The masses of the tup, frame (along with the anvil and the workpiece), and concrete block in the forging hammer shown in Fig. 5.51 are \(1000 \mathrm{~kg}, 5000 \mathrm{~kg}\), and 25,000 kg, respectively. The tup drops onto the workpiece from a height of \(2 \mathrm{~m}\). Design suitable springs \(k_{1}\) and \(k_{2}\) for the following conditions:

(a) The impact is inelastic-that is, the tup will not rebound after striking the workpiece.

(b) The natural frequencies of vibration of the forging hammer should be greater than \(5 \mathrm{~Hz}\).

(c) The stresses in the springs should be smaller than the yield stress of the material with a factor of safety of at least 1.5. Assume that the elasticity of the soil is negligible.

Figure 5.51:-

Transcribed Image Text:

Tup (hammer) 2 m Frame Foundation (concrete) block 000 000 ~000- '000' Workpiece Anvil Stiffness of elastic pad (k2) 000 000 000 FIGURE 5.51 Forging hammer. Isolation (k)