A two-story shear building is shown in Fig. 7.14 in which the floors are assumed to be

Question:

A two-story shear building is shown in Fig. 7.14 in which the floors are assumed to be rigid. Using Rayleigh's method, compute the first natural frequency of the building for $m_{1}=2 m, m_{2}=m, h_{1}=h_{2}=h$, and $k_{1}=k_{2}=3 E I / h^{3}$. Assume the first mode configuration to be the same as the static equilibrium shape due to loads proportional to the floor weights.

Figure 7.14:-

image text in transcribed