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Queensferry

Module 06

Arches

The cable turned upside down: carrying load in compression, and why the shape decides whether bending appears.

What this module covers

  • Explain the cable–arch analogy and why inversion turns tension into compression
  • Define a funicular (linear) arch and say why it carries no bending
  • Find the reactions of a three-pinned arch using the crown hinge
  • Calculate normal force, shear and bending moment at an arch section
  • Explain why a real arch develops bending when the loading changes

Lessons

  1. Why an arch is an upside-down cable, and what a funicular shape means.

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  2. Using the crown hinge to make an arch determinate, and finding the internal actions.

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Module checkpoint

Check what you have taken in

3 questions

  1. Question 1

    A three-pinned parabolic arch spans 24.0 m with a rise of 6.0 m under a uniform load of 10 kN/m. What is the horizontal thrust in kN?

  2. Question 2

    What does 'funicular' mean?

  3. Question 3

    In the beam analogy March = Mbeam − Hy, what does the term Hy represent?