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
Why an arch is an upside-down cable, and what a funicular shape means.
Start lesson →Using the crown hinge to make an arch determinate, and finding the internal actions.
Start lesson →
Module checkpoint
Check what you have taken in
3 questions
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?
Question 2
What does 'funicular' mean?
Question 3
In the beam analogy March = Mbeam − Hy, what does the term Hy represent?