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SAP2000 SAP2000 Web Tutorial 1

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Note: The damping ratios must be between 0 and 1. A value of 5% of critical<br />

damping should be entered as 0.05, not 5.<br />

• The Show Single Demand Spectrum (Variable Damping) check box is checked indicating<br />

that the single demand spectrum is shown on the plot. The color box adjacent to the<br />

Show Family of Demand Spectra check box is yellow (by default) indicating that the<br />

single demand spectrum is shown in yellow. You can change the color by clicking on the<br />

color box.<br />

Note: The single demand spectrum (variable damping) curve is constructed by doing<br />

the following for each point on the ADRS pushover curve:<br />

1. Draw a radial line<br />

through the point<br />

on the ADRS<br />

pushover curve.<br />

This is a line of<br />

constant period.<br />

2. Calculate the<br />

damping<br />

associated with the<br />

point on the curve<br />

based on the area<br />

under the curve up<br />

to that point.<br />

Sa<br />

Sd<br />

Radial line has constant period<br />

Point on single demand spectrum<br />

(variable damping) associated with<br />

arbitrary point on pushover curve<br />

Pushover curve<br />

Demand spectrum plotted at same<br />

damping level as associated with<br />

arbitrary point on pushover curve<br />

Arbitrary point on pushover curve<br />

Damping based on area under pushover<br />

curve up to arbitrary point<br />

3. Construct the demand spectrum, plotting it for the same damping level as<br />

associated with the point on the pushover curve.<br />

4. The intersection point of the radial line and the associated demand<br />

spectrum represents a point on the Single Demand Spectrum (Variable<br />

Damping) curve.<br />

This method is similar to the method called Procedure B in Chapter 8 of ATC-40<br />

except it does not make the simplifying assumption that the post yield stiffness<br />

remains constant. It is essentially the method referred to as “exact” in the<br />

discussion of the method called Procedure C in Chapter 8 of ATC-40.<br />

• The Show Constant period Lines At check box is checked indicating that up to four<br />

different constant period lines are shown on the plot. The color box adjacent to the Show<br />

Constant period Lines At check box is gray (by default) indicating that the constant<br />

period lines are shown in gray. You can change the color by clicking on the color box.<br />

<strong>SAP2000</strong> <strong>Web</strong> <strong>Tutorial</strong> 1 116

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