A long steel hydraulic cylinder has bore radius and outer radius

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Hooke's law for an isotropic solid

Problem

A long steel hydraulic cylinder has bore radius

a = 15\,\mathrm{mm}

and outer radius

b = 45\,\mathrm{mm}

, and carries an internal pressure

p = 150\,\mathrm{MPa}

with zero pressure outside. Use Lamé's solution for a thick-walled cylinder to find the hoop stress

\sigma_{\theta\theta}

at the bore and at the outer surface.

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