18-08-2012, 12:35 PM
Axially loaded member
Lec4 Axially Loaded member.pdf (Size: 218.05 KB / Downloads: 38)
Saint-Venant’s Principle
Localized deformation occurs at
each end, and the deformations
decrease as measurements are taken
further away from the ends
• At section c-c, stress reaches
almost uniform value as compared to
a-a, b-b
• c-c is sufficiently far enough
away from P so that localized
deformation “vanishes”, i.e.,
minimum distance
•General rule: min. distance is at least equal
to largest dimension of loaded x-section. For
the bar, the min. distance is equal to width of
bar
•This behavior discovered by Barré de Saint-
Venant in 1855, this the name of the principle
•Saint-Venant Principle states that localized
effects caused by any load acting on the
body, will dissipate/smooth out within regions
that are sufficiently removed from location of
load
•Thus, no need to study stress distributions at
that points near application loads or support
reactions