Learn structural design

Worked examples to BS 8110-1:1997 · free, and checkable by hand

Seven worked examples covering the design of a small reinforced concrete building, in the order you would actually do them, with more examples, reference tables, what happens to the design on site, and practical guides after them. They are written for students and for engineers coming back to something they last did at university.

It is one building all the way through. The loads worked out on the first page become the slab on the second, the slab loads the beam on the third, the beam's reaction becomes the column on the fourth, that column's load sizes the footing on the fifth, and the last two design the stair and turn the whole lot into a bar bending schedule. Numbers carry across, so you can see where each one came from — and every one of them can be checked with a calculator.

1. Load takedown

Dead and imposed loads, the 1.4Gk + 1.6Qk combination, tributary areas, and carrying the load down a column to the foundation. Ends with 589 kN at the base of a three-storey interior column.

2. Slab design

One-way or two-way, and how to tell. A 150 mm slab that fails deflection by a hair, and the 160 mm slab that fixes it — which is the lesson: slabs are governed by stiffness, not strength.

3. Beam design

Moment, K and K', lever arm, steel area, shear stress and links, deflection. Includes the case students most often miss — where the code's minimum link provision beats the shear the beam actually has.

4. Column design

Effective height, the short/slender test, equations 38 and 39, steel limits and link spacing. Plus what changes when a column is slender, and the corner-column trap.

5. Pad footing design

Sizing on the service load and reinforcing on the ultimate one — the distinction that makes half of all footings the wrong size. Bending at the column face, vertical shear, punching shear, and the 1.8 m square that carries page one's 589 kN.

6. Staircase design

Risers and goings, the slope factor that turns a waist into a load on plan, and the 15% span/depth allowance a flight gets. Stairs are governed by deflection, and shear misses by a factor of three.

7. Bar bending schedules

Every column of a BS 8666 schedule explained, cutting lengths and shape codes, the d²/162 mass rule, and the beam from page three scheduled in full — 35.8 kg of steel.

More worked examples

Members and effects the seven above do not cover. Each stands on its own, and each says what it leaves out.

Reference tables

The lookups you need beside you while doing any of the above.

On site

What happens to the design after it leaves the desk. These decide whether the concrete standing there is the concrete the calculation assumed.

Guides

Not worked examples — the practical decisions around them.

Then run it yourself

Structura is the same calculation, done for you and shown the same way: formula, substituted values, and a PASS or FAIL on every check. Single members — slab, beam, column, footing, stair, lintel — are free to run, as many as you like, which is more than enough for coursework and for checking your own hand calculations.

It runs in the browser, so there is nothing to install.

Open Structura in your browser

On Android, get it on Google Play; on iPhone and iPad, get it on the App Store — same account as the browser.

A word of warning worth taking seriously: a tool that agrees with you is not the same as being right. Work the example by hand first, then run it — the disagreements are where the learning is.

About the engine behind it