Page 289 - Introduction to Continuum Mechanics
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The Elastic Solid 273
the cross-sectional planes remain perpendicular to the neutral axis. This is a result of the
absence of shearing stress in pure bending.
Fig. 5.14
Example 5.15.1
Figure 5.15 shows the right end face of a rectangular beam of width 15 cm and height 20 cm.
The beam is subjected to pure bending couples at its ends. The right-hand couple is given as
M = 700QC2 Nm. Find the greatest normal and shearing stresses throughout the beam.
Solution. We have
and the remaining stress components vanish. Therefore, at any point
and
