Page 273 - Introduction to Continuum Mechanics
P. 273
The Elastic Solid 257
Solution. The maximum normal stress is
The maximum shearing stress is
and the total elongation is
The diameter will contract by an amount
Example 5.12.2
Fig. 5.7
A composite bar, formed by welding two slender bars of equal length and equal cross-sec-
tional area, is loaded by an axial force P as shown in Fig. 5.7. If Young's moduli of the two
portions are E^' and E}?\ find how the applied force is distributed between the two halves.
Solution. Taking the whole bar as a free body, the equation of static equilibrium requires
that
