Cantilever Beams
Cantilever beam is a type of beams that one end of the beam is fixed and the other end is completely free. Therefore, the fixed end should be able to bear the rest of the load of the beam itself. In that case, supported end must be stiff and rigidly fixed. Though this is not a structurally proficient method, it is being used In order to achieve some purposes in certain construction. Ex: improve the space requirement & quality, the aesthetic of the buildings, etc.
Maximum Bending Moment
I am going to explain the maximum bending moment theory with an example situation. Assume that the part of a balcony design is supported by cantilever beam that is carrying a “w” uniformly distributed load per unit. Length of the cantilever beam is “L”.
Now we will consider a point on the beam (c) where the vertical displacement is “x” from the free end of the beam (B).
Let’s take the momentum force (M) around the point “C” considering the section “CB”.
Hence, Mmax where the x = L
Mmax = -wL2/2
You can draw the graph for the maximum bending moment. We can consider the above equation as y = mx2
where, y = M, m = -(w/2), and x = L
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