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Finite Element Analysis in Structural Mechanics

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Surface traction, edge traction, concentrated force, and body force

By Dr. Jiří Plešek

Problem description

The cantilever beam shown is subjected to uniformly distributed loading $l_y,$ $l_z$ per unit length and the end force $F_x,$ $F_y,$ $F_z.$ Calculate deflection and stresses for two load cases:
(a) the in-plane problem using $l_y,$ $F_x,$ $F_y$ only,
(b) the complete three-dimensional loading $l_y,$ $l_z,$ $F_x,$ $F_y,$ $F_z.$

Material properties

$E=2\times10^5\text{ MPa},$ $\nu=0.3.$


Clamped at $x=0.$ Statically determinate.


$l_y=-100\text{ N/m},$ $l_z=200\text{ N/m},$ $F_x=20000\text{ N},$ $F_y=-20\text{ N},$ $F_z=10\text{ N}.$


en/example/stat/3/start.txt · Last modified: 2022-02-11 14:25 by Petr Pařík