Fall-protection anchorage

The anchorage of a personal fall arrest system:

  • the anchor device;
  • the bolts that fix its post or bracket to the host;
  • the host member in bending.

It is checked for two forces:

  • ASCE/SEI 7-22 4.6.5: a live load of 3,100 lb for each attached line, in any direction, factored by the load combinations.
  • OSHA: 29 CFR 1926.502(d)(15) for construction or 1910.140(c)(13) for general industry. Either 5,000 lb per person attached, or twice the system's maximum arrest force under a qualified person. ANSI/ASSP Z359.6 is offered as an option.

An end anchorage of a horizontal lifeline takes the line tension. Commentary C4.6.5 explains the link between the two: 1.6 × 3,100 lb = 4,960 lb, which matches OSHA's 5,000 lb.

Inputs of the fall-protection anchorage

  • OSHA standard: construction (1926.502) or general industry (1910.140).
  • Persons attached: one line each (4.6.5).
  • OSHA basis: one of
    • 5,000 lb per person;
    • qualified person, a safety factor of 2 on the maximum arrest force;
    • the ANSI/ASSP Z359.6 engineered system, 2 × the maximum arrest force.

    For the last two, enter the maximum arrest force from the system's manufacturer (OSHA limits it to 1,800 lb with a body harness).

  • OSHA strength compared with: the available strength (φRn or Rn/Ω), as C4.6.5 relates the two rules. This is the default. The other choice is the nominal strength ("without failure"). This is your judgment.
  • System: a single anchorage, or the end anchorage of a horizontal lifeline. For a lifeline, enter its span and the sag at arrest from the lifeline manufacturer. The arrest load acts at midspan and T = P / (2 sin θ).
  • Anchor and connection:
    • The device's rated (ultimate) strength.
    • The attachment height e above the host.
    • The base bolts: count, grade, diameter, threads.
    • The lever arm from the compression edge to the tension bolts. Half the bolts are in tension.
  • Host member: a simple span with the anchor at a distance a, its nominal flexural strength Mn (from its own calculation), and the dead load moment at the anchor.

Auto-design varies the bolt count (2 to 8) and diameter (1/2 to 1-1/4 in.) for the least bolt area. The persons, the arrest basis, the device, the height, the lever arm and the host are kept.

Checks performed

CheckBasis
Anchorage forces3,100 lb per line (4.6.5), × 1.6 (2.3.1) or 1.0 (2.4.1); OSHA force unfactored; lifeline tension P / (2 sin θ)
Anchor deviceRated strength ≥ max(OSHA force, 1.6 × 3,100 lb per line)
Bolt tensionHorizontal pull F e / (nt d) or vertical pull F / n; F'nt by Eq. J3-3a / J3-3b; Rn = F'nt Ab (AISC 360-22 J3.6, J3.7)
Bolt shearF / n against Fnv Ab (J3.6)
Host bending1.2 MD + 1.6 M(L) (or MD + M(L)) and MD + M(OSHA) against φMn or Mn/Ω (φ 0.90, Ω 1.67)
Horizontal lifelineAdvisory: OSHA requires a qualified person's design (1926.502(d)(8))

The drawings show the anchor elevation and, for a lifeline, its schematic with the end tension.

Limitations

  • Written from knowledge. The OSHA sections and ANSI/ASSP Z359.6 are written from knowledge (to confirm against the code text). The regulations are free at osha.gov and are listed in research/DOCUMENTS_NEEDED.md. ASCE 7-22 4.6.5 and C4.6.5 are read.
  • Not designed here. Prying of the base plate, the plate itself, welds, the post or bracket, fall clearance, swing fall and rescue.
  • Host member. The host is checked in bending only, as a simple span. Lifeline hosts are designed in their own calculation.

Verification examples

Verification status: 17 values compared in 3 examples (0 published, 3 hand calculations from the cited equations): 17 within tolerance, 0 recorded deviations. No published example: every value is a hand calculation. That checks the program against this reading of the code, not the reading itself. Code basis: the provisions it uses were read in the target edition.

No published worked example is on disk. Hand calculations check:

  • The 4.6.5 and OSHA forces.
  • The factored ASCE force.
  • Bolt tension and shear with their AISC strengths, in LRFD and ASD.
  • The host moments.
  • The qualified-person force for two persons.
  • The lifeline angle and tension.