Example: Determine the circular frequency of self oscillation of mass m installed in the
middle of a steel beam (Fig.). The rigidities of the sections are different, but constant along
their length.
Given: modulus of elasticity E = 200 GPa, axial moment of inertia of the beam cross section
I =63.82 cm4, beam length l =1m, P=1kN
The circular frequency of self oscillations is determined by the formula:
The static deflection is determined by multiplying the diagrams MP and M1
Considering: P=1kN; E=2·1011Pa;l=1m; I=63,82sm4
