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Queensferry

Module 15

Single-storey buildings and portal frames

The first whole building. A portal frame is designed by a work equation, made economic by a haunch, and kept standing by stays that are on the drawing for one reason most people never learn.

What this module covers

  • Derive the three collapse mechanisms of a portal frame
  • Say which mechanism governs, and what decides it
  • Explain what a haunch buys and why it is the length it is
  • Say which flange is in compression along a rafter, and where
  • Explain why every portal has stays, and what they are worth
  • Say why a portal's stability is not a storey-drift calculation

Lessons

  1. A portal is one of the few structures designed directly by plastic collapse. Three mechanisms, three work equations, and the largest answer wins.

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  2. Near the eaves the purlins restrain the wrong flange. That single fact explains a detail on every portal frame drawing, and it is the one thing about them worth never forgetting.

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Module checkpoint

Check what you have taken in

8 questions

  1. Question 1

    A portal spans 24 m with w = 12 kN/m. What does the beam mechanism require, in kNm?

  2. Question 2

    That frame is 7 m to eaves with H = 60 kN and pinned bases. What does the combined mechanism require, in kNm?

  3. Question 3

    For a frame with H = 60 kN at h = 7 m, above what value of wL² does the combined mechanism govern over the sway one? Give wL² in kNm.

  4. Question 4

    A rafter hogs 400 kNm at the eaves and sags 150 kNm at the apex, over a 12 m length. How much of it has the inside flange in compression, in m?

  5. Question 5

    Three stays are placed within an 8.73 m unrestrained length. What is the segment length, in m?

  6. Question 6

    A 24 m rafter rises 2.0 m and carries 12 kN/m. What thrust does the arch analogy give, in kN?

  7. Question 7

    A portal frame's collapse load factor is λ = 1.6. What does that tell you?

  8. Question 8

    Why does this course refuse to give a portal frame an αcr from a sway calculation?