The application of the Dirac-delta function and the Heaviside function in the mechanics of beams

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15 Νοε 2013 (πριν από 3 χρόνια και 10 μήνες)

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The application of the Dirac
-
delta function and the Heaviside function in the mechanics of
beam
s

Author:
Katinka Harkai
, 3
rd

year

student

Supervisor:
Mgr. György Varjú

Institution: University of Novi Sad,
Faculty of Civil Engineering, Subotica

In the first

part of my work I introduce the characteristics of the Dirac delta function and
the Heaviside function.

In the
next part

I deal with the potential of applying these functions in the mechanics of
beams
s. With

the help of the Heaviside function and its der
ivate, the Dirac delta function we can
get the equation of the beam loading and
draw
the diagrams of the beam loading using the
known
incremental

relation among the function
of loading
, the function of transversal force and
the function
of
moment
.

The dia
grams we get in this way are very easy to understand
which i
s proven by
the
detailed solving of the two examples in my work.

Keywords: Dirac delta function, derivation, diagrams of the beam loading