete through bearing and shear at the plate-to-concrete interface. An undersized or too-thin plate will yield or bend before reaching the bolt's design capacity. Size the plate for the full factored load in both bending and shear, and add stiffeners for heavy moment connections.
📅
Setting anchors before coordinating with steel fabricator.
Anchor bolt groups in foundation concrete must match the baseplate hole pattern exactly. The slightest misalignment — common when bolts are set without a template — can require field cutting of oversized holes, which compromises the connection. Always use a steel template (or a piece of the actual baseplate) to hold bolt groups in position before concrete placement.
Frequently Asked Questions
ACI 318-19 §17.9.5 sets absolute minimum embedment depths based on anchor type: cast-in headed bolts require hef ≥ 4da (4 times nominal bolt diameter), and hooked bolts require hef ≥ 3da. However, the formula-based embedment from the concrete breakout equation (back-solving Nb ≥ Nua/φ) typically governs and produces a larger value. Always take the greater of the code minimums and the formula-required value. A ¾″ bolt minimum absolute is 3 inches, but a loaded ¾″ bolt in a column base often requires 7–10 inches or more depending on applied load and concrete strength.
Cast-in anchors (headed bolts, J-bolts, L-bolts, headed studs) are placed in the formwork before concrete is poured and become mechanically locked in place as the concrete cures around the head or hook. They typically achieve higher concrete breakout capacity because the head provides direct bearing. Post-installed anchors are placed in holes drilled after the concrete has hardened, using either adhesive/chemical grout (epoxy, vinylester) or mechanical expansion. Post-installed anchors are more flexible for retrofit work but require stricter installation procedures, are sensitive to temperature and moisture (for adhesives), and generally require a lower breakout coefficient (kc = 17 vs. 24) unless qualified per ACI 355.4.
Embed plate sizing follows AISC Design Guide 1 (Column Base Plates). The plate must be large enough to (1) accommodate the bolt group with proper edge distances, (2) distribute bearing stress to the concrete within allowable limits, and (3) resist bending from the column base moment. The minimum plate width is typically the column flange width plus 2–3 inches per side for weld clearance. Plate thickness is designed for bending — the column flange force creates a cantilever moment in the plate past the column profile. A minimum plate thickness of 0.5 × bolt diameter is a practical starting point for lightly loaded connections, but heavily loaded moment bases may require 1.5–3″ thick plates with stiffeners.
Concrete breakout capacity (Ncbg) is the load at which the anchor pulls out a cone of concrete — a roughly 35-degree cone radiating from the embedded head to the concrete surface. It is the most common governing failure mode for anchor bolts in tension, especially in lower-strength concrete or with shorter embedment depths. The basic single-anchor breakout capacity is Nb = kc × λ × √f'c × hef^1.5. The breakout capacity increases as hef^1.5, so doubling the embedment depth gives roughly 2.8 times more breakout capacity. Steel fracture capacity increases with bolt area, so in high-f'c concrete with large bolts, steel fracture may govern instead — that is generally the preferred ductile failure mode.
ACI 318-19 §17.9.4 requires a minimum edge distance of 6 times the nominal bolt diameter (ca,min = 6da) for cast-in anchors without special cover requirements. For a ¾″ bolt, that's 4.5 inches from the bolt centerline to the concrete edge. When edge distance is less than 6da, the breakout capacity must be modified using the ψed,N factor (edge distance modification), which can significantly reduce the effective anchor capacity. In seismic design categories C, D, E, and F, additional edge distance requirements apply. Anchors within 1.5 × hef of an edge are also at risk for side-face blowout failure, which requires separate calculation per §17.6.4.
No. ACI 318-19 §17.2.3.1 explicitly prohibits the use of mechanical expansion anchors and undercut anchors for sustained tensile loads — they are only permitted for overhead applications or sustained loads when classified as a special (undercut) anchor with documented test data. Mechanical expansion anchors (wedge anchors, sleeve anchors) can creep under sustained tension, gradually losing clamping force and capacity. For sustained tension, you must use cast-in headed anchors or qualified adhesive (chemical) anchors with approved test data under ACI 355.4. This restriction applies regardless of how the anchor is sized or what the published manufacturer capacity tables show.
ASTM F1554 is the standard specification for headed anchor bolts used in structural steel construction. It has three grades: Grade 36 (Fy = 36 ksi, weldable, not heat-treated), Grade 55 (Fy = 55 ksi, weldable on request), and Grade 105 (Fy = 105 ksi, not weldable). Grade 36 is used when the bolts must be field-welded to templates or shear plates. Grade 105 is the most common specification for high-capacity column bases because it provides the most tensile capacity per bolt cross-section area. Do not attempt to weld Grade 105 — the high carbon equivalent makes it susceptible to hydrogen cracking under weld thermal cycles. If a weldable high-strength option is needed, use Grade 55 with the weldability supplement.
When anchors are spaced closely (within 3 × hef of each other), their concrete breakout cones overlap, reducing the total group breakout capacity below the sum of individual capacities. ACI 318 handles this with the ANc / ANco ratio — the projected area of the actual group's breakout cone divided by the projected area of a single anchor's idealized cone. Two ¾″ bolts spaced 6 inches apart on a 10″ embedment do not develop twice the single-anchor breakout capacity; the overlapping cones mean the group capacity may be only 1.4–1.6 times the single-anchor value. Steel tensile capacity (φNsa) does add directly: two bolts deliver twice the steel capacity. This is why groups at close spacing are not proportionally stronger in concrete breakout — spacing anchors farther apart (ideally > 3 × hef) eliminates cone overlap and maximizes group efficiency.
For structural connections — column bases, equipment anchorage, overhead supports, seismic anchorage — yes, a licensed structural engineer is required in virtually all US jurisdictions under the International Building Code. Anchor bolt design for code-regulated structures must be sealed by a licensed professional engineer. This calculator is intended as a preliminary sizing tool and educational resource. The interaction of all failure modes (steel fracture, concrete breakout, pullout, side-face blowout, pryout) and seismic ductility requirements per ACI 318 Chapter 17 require engineering judgment that goes beyond any online tool.
When an anchor is subjected to both tension and shear simultaneously, ACI 318 §17.8.3 requires a combined interaction check. If Nua exceeds 20% of the tensile capacity (φNn) AND Vua exceeds 20% of the shear capacity (φVn), the interaction must satisfy: Nua/(φNn) + Vua/(φVn) ≤ 1.2. The capacity used (φNn and φVn) must be the lowest applicable capacity from all failure modes — including concrete breakout, steel strength, and pullout. In practice this means a bolt carrying both a significant uplift load and lateral wind shear needs careful sizing; each load individually might be within capacity, but combined they can exceed the limit. Shear lugs welded to the baseplate are often added to transfer shear directly to concrete, freeing the anchor bolts to resist tension only.
The people behind this calculator
Rachel Sousa · Writer
B.S. Civil Engineering, Purdue University. 10+ years turning construction and engineering standards into clear, usable calculator documentation; former documentation lead at a national ready-mix supplier.
Licensed Professional Engineer (Civil/Structural), M.S. Structural Engineering, Texas A&M University. 18 years across commercial, municipal, and residential concrete. Reviews every structural calculator against ACI 318, ACI 332, and ASCE 7.