Phase 7 · Pass the examination
Design calculations in the exam
Which elements to design, how far to check each, and how to keep a calculation package legible under time pressure.
Who this is for:Candidates at any stage
You choose which members are principal structural elements, and you choose how far to check each one. Both choices are being marked.
What the calculations section asks
Institution of Structural Engineers
- Prepare sufficient design calculations to establish the form, size and approximate A1–A3 carbon footprints of all the principal structural elements including the foundations.
- It is for the candidate to decide which members are principal structural elements — as a guide, expect to design between five and seven, depending on the question.
- For most members, checks of bending and shear alongside a span/depth deflection check will be adequate; extra marks are available for recognising when an additional check is appropriate, such as web buckling of a steel beam under a concentrated load.
- Calculations may follow any current recognised national code of practice. State clearly which codes you use and any reasonable assumptions, such as loadings other than those specified.
- Design guides must not be the primary source of member sizing, but may justify the actual sizing once the design parameters are established. Note where guides or manufacturers' literature are used.
- Assess and check worst-case load combinations. There is no requirement to include multiple load cases, and repetitive and simple calculations are not required.
- All calculations should be clear and easy to follow.
- Section 2c — design calculations and carbon
- 22marksForm, size and approximate A1–A3 carbon for all principal structural elements.
- Section 2c — design calculations and carbon
- 30marks
- Principal structural elements to design
- Five to sevenA guide, not a rule — it depends on the question and the scheme.
From Exam Guidance and Instructions — Chartered Membership Examination, Institution of Structural Engineers.
Choosing the five to seven
The instructions give the likely candidates. For building structures: main members in trusses, portal frames and arches; transition and transfer members and members with high point loads; cantilever members; vertical structures with high load concentration or significant out-of-balance moments; members of the stability system; foundations including piles, pile caps, reinforced rafts and pads, and balancing beams; retaining walls; and any special element unique to your scheme.
For bridge structures: the deck; the main deck support structure; the vertical structure; the stability system; and the foundations including piles, pile caps and reinforced pads.
Most schemes will not contain all of these. Choose the ones that are structurally decisive in your scheme — the members whose failure would matter and whose sizing drives the rest.
"Repetitive and simple calculations are not required"
This sentence is worth reading twice, because candidates routinely lose an hour ignoring it.
You do not need to design every beam. You do not need multiple load cases. You need the worst case, checked properly, for each principal element. A candidate who designs three typical floor beams at different spans has spent the time that should have gone into the transfer structure and the foundations.
Depth of checking is a judgement being marked
Bending, shear and a span/depth deflection check is the stated baseline for most members. The extra marks come from recognising where that baseline is not enough — and saying so.
Web buckling under a concentrated load is the example the instructions give. Others that commonly matter: lateral-torsional buckling of an unrestrained beam; punching shear at a flat-slab column; overturning and sliding of a retaining wall; uplift on a light structure; and local effects at a transfer.
You do not need to complete every additional check to earn the recognition. Naming it, saying why it governs here, and showing the check that matters is the mark-earning move.
Keeping it legible
The instruction is that calculations be clear and easy to follow, and that is a marking criterion in a section worth over a fifth of the paper.
- One element per page, headed with what it is and where it sits.
- State the loading and its source at the top, once.
- Show the load path down to the foundation, so a marker can follow it.
- Box the answer — size, grade, and the check that governed.
- State assumptions where you make them, not in a preamble nobody reads.
Working through the calculations section
- 01
List your principal structural elements first
Five to seven, chosen because they are structurally decisive in your scheme. Write the list down — it is both a plan and a statement to the marker that the choice was deliberate.
- 02
State loading and assumptions once, at the top
Including any loadings other than those specified in the question, and the codes you are working to. Doing it once saves repeating it and satisfies the instruction to state assumptions.
- 03
Take the load path down in order
Roof or deck, then floors, then the vertical structure, then the foundations. A marker following the load path can credit each step; a set of disconnected element checks is harder to follow.
- 04
Check the worst case properly, not every case lightly
Bending, shear and a span/depth deflection check for most members. No requirement for multiple load cases, and repetitive or simple calculations are not required.
- 05
Name the extra check where one governs
Web buckling under a point load, lateral-torsional buckling, punching shear, uplift, overturning. Say why it governs here — that recognition is where the additional marks are.
- 06
Add the carbon as you finish each element
Mass times embodied carbon factor, while the sizing is in front of you. Coming back to it at the end is slower and often gets dropped.
In the calculations
Worth doing
- Box the governing result for each element
- Head each page with the element and where it sits
- State the source of any design guide or manufacturer's data you use
- Keep one element per page so a marker can follow
- Include the foundations — they are named in the instructions
Avoid
- Design every beam in the building
- Run load cases the question does not need
- Use a design guide as your primary source of member sizing
- Leave assumptions unstated
- Let this section eat the drawing time
Related pages and tools
- Chartered examThe five sections, what each is worth, and what the examiners say they are looking for in each.
- Embodied carbonThe A1–A3 calculation the Institution asks for, where it appears in each paper, and how much depth is expected.
- FoundationsRequired in the calculations, required on the drawings, and the section candidates most often run out of time for.
- DrawingsWhat to draw, at what level of finish, and why proportion and dimensions matter more than scale.
- Planning the dayTurning marks into minutes, deciding when to commit to a scheme, and what to do when you fall behind.