Question

During a construction project an object falls from the roof and strikes a cantilevered beam very near its free end resulting in a step load being applied to the beam The resulting oscillation of the beam produces the amplitudes at associated times for each listed in the data table. Determine the natural frequency and the damping ratio governing the oscillations. The ringing frequency of the beam is given in the table Amplitudes from step load Aone Atwo Athree time1 time2 time3 Ringing Frequency wringing 12.00 314 1.571 456 sec sec sec rad/sec

Answer 1

Solution The given Questien Gven data Time c31q Sec. 3-456 sec irne -A ene 2. 00 mv 20.01 ra Sec 3.9 sec-