e structural frame shown in Figure I(c) is rigid jointed and fixed to its supports. The mass of the structure is 5000 kg and is concentrated on the beam that is assumed to be rigid. The two columns are assumed to be massless and each has a flexural stiffness (EI) of 4.5xl10€ Nm². If the structure has a damping ratio () of 4% (=0.04), calculate; the damped natural frequency of the structure. m= 5,000 kg Deflected shape when oscillating L= 3m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The structural frame shown in Figure 1(c) is rigid jointed and fixed to its supports. The
mass of the structure is 5000 kg and is concentrated on the beam that is assumed to
be rigid. The two columns are assumed to be massless and each has a flexural
stiffness (EI) of 4.5x106 Nm². If the structure has a damping ratio () of 4% (=0.04),
calculate; the damped natural frequency of the structure.
m = 5,000 kg
L =
Deflected shape
when oscillating
3m
Figure 1(c)
Transcribed Image Text:The structural frame shown in Figure 1(c) is rigid jointed and fixed to its supports. The mass of the structure is 5000 kg and is concentrated on the beam that is assumed to be rigid. The two columns are assumed to be massless and each has a flexural stiffness (EI) of 4.5x106 Nm². If the structure has a damping ratio () of 4% (=0.04), calculate; the damped natural frequency of the structure. m = 5,000 kg L = Deflected shape when oscillating 3m Figure 1(c)
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