For the four-story shear building shown in Fig. 6.35, there is no rotation of the horizontal section at the level of floors. Assuming that the floors are rigid and the total mass is concentrated at the levels of the floors, derive the equations of motion of the building using

(a) Newton's second law of motion and

(b) Lagrange's equations.

Figure 6.35:-

Transcribed Image Text:

F4(1)- k4/2 F3(1)- m4 k4/2 -X3- m3 k3/2 k3/2 m F2(t)- k/2. k/2 m F(t)- k/2 k/2 C1 FIGURE 6.35 Four-story shear building.