An aluminium I-shaped extrusion is used as a shelf bracket

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Torsion and bending of rods and beams

Problem

An aluminium I-shaped extrusion is used as a shelf bracket, loaded so that it bends about its horizontal centroidal axis. The cross-section is symmetric top and bottom: overall depth

h = 60\,\mathrm{mm}

, each flange

40\,\mathrm{mm}

wide and

5\,\mathrm{mm}

thick, and a web

4\,\mathrm{mm}

thick connecting them. ((a)) Find the second moment of area

I

of this cross-section about its centroidal (horizontal) axis, using the parallel-axis theorem for the flanges. ((b)) At a point along the bracket where the bending moment is

150\,\mathrm{N\,m}

, find the peak bending stress in this cross-section.

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