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Calcimator

Bridge Load Rating Calculator

Calculate bridge load rating factor using LRFR methodology. Determines if a bridge passes HL-93 design loading and whether posting is required.

About this calculator

This calculator applies the AASHTO Load and Resistance Factor Rating (LRFR) equation, from Section 6 of AASHTO's Manual for Bridge Evaluation, to determine whether an existing bridge member can safely carry a given load: Rating Factor = (C − γD·D) / (γL·L·(1+IM)), where C is the member's nominal capacity, D and L are the unfactored dead and live load effects, γD and γL are the dead and live load factors, and (1+IM) is the dynamic load allowance accounting for the bounce and vibration of a moving vehicle (1.33 for the standard HL-93 design truck, versus a smaller 1.15 for fatigue checks). A rating factor at or above 1.0 means the member has enough reserve capacity to carry the rating vehicle at that limit state; below 1.0 triggers a load posting restricting heavier vehicles. This calculator computes the more conservative Inventory rating (using γD=1.25, γL=1.75) as the primary result, then separately computes the Operating rating with reduced factors (γD=1.25, γL=1.35) representing the maximum load a bridge can occasionally carry rather than sustain routinely — operating rating factors are always higher, or equal, since they're less conservative.

The reported "Rating (Tons)" multiplies the inventory rating factor by the 36-ton HL-93 design truck weight to express capacity in familiar tonnage terms. This is a single-member, single-limit-state check: real bridge rating requires evaluating every controlling member (moment, shear, multiple girders) across HL-93 and permit-vehicle loadings, and factors must reflect the specific analysis method, condition, and system factors from the current AASHTO Manual for Bridge Evaluation.

Inputs

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kip
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Results

Rating Factor (RF)

1.34

Rating (Tons)

48.35 tons

≈ 8 elephants

Passes HL-93

1

Posting Required0
Operating Rating Factor1.74
Available Capacity312.5 kip

Figures current as of 2022. Source: AASHTO, Manual for Bridge Evaluation (MBE), 3rd Edition with 2020/2022 Interim Revisions, Section 6: Load Rating

How to Use This Calculator
  1. Enter member capacity (C), dead load effect (D), live load effect (L), and dynamic load allowance.
  2. Set dead load factor and live load factor per AASHTO LRFD.
  3. Review the load rating factor — values ≥ 1.0 indicate the bridge passes for the design load.

How the result changes with Member Capacity (C)

Member Capacity (C)Rating Factor (RF)Rating (Tons)Passes HL-93
2500.279.68 tons0
3750.8129.02 tons0
7502.4287.01 tons1
1,2504.57164.34 tons1

What each input means

Member Capacity (C)
Nominal capacity of the controlling member (moment or shear) in kips.
Dead Load Effect (D)
Unfactored dead load effect on the controlling member from self-weight, wearing surface, and attachments.
Live Load Effect (L)
Unfactored live load effect from the rating vehicle (HL-93 or permit truck) on the controlling member.
Dynamic Load Allowance (1+IM)
Dynamic impact factor applied to live load. Standard HL-93 uses 1.33 (33% impact). Fatigue uses 1.15.
Dead Load Factor (γ_D)
LRFD dead load factor. Inventory level = 1.25; strength limit state default.
Live Load Factor (γ_L)
LRFD live load factor. Inventory level = 1.75; operating level = 1.35; permit = 1.15-1.30.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Member Capacity (C) = 500, Dead Load Effect (D) = 150, Live Load Effect (L) = 100, Dynamic Load Allowance (1+IM) = 1.33 = 6 input(s) provided
  2. Calculate Rating Factor
    Rating Factor
    1.343 = 1.343
  3. Calculate Rating
    Rating
    48.35 = 48.35
  4. Calculate Passes HL-93
    Passes HL-93
    1 = 1
  5. Calculate Posting Required
    Posting Required
    0 = 0
  6. Calculate Operating Rating Factor
    Operating Rating Factor
    1.74 = 1.74

Figures and sources

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

What's the difference between the Inventory and Operating rating factors?

Inventory rating uses more conservative load factors (γD=1.25, γL=1.75) and represents the load level a bridge can carry indefinitely without shortening its service life — this is the calculator's primary result. Operating rating uses reduced factors (γD=1.25, γL=1.35) and represents the maximum load the bridge can occasionally carry safely, so it's always equal to or higher than the Inventory rating factor for the same bridge.

Why does a Rating Factor below 1.0 trigger a posting requirement?

A Rating Factor of 1.0 means the member's factored capacity exactly matches the factored load effect from the rating vehicle. Below 1.0, the applied loads exceed the safe factored capacity, so a load posting is required to keep heavier vehicles off the bridge until it's repaired, re-rated, or replaced.

Why does the Dynamic Load Allowance change the result, and why is fatigue's value lower?

The (1+IM) factor accounts for the extra dynamic effect of a moving vehicle bouncing across the deck — 1.33, or 33% impact, is used for the HL-93 design truck at the strength limit state, while fatigue checks use a lower 1.15 because fatigue analysis looks at many repeated, lower-intensity truck passages rather than a single peak dynamic event.

Does passing this calculation mean the whole bridge is safe?

No — this checks only the single controlling member and limit state you entered. A complete bridge rating evaluates every controlling member, moment and shear, across all girders, against HL-93 and any relevant permit-vehicle loadings per Section 6 (Load Rating) of AASHTO's Manual for Bridge Evaluation, 3rd Edition, so one passing result here doesn't certify the entire structure.

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