Theory of Bending: When beams are subjected to
loads, bending stresses are set. The computation of this stress at a given
section of the beam is facilitated by means of bending theory due to M. H.
Navier. He postulated that under a uniform bending moment, initially plane and
parallel cross-sections remain plane during bending and converge on a common
centre of curvature. This can be visually demonstrated by drawing a square grid
on a rubber beam (Fig.7.l (a)) and then bending the beam (Fig.7.1 (b)).
Nevier's assumption has since been proved correct for all structural materials
by strain measurements on test beams under load (Fig. 7 .2); strain gages are
fixed at, say, each tenth of the depth of the beam, and the variation of strain
throughout the section is plotted as the beam is loaded.
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