2.14. The one-story structure shown in Fig. 2.21 can be modeled in the first approximation as a single-degree-of-freedom system by regarding the columns as massless beams clamped at both ends and the roof as a rigid slab. Derive the equation for the horizontal translation of the slab and determine the natural frequency. The mass of the slab is denoted by M and the flexural rigidity of the columns by EI. M EI EI H FIGURE 2.21 One-story structure

Elements Of Electromagnetics
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106
RESPONSE OF SINGLE-DEGREE-OF-FREEDOM SYSTEMS TO INITIAL EXCITATIONS
2.14. The one-story structure shown in Fig. 2.21 can be modeled in the first approximation as a
single-degree-of-freedom system by regarding the columns as massless beams clamped at
both ends and the roof as a rigid slab. Derive the equation for the horizontal translation of
the slab and determine the natural frequency. The mass of the slab is denoted by M and the
flexural rigidity of the columns by EI.
M
EI
EI
H
FIGURE 2.21
One-story structure
Nindows bu
Transcribed Image Text:106 RESPONSE OF SINGLE-DEGREE-OF-FREEDOM SYSTEMS TO INITIAL EXCITATIONS 2.14. The one-story structure shown in Fig. 2.21 can be modeled in the first approximation as a single-degree-of-freedom system by regarding the columns as massless beams clamped at both ends and the roof as a rigid slab. Derive the equation for the horizontal translation of the slab and determine the natural frequency. The mass of the slab is denoted by M and the flexural rigidity of the columns by EI. M EI EI H FIGURE 2.21 One-story structure Nindows bu
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