Find the natural frequencies of vibration of the radial drilling machine considered in Problem 12.20 (Fig. 12.26).

Data From Problem 12.20:-

A simplified model of a radial drilling machine is shown in Fig. 12.26. If a vertical force of \(5000 \mathrm{~N}\) along the \(z\)-direction and a bending moment of \(500 \mathrm{~N}-\mathrm{m}\) in the \(x z\)-plane are developed at point \(A\) during a metal cutting operation, find the stresses developed in the machine. Use two beam elements for the column and one beam element for the arm. Assume the material of the machine as steel.

Transcribed Image Text:

0.4 m 2 m N 2.4 m. 400 mm 415 mm Cross section of column Arm A Column. 15 mm- 550 mm 350 350 mm Cross section of arm FIGURE 12.26 A radial drilling-machine structure.