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Queensferry

Module 08

Modelling structural systems

Trusses, frames, floors and cores — the usual model for each, its usual failure, and the hand check that catches it.

What this module covers

  • Say what the pin-jointed truss idealisation gets right and what it omits
  • Sweep a connection from pinned to rigid and locate where the change actually happens
  • Compare four models of the same floor panel against an exact plate solution
  • Decide when a core needs more than a stick model
  • Name the hand calculation that validates each system
  • Recognise a peak that is a singularity rather than a result

Lessons

  1. What the pin-jointed idealisation omits, and where a connection stops being pinned.

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  2. Four models of one floor panel against the exact answer — and when a core needs more than a stick.

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  3. One hand check per system — the only kind that actually gets done.

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Module checkpoint

Check what you have taken in

3 questions

  1. Question 1

    A shell model of a flat slab reports a moment over a column that doubles each time the mesh is halved. What should be done?

  2. Question 2

    A portal's eaves moment is 135.8 kN·m and its beam carries 15 kN/m over 12 m. What is the midspan sagging moment?

  3. Question 3

    A 5 m × 5 m panel is modelled as a one-way strip, giving 31.25 kN·m/m against an exact 11.05. If the reinforcement is proportional to moment, by what factor is the short-direction steel over-provided?