Extreme-event foundations · Risk and performance

From Scenario to Performance Decision

Turn an extreme-event scenario into a traceable chain of loading, response, damage, consequence, and engineering action.

Approx. 36 min

Learning objectives

By the end of this lesson

  • Separate likelihood and consequence from structural resistance calculations.
  • Build a hazard–load–response–damage–consequence chain.
  • Define performance objectives before selecting analysis fidelity.
  • Use screening scores without confusing them with design acceptance criteria.

Before you calculate

What this means in the real world

01

What the formula is for

A simple matrix can help rank scenarios using agreed ordinal likelihood and consequence ratings. The multiplication is a prioritization device, not a physical law and not a structural safety equation.

S = L × C
02

Where an engineer uses it

Impact near an occupied entrance: The same barrier calculation can lead to different decisions when occupancy, stand-off, access control, and post-event function change.

Define the vehicle scenario, impact geometry, transferred action, barrier response, breach or debris criteria, and the consequence of loss of function.

03

What a wrong value can do

A wrong unit, sign, scale, boundary condition, or property can produce a believable number with the wrong physical meaning. It may understate demand, exaggerate it, or lead to the wrong failure check.

Definition

Performance objective

A clear statement of the condition or function a structure should maintain, or the damage it may tolerate, for a defined event scenario.

Why it mattersWithout an objective, a calculated displacement, force, or damage state has no agreed decision meaning.

Start with a scenario, not a formula

An extreme-event assessment begins by describing what may happen, where it may occur, what is exposed, and which consequences matter. The structural calculation occupies the middle of this chain. It translates an applied action into response and damage, but it does not independently define likelihood or acceptable consequence.

Formula

Illustrative risk-screening index

S = L × C

A simple matrix can help rank scenarios using agreed ordinal likelihood and consequence ratings. The multiplication is a prioritization device, not a physical law and not a structural safety equation.

L
illustrative likelihood category, defined by the project authority
C
illustrative consequence category, defined by the project authority
S
screening score used only for prioritization

Scenario chain experiment

Trace the scenario chain

Switch between impact and blast scenarios, then change illustrative likelihood and consequence ratings to see how analysis priority can change without altering structural capacity.

HazardVehicle impact
→
Applied loadContact force and impulse
→
ResponseLocal damage plus global movement
→
DecisionDetailed screening
Screening score8/25 · Detailed screening

This score demonstrates prioritization logic only. Project risk categories and acceptance criteria must come from the responsible authority.

The five links that must stay visible

Hazard describes the initiating event. Load describes what reaches the structure. Response describes motion, force, stress, or deformation. Damage describes the physical condition created by that response. Consequence describes effects on people, function, assets, and surrounding systems. Each transition has assumptions that should be recorded and tested.

01

Real-world application

Impact near an occupied entrance

The same barrier calculation can lead to different decisions when occupancy, stand-off, access control, and post-event function change.

Modelling move
Define the vehicle scenario, impact geometry, transferred action, barrier response, breach or debris criteria, and the consequence of loss of function.
Engineering question
Which uncertainty most strongly changes the required performance objective?
02

Real-world application

External blast near an essential facility

Structural survival alone may not preserve essential function if façades, utilities, equipment, or access routes fail.

Modelling move
Connect component response limits to system-level continuity and credible progressive consequences.
Engineering question
What must remain operational after the event, and what controlled damage is acceptable?

Editable formula question

Calculate an illustrative screening score

Choose project-defined example ratings and calculate their product. Use the result only to practise prioritization logic.

S = L × C
Substitute your current valuesS = 2 × 4Answer format: enter the numerical result only (no unit for this dimensionless result). Example: 12, not “answer = 12”.
—
Round only at the final step. The accepted tolerance for this exercise is ±0.01.

The displayed minimum, maximum, and textbook values define this learning exercise only. They are not universal design limits.