Every anchor failure in a real earthquake corresponds to one of the seven limit states in ACI 318-19 Chapter 17. Designing an anchor means sizing it so the lowest-capacity limit state has more capacity than the seismic demand. This article gives you the limit states in the order plan reviewers expect to see them, with the equation each one comes from and the reduction factors that catch engineers off-guard.
Limit state 1 — Steel strength in tension (Nsa)
ACI 318-19 §17.6.1: φNsa = φ · n · Ase,N · futa, with φ = 0.75 for ductile steel anchors. futa is capped at the lesser of 1.9 fya and 125,000 psi. Use the manufacturer's published net tensile area (Ase,N) and ultimate strength from the ESR.
Limit state 2 — Concrete breakout in tension (Ncbg)
§17.6.2: Ncbg = (ANc/ANco) · Ψec,N · Ψed,N · Ψc,N · Ψcp,N · Nb. The basic capacity Nb is a function of f'c and effective embedment hef with the kc coefficient (17 for cast-in or 24 for post-installed, when permitted in cracked vs uncracked — see cracked vs uncracked concrete).
Limit state 3 — Pullout (Npn)
§17.6.3: Npn = Ψc,P · Np. For post-installed expansion / undercut / screw / adhesive anchors, take Np directly from the ESR. For cast-in headed bolts, Np = 8 · Abrg · f'c. φ = 0.70 for cracked concrete.
Limit state 4 — Side-face blowout (Nsb)
§17.6.4: applies when ca1 < 0.4 hef for headed anchors deep in concrete. Catches engineers who set headed bolts too close to a free edge in a thick footing.
Limit state 5 — Steel strength in shear (Vsa)
§17.7.1: φVsa = φ · n · 0.6 · Ase,V · futa for cast-in-place; the 0.6 is replaced with the manufacturer's value from the ESR for post-installed. φ = 0.65 for ductile shear.
Limit state 6 — Concrete breakout in shear (Vcbg)
§17.7.2: a function of edge distance ca1, embedded anchor diameter, and concrete strength. The Ψed,V and Ψc,V reductions can be brutal — at ca1 = 1.5 da, the breakout capacity is a fraction of the steel capacity. See edge distance and spacing.
Limit state 7 — Pryout (Vcpg)
§17.7.3: Vcpg = kcp · Ncbg, with kcp = 1.0 for hef < 2.5 in. and 2.0 otherwise. Pryout often controls shallow anchors.
The §17.8 interaction — every pair must check
Per §17.8.3: Nua/φNn + Vua/φVn ≤ 1.2 for each pair (steel/steel, breakout/breakout, etc.). See our tension vs shear article.
Seismic amplifications — §17.10 (cross-referenced from ASCE 7-22 §13.4.2)
- Ω0p on concrete-controlled limit states unless an exception applies.
- 0.75 reduction on φNcbg, φVcbg, φNpn, φNsb per §17.10.6 (the seismic concrete capacity reduction).
- Adhesive anchors: must be qualified per ACI 355.4 with seismic certification per §17.10.5 (c).
- Anchor reinforcement per §17.5.2.1 can shift the limit state from concrete to steel.
Order of operations on a real calc
- Compute demand T and V per anchor (and the orthogonal direction).
- Compute every limit state capacity from the ESR or first principles.
- Apply Ω0p to concrete-controlled demands.
- Apply the 0.75 §17.10.6 factor to concrete capacities in seismic.
- Compute DCR for each pair via §17.8.
- Identify the governing limit state and report the DCR.
What the cover sheet should look like
- Anchor designation, embedment, edge distance, spacing.
- Concrete f'c, density, cracked/uncracked.
- Each limit state φ-capacity tabulated.
- Ω0p, the §17.10.5 exception (if any), and the 0.75 §17.10.6 factor.
- The §17.8 interaction DCR table with the governing row highlighted.
How PANACHE ENGINEERING handles this
Our Seismic Anchor Calculator evaluates every limit state in §17.6, §17.7, §17.8, and §17.10 on every run, and outputs a stamped DCR table with the governing row called out. Need a full PE/SE-stamped package? Send us your data.
