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*TO DO:* Correct the acceleration record
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h1. Purpose

The purpose of this test problem on *acceleration loading* is outlined as follows:

* Demonstrate [acceleration-load|kb:Acceleration load] application

* Demonstrate [absolute/relative|kb:Acceleration FAQ#Difference between relative and absolute acceleration] acceleration, velocity, and displacement

* Verify SAP2000 results with those obtained from the [Acceleration to displacement record |Acceleration loading^Spreadsheet calcs.zip] spreadsheet

* Check the ALTADENA-1 acceleration record

* Check one 10-cycle sinusoidal acceleration record


h1. Overview

The attached [SAP2000|sap2000:home] file features a massless cantilever subjected to a vertical force which represents a concentrated [mass|kb:Mass] located at its free end. A sinusoidal acceleration [time history|kb:Time-history analysis], defined as the SINE time-history [load case|kb:Load case], is applied to the system.

The absolute acceleration, velocity, and displacement of the restrained [joint|kb:Joint] are plotted to obtain the applied ground-acceleration time history, along with its corresponding velocity and displacement records. For the test model given, these records are plotted in Figure 1:

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!Acceleration_plot_functions.png|align=center,border=1!

{center-text}Figure 1 - Sinusoidal acceleration, velocity, and displacement plot{center-text}

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These plots match the values obtained through manual calculation, displayed in the attached [Excel file |Acceleration loading^Spreadsheet calcs.zip]. This manual calculation follows formulation J.2 of Appendix J in Dr. Edward L. Wilson’s text