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Queensferry

Module 04

Flexural behaviour and section analysis

The central calculation of reinforced concrete, built from three principles and nothing else — and an honest account of which parts a code decides.

What this module covers

  • Follow a section from zero load through cracking and yield to failure
  • Derive the moment of resistance from strain compatibility and equilibrium
  • Distinguish what is mechanics from what the stress block assumes
  • Design tension reinforcement for a rectangular section, and check the bars fit
  • Explain why compression reinforcement is added for ductility, not strength
  • Analyse a flanged section, and know when it stops behaving as one

Lessons

  1. Four distinct states, and the one the design calculation actually describes.

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  2. Three principles, no formula quoted — and a clear account of which step the code decides.

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  3. Running the derivation backwards — and the step that turns a number into a buildable beam.

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  4. What to do when the section is working too hard, and why a T-beam is usually easier than it looks.

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Module checkpoint

Check what you have taken in

5 questions

  1. Question 1

    A section has As = 1200 mm² with fyd = 434.8 N/mm², b = 250 mm and η fcd = 17.0 N/mm². What is the depth of the rectangular stress block, in mm?

  2. Question 2

    In the flexural derivation, which step is pure mechanics rather than a code choice?

  3. Question 3

    A beam has h = 600 mm, cover 35 mm, 10 mm links and 20 mm bars in one layer. What is the effective depth, in mm?

  4. Question 4

    Why does design limit the neutral-axis depth ratio x/d?

  5. Question 5

    For a T-beam with a 900 mm wide flange, a tension force of 500 kN and η fcd = 17.0 N/mm², what is the stress-block depth, in mm?