Page 346 - Introduction to Continuum Mechanics

330 The Elastic Solid

so that

But,

where

therefore

or,

which leads to

The normal force on the end plane 6 = ±cb is given by (see Eq. (5.37.9) and (i))

A 1
Thus, at the end plane, there is a flexural couple. Let M denotes the flexural couple per unit
width, then

i.e.