Computational Engineering / Computation for low-carbon structural design
Where the carbon is, and when it is decided
The awkward shape of the problem: the biggest lever is pulled at the stage with the least information.
Lesson review: expert verification remains open
This lesson has received a full-context editorial review and a check of its technical explanations. Selected arithmetic has been checked separately. This is not independent engineering sign-off.
Checks needed for project use
- A computational engineering reviewer must check algorithms, convergence claims, statistical assumptions and numerical examples beyond the cases explicitly recorded.
- Verify quantity rates and factor set against current project-appropriate EPDs and whole-life methodology. Review biogenic carbon, exclusions, joint uncertainty, foundation effects and service integration before any project use.
These are educational models and exercises. Check their assumptions before using the results. The full technical content and every diagram have not yet been independently verified.
Concrete and steel calculations retain their stated first-generation Eurocode teaching basis. Use the standards and amendments specified for your project; do not mix generations without an appropriate design basis.
Read the lesson register and outstanding review notesWhy this matters
Structural choices affect a substantial part of a building’s embodied carbon. Form, grid, span and material are often settled early, when quantities and product specifications remain uncertain. A concept comparison can help the team understand those choices, provided its assumptions and limits are clear.
By the end of this lesson you should be able to
- Say which decisions move embodied carbon and when they are taken
- Explain why a rate-based comparison is the right precision at concept stage
- Distinguish the quantity from the factor
- State what a carbon figure needs beside the number
What you should already know
- Concept design and the shape of the decision (Module 2)
- Sensitivity, and ranking by swing rather than elasticity (Module 14)
Carbon = quantity × factor
Two terms, and an engineer's influence over them is very unequal.
The quantity — how many tonnes of what — follows from the form, the grid, the span, the depth and how efficiently the material is used. These decisions need coordination with the brief, architecture, services, construction strategy and procurement.
The factor — kilogrammes of CO₂e per tonne — follows from how the material was made: the recycled content, the production route, the cement replacement, the transport. Some of that is specifiable and much of it is a procurement decision taken later by someone else.
So the reliable lever is the quantity, and the quantity is set by decisions taken at concept stage.
Rate-based comparison
At concept stage there is no model to take quantities off. What there is: a floor area, a grid, a number of storeys, and experience of what schemes of that kind weigh.
A rate-based comparison uses that — kilogrammes per square metre of floor, by material, as a function of span — and it is the right precision for the stage. More precision would be false: the quantities are estimates, the factors are uncertain, and a figure to three significant figures would imply a confidence nobody has.
What it needs to be honest about is what it is for. It is for ranking options, not for reporting a building's carbon. Those are different jobs and the second needs a model and a take-off.
What a carbon figure needs beside it
A number on its own is not usable, and the course enforces this in the library: every result the carbon tool returns carries its provenance, so no interface can display the number without it.
Four things:
The scope. Cradle to gate, cradle to practical completion, whole life? These differ substantially and are routinely compared as though they did not.
The factors, with source and date. A factor without a source is not checkable, and factors move.
The quantities, and where they came from. A rate, a take-off, or a guess.
What is excluded. Foundations, substructure, the effect of a lighter frame on everything below it. A lighter frame may reduce foundation demand, but ground conditions, lateral actions and minimum dimensions can govern. Assess the substructure before assigning a saving.
The carbon factors built into this course's tool are illustrative teaching values. They have not been verified against a current published dataset. They illustrate the calculation method and do not establish which real project option is lowest-carbon. The tool says so on its own face, the currency register lists them as requiring verification, and no figure from them should be quoted outside the course.
Depth is a carbon quantity
The one most often missed. Structural depth does not appear in a frame's carbon total at all, and it drives:
- Building height — depth times the number of storeys. A 100 mm difference at each of twelve levels adds 1.2 m if clear heights and service allowances remain unchanged.
- Cladding area — which is expensive and carbon-intensive per square metre, often more so than the frame.
- Core and riser height, and everything vertical.
- Sometimes a planning limit, where the choice is a storey rather than a metre.
So a scheme comparison that ranks on frame carbon alone is answering a narrower question than the one being asked. Module 17's Pareto front used carbon and depth as the two axes for exactly this reason — and on those axes the composite steel frame turned out to be dominated by the concrete band beam.
Re-use, adaptability and standardisation
Three levers that no single-building calculation captures, and which are often larger than anything inside one:
Re-use. Retaining a suitable frame can avoid emissions from demolition and replacement. Its historic emissions have already occurred; retaining it does not reverse them. Compare repair, strengthening, replacement and whole-life consequences against the actual brief.
Adaptability. A structure that can be changed rather than demolished defers or avoids a future rebuild. It usually costs a little more now and the accounting rarely reaches far enough forward to see the return.
Standardisation. Fewer distinct components means less waste, less over-specification and simpler re-use later. It also costs a little structural efficiency, which is Module 15's trade appearing again in a different currency.
Check yourself
A scheme comparison reports frame carbon only, and the schemes differ in structural depth by 160 mm over eight storeys. What has been left out?
Practice
Two schemes differ in structural depth by 106 mm at each of six levels. With unchanged clear heights and service allowances, how much taller is the building with the deeper frame, in metres?
Worked example
Reading a carbon figure that has no provenance
Given
- A scheme comparison reports 447 tCO₂e for one option and 666 for another
- The factors behind them are not stated
Find
What can and cannot be concluded
Worked example
Why intensity and total tell different stories
Given
- Two schemes for the same total gross floor area of 8 000 m²: 447 tCO₂e and 866 tCO₂e
Find
The intensities, and what each figure is for
Check yourself
Why does structural mass rank schemes differently from carbon?
Check yourself
What does it mean that a carbon figure is marked 'requires verification'?
Summary
- Carbon = quantity × factor; the engineer's reliable lever is the quantity
- The quantity is set at concept stage, on the least information
- A rate-based comparison is the right precision for ranking options, not for reporting a building
- Scope, factors with a date, quantities and exclusions all belong with the number
- Structural depth is a carbon quantity, through height and cladding
- This course's factors are illustrative and unverified, and every result says so