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Rotation Example

 

 

 

A building located in San Francisco, California, is classified as a near-fault site as the following criteria are satisfied:

Distance between the building and the San Andreas fault equals 5.4 km (<15 km)

Historically, this fault generated events with Mw > 7

 

The figure below presents the site characteristics showing that the building satisfies the near-fault conditions of ASCE 7-16. The building x-axis has a 33° (clockwise) angle from the San Andreas Fault Normal.

 

Figure: Site characteristics

 

A record (H-E04140) was generated using QuakeManager having the following characteristics:

Mw = 6.53

drup = 7.05

PGA = 0.57

Tpulse = 4.79

Site Class: D

 

The user have two options to rotate the generated record as follows:

Option 1: Rotated to Fault Normal

Option 2: Rotated to Fault Normal + Angle (33° in this case)

 

The figure below shows that the as-record Ground Motion Record (red record) was rotated to Fn/Fp only in QuakeManager. An angle (-33°) was applied to the rotated record (green record)  in Perform 3D to account for the building orientation. In this case, an angle of 33 degrees is applied in Perform-3D as shown.

 

Figure: Rotation option 1

 

QuakeManager supports an alternative option in which users may rotate the records to Fn/Fp plus the angle of the building direction. This indicates that no additional angle shall be applied in Perform 3D. The rotated record (green record) to Fn/Fp was also rotated to an angle which resulted in the record (orange) having the building principal directions.

 

Figure: Rotation option 2

 

Note that in both options above, an Acceleration Factor of -1 should be defined for the 2nd component in Perform-3D since th 2nd component in this case is 90-degrees CW from the 1st component.


 

The figures below shows the results of a generated (as-recorded) and rotated record using QuakeManager:

 

Black record: As-record record

Green record: record rotated to Fn/Fp

Orange Record: record rotated to Fn/Fp + Angle

 

Figure: As-recorded Component 1 of the generated record

 

Figure: Record Component 1 rotated to Fault Normal

 

Figure: Record Component 1 rotated to Fault Normal + additional angle

 

Figure: As-recorded Component 2 of the generated record

 

Figure: Record Component 2 rotated to Fault Parallel

 

Figure: Record Component 2 rotated to Fault Parallel + additional angle

 

 

 

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