lecture 20 (sfd and bmd)
TRANSCRIPT
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Shear Force Diagrams (SFD)and Equations
And
Bending Moment Diagrams (BMD) and Equations
In Beams
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Beams
Beam = a structural member designed to support loads applied perpendicular to the axis of the beam.
It is usually long in one direction ( axis of the beam ) compared with the other two directions.
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External forces Internal forces
All shown external and internal forces are positive.
Note that the axial (normal) force is usually ignored in beams. However, it does NOT affect V & M if it is considered.
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Before, we discussed how to determine the internal forces at specific points. Now we need to determine the internal forces at any point x ; that is we need to write V and M as functions of x.
V = f (x)M = f (x)
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Then we plot these functions.
(See the examples next.)
*Note that there are infinite number of points !
use X.
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