A one-story reinforced concrete building has a roof mass of 500 kips/g, and its natural frequency is 4 Hz. This building is excited by a vibration generator with two weights, each 50 lb, rotting about a vertical axis at an eccentricity of 12 in. When the vibrator generator runs at the natural frequency of the building, the amplitude of roof acceleration is measured to be 0.02g. Determine the damping of the structure. Neglect the mass of the structure except for the roof mass.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A one-story reinforced concrete building has a roof mass of 500 kips/g, and its natural
frequency is 4 Hz. This building is excited by a vibration generator with two weights, each
50 lb, rotting about a vertical axis at an eccentricity of 12 in. When the vibrator generator
runs at the natural frequency of the building, the amplitude of roof acceleration is measured
to be 0.02g. Determine the damping of the structure. Neglect the mass of the structure
except for the roof mass.
Transcribed Image Text:A one-story reinforced concrete building has a roof mass of 500 kips/g, and its natural frequency is 4 Hz. This building is excited by a vibration generator with two weights, each 50 lb, rotting about a vertical axis at an eccentricity of 12 in. When the vibrator generator runs at the natural frequency of the building, the amplitude of roof acceleration is measured to be 0.02g. Determine the damping of the structure. Neglect the mass of the structure except for the roof mass.
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