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The deflection, at the free end B, of a cantilevered beam under a uniform load is given by:
Uniform load of intensity acts on BC.
Under the influence of a uniform load (such as a horizontal suspended deck), the otherwise hyperbolic cable is deformed toward a parabola.
The idea is that the short, fat powder column gives a more uniform load density and ignition rate and therefore a more consistent burn.
In high-rise buildings, mat-slab foundations can be several meters thick, with extensive reinforcing to ensure relatively uniform load transfer.
The elastic deflection (at the midpoint C) on a beam supported by two simple supports, under a uniform load (as pictured) is given by:
For a more realistic situation, such as a uniform load of 1kN and an EI value of 5,000 kN per square meter, the displacement would be approximately 1 cm.
