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Chapter 1: Q19DQ (page 459)

In designing structures in an earthquake-prone region,how should the natural frequencies of oscillation of a structurerelate to typical earthquake frequencies? Why? Should the structure have a large or small amount of damping?

Short Answer

Expert verified

The frequency of buildings should be different from that of Earthquake frequencies.

The buildings should also have a large amount of dampening in order to prevent buildings from swaying which again can make buildings tumble.

Step by step solution

01

Define frequency and its formula

Frequency of a simple pendulum is defined as the number of oscillation per unit time.

Frequency is given by

f=12πgL

Here,

fis the frequency

Lis the length of the string to the pendulum

gis the acceleration due to gravity

02

Application of Frequency in given problem

The frequency of buildings and that of typical earthquakes should be very different. If not, waves will be magnified causing the buildings to rapidly rip itself apart.

The buildings should also have a large amount of dampening in order to prevent the buildings from swaying which again can make buildings tumble.

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