Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A test of a metal rod gives these readings.
| Strain | Stress (Pa) |
|---|---|
At a strain of the stress is . Find Young's modulus, and the stress Hooke's law would predict at . Is the rod still in its straight region there?
Hooke's law: within the proportional limit, stress is in proportion to strain. Past the elastic limit some stretch stays; at the ultimate strength the stress is greatest; the material breaks at the breaking point. A stiff material has a large modulus; a strong one has a large breaking stress.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Young's modulus. Every row gives , the value for aluminium.
Step 2. Prediction. .
Step 3. Compare. The real stress, , is far lower: the rod has yielded and is flowing.
Answer: ; Hooke's law would say ; the rod is well past its straight region.
Watch out. Use only the straight part of a stress-strain graph to find .
Log in to join the discussion.
Loading…