Conclusion
In this exercise we have examined the static deformation of cantilevered,
simply supported, and doubly supported beams. We first learned about
centers of mass and centroids, moments of inertia for radially symmetric objects and planar symmetric objects, and boundary conditions. The center of
mass of an object is the point of balance of the system, or the point
around which the system will rotate. The centroid of an object is its
geometric center. The moment of inertia can be thought of as a
particle's resistance to angular accelleration.
We then looked more closely at the differential equations appropriate for
and the boundary conditions associated with cantilevered, simply
supported, and double supported beams. Finally, we derived the equations
that model the static deformation of each of these types of beams,
and used these equations to test how the beam would deflect under
different conditions in simulated experiments.
Index
Next: References
Up: Introduction
Previous: Doubly Supported Beams
Jennifer Powell<jpowell@geom.umn.edu>
Fati Liamidi<liamidi@geom.umn.edu>