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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 Δr=1.0 mm\Delta r=1.0 \mathrm{~mm} and the radius of the tube and the flask equals r=25 mm?r=25 \mathrm{~mm} ?

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