All Problems

Elastic deformations

Problem 1.291

What internal pressure (in the absence of an external pressure) can be sustained (a) by a glass tube; (b) by a glass spherical flask, if in both cases the wall thickness is equal to \(\Delta r=1.0 \mathrm{~mm}\) and the radius of the tube and the flask equals \(r=25 \mathrm{~mm} ?\)

Reveal Answer
1.291. (a) \(p \approx \sigma_{m} \Delta r / r=20\) atm; (b) \(p \approx 2 \sigma_{m} \Delta r / r=40 \mathrm{~atm}\) Here \(\sigma_{m}\) is the glass strength.