Page 290 - Introduction to Continuum Mechanics

274 Pure Bending of a Beam

Fig. 5.15

The greatest value will be at the boundary, i.e., x$ = 10" m. To obtain a numerical answe
we have

and the greatest stresses are

Example 5.15.2

For the beam of Example 5.15.1, if the right end couple is M = 7000 (62 + C3)Nm and the
left end couple is equal and opposite, find the maximum normal stress.
Solution. We have

2 1
The maximum normal stress occurs at-x/j = -7.5x 10 m and x$ = 10 m with