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Queensferry

Module 07

Finite-element building blocks

Freedoms, elements, restraints, releases and offsets — the five things you actually set, and what each one does to the answer.

What this module covers

  • Count the degrees of freedom a model has and say what each one means
  • Choose an element family from the outputs the question needs
  • Predict what a joint between two families will and will not transfer
  • Distinguish a restraint from a release, and say which belongs where
  • Compute what an end release does to the moments and the deflection
  • Explain why a rigid offset adds exactly V·e to the supporting member

Lessons

  1. What a degree of freedom is, what each element family carries, and what happens where two families meet.

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  2. How the model is held to the world, and what happens inside it — with the moments and deflections for every case.

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  3. The rigid arm between a node and the member it actually connects to, and the moment it carries.

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Module checkpoint

Check what you have taken in

3 questions

  1. Question 1

    Why does a beam connected to a solid mesh at one node transfer no moment?

  2. Question 2

    A 10 m span carries 15 kN/m. What is the midspan moment if both ends are fully fixed?

  3. Question 3

    A beam's end shear is 64.89 kN and it frames into a column at an eccentricity of 0.30 m. The beam's own end moment is 44.99 kN·m. What moment does the column top see?