Engineering Reference

ASCE 7-22 Chapter 13: Seismic Anchorage & Anchor Bolt Design Guide

How the new Fp equation, Hf, Rμ, CAR, and Rpo factors change seismic anchorage, equipment anchorage, and anchor bolt design forces for mechanical, electrical, and architectural components — with worked anchor bolt calculation examples and the tables you'll actually use on a submittal.

ASCE/SEI 7-22 Chapter 13 is the controlling code provision for the seismic design of nonstructural components in the United States. Adopted by the 2024 IBC and the 2025 California Building Code (CBC), Chapter 13 governs every piece of architectural, mechanical, electrical, and plumbing (MEP) equipment that must be anchored, braced, or restrained against earthquake forces. Whether you are sizing post-installed anchors for a 5,000 lb chiller, designing seismic bracing for a hospital fire-water main, or preparing an HCAI/OSHPD seismic anchor calculation package, every number on your submittal traces back to Chapter 13.

1. Scope: what Chapter 13 covers

Chapter 13 applies to permanently attached nonstructural components, their supports, and their attachments to the structure. The scope explicitly includes:

  • Architectural components — partitions, ceilings, cladding, glass, parapets, signs.
  • Mechanical and electrical components — HVAC equipment, generators, transformers, pumps, switchgear, batteries.
  • Distribution systems — piping, ductwork, electrical conduit, cable tray, and busway.
  • Their supports (frames, skids, hangers, trapezes) and attachments (anchors, welds, bolts).

Chapter 13 does not cover non-building structures — those are governed by ASCE 7 Chapter 15. See our companion page on equipment anchorage design for the project-side workflow.

2. The new Fp equation (ASCE 7-22 Eq. 13.3-1)

The biggest change from ASCE 7-16 is the structure of the horizontal seismic design force. The familiar 0.4 ap SDS Wp (1+2z/h) / (Rp/Ip) equation has been replaced with one that explicitly captures the building's lateral system and the component's dynamic behavior:

Fp = 0.4 · SDS · Ip · Wp · (Hf / Rμ) · (CAR / Rpo)
ASCE 7-22, Eq. 13.3-1

The upper and lower bounds carry over unchanged:

Fp,max = 1.6 · SDS · Ip · Wp   |   Fp,min = 0.3 · SDS · Ip · Wp

2.1 Hf — height amplification factor

Hf replaces the old (1 + 2z/h) term and accounts more accurately for floor acceleration up the building height. It is calculated from the building's approximate fundamental period Ta per Eq. 13.3-4. For most rigid podium-mounted equipment near grade, Hf ≈ 1.0; at the roof of a tall flexible building it can exceed 2.5. This is the term that punishes upper-floor MEP installations.If you need a fast pre-design check for SDS, Ip, z/h, and Chapter 13 table selections, use our SDS, Ip & z/h calculator.

2.2 Rμ — structure ductility reduction factor

Rμ is tied to the host building's Seismic Force-Resisting System (SFRS) per Table 13.3-1. Stiffer, less ductile systems push Rμ toward 1.0 (forces go up); ductile special moment frames go to ~1.5 (forces come down). This is why the same chiller on the same floor of two buildings with different SFRS yields two different Fp values — and why an OPM/OSP capacity table indexed only by SDS and z/h is no longer sufficient under ASCE 7-22.

2.3 CAR — component resonance amplification

CAR captures how the component itself responds to floor motion. It comes from Tables 13.5-1 (architectural) and 13.6-1 (mechanical and electrical). Rigid components have CAR = 1.0; flexible components (long pipe runs, slender stacks, tall cable trays) carry coefficients up to 4.0.

2.4 Rpo — component over-strength factor

Rpo replaces the lumped Rp from ASCE 7-16. It separates the component's strength from its over-strength so that anchorage to concrete (which by ACI 318 Chapter 17 is designed for amplified forces) can be sized rationally. For most mechanical and electrical equipment Rpo = 1.5.

3. The Importance Factor Ip

Per ASCE 7-22 §13.1.3, Ip = 1.5 if any of the following apply:

  • The component is required to function for life-safety after the earthquake (fire pumps, smoke control, emergency power).
  • The component contains hazardous materials in excess of code thresholds.
  • The component is in or attached to a Risk Category IV structure (hospitals, fire stations, EOCs) and is needed for continued operation.

Otherwise Ip = 1.0. The factor scales Fp, Fp,min, and Fp,max linearly.

4. Vertical seismic force Fv

Per §13.3.1.2:

Fv = ±0.2 · SDS · Wp

Fv combines with Fp using the load combinations of Chapter 2 (with E = ρFp + 0.2SDSD acting up or down). For overturning of unanchored floor-mounted equipment, the up-acting case usually controls.

5. Anchorage in concrete and masonry — §13.4

Anchors to concrete are designed per ACI 318 Chapter 17. Section 13.4.2 requires anchor design forces to be amplified by the over-strength factor Ω0 when:

  • The anchor governs over a ductile yield mechanism in the attached part, AND
  • Concrete breakout, side-face blowout, or pryout governs the anchor capacity.

In practice, this means most post-installed anchors in seismic design categories C–F must be sized with Ω0 · Fp for the concrete-controlled limit states. See our worked anchor bolt design examples.

6. Component, support, and attachment — three checks, not one

ASCE 7-22 keeps the three-element decomposition: every nonstructural installation breaks down into a component (the equipment), a support (the frame, skid, or bracket), and an attachment (anchors, welds, bolts). All three must independently satisfy Fp. A signed seismic anchor calculation package shows three checks per component — not one. See the diagram and explanation on our Seismic Anchor Calculations page.

7. Distribution systems — §13.6.5, 13.6.6, 13.6.7

Piping, ductwork, conduit, and cable tray have their own bracing rules with size-based exceptions:

  • Piping: bracing required for high-deformability pipes ≥ 1″ NPS in Ip=1.5 systems and ≥ 2½″ NPS otherwise (with exceptions per §13.6.5.1).
  • Ductwork: bracing required for ducts larger than 6 ft² cross-section, with hanger and trapeze rules per SMACNA seismic guidelines.
  • Conduit and cable tray: bracing per §13.6.6 / §13.6.7 with exceptions for trapeze weights below threshold.

8. Designated seismic systems — §13.2.2

Active mechanical and electrical components with Ip = 1.5 are Designated Seismic Systems and require a Certificate of Compliance proving post-earthquake operability. Per §13.2.2 this can only be obtained by approved shake table testing or qualified experience data — analysis alone is not sufficient.

9. Practical workflow for a Chapter 13 submittal

  1. Establish SDS, Risk Category, and SFRS from the project structural drawings.
  2. Compute Hf using building period Ta (Eq. 13.3-4) and component elevation z.
  3. Look up Rμ from Table 13.3-1 based on the SFRS.
  4. Determine CAR, Rpo, and Ω0p from Tables 13.5-1 / 13.6-1 by component type.
  5. Set Ip per §13.1.3.
  6. Compute Fp, then check against Fp,max and Fp,min.
  7. Compute Fv and combine per the governing load combinations.
  8. Design the component, support, and attachment for the resulting demand — applying Ω0 to anchorage in concrete where §13.4.2 applies.
  9. For Ip=1.5 active equipment, attach the OSP/OPM Certificate of Compliance or commission shake table testing.

10. Common Chapter 13 mistakes

  • Using ASCE 7-16 ap/Rp values on a 2025 CBC project — the tables are entirely different.
  • Ignoring SFRS and assuming Rμ = 1.5 for all buildings.
  • Forgetting Ω0 on concrete-controlled anchor checks.
  • Treating active Ip=1.5 equipment as analytically certifiable instead of pursuing an OSP.
  • Designing only the anchor and skipping the support frame check.
  • Missing the Fp,min floor — small components often govern at the minimum.

Need a stamped Chapter 13 calculation? PANACHE ENGINEERING delivers PE/SE-stamped seismic anchor calculations for any nonstructural component, support, or attachment under ASCE 7-22 and the 2025 CBC. Use our equipment anchorage workflow, browse anchor bolt examples, or contact an engineer.

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