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Microstran Response Spectrum Analysis to NZS 4203

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Current Revision posted to Structural Analysis and Design - Wiki by Seth Guthrie on 1/30/2015 11:57:07 PM

  
 Applies To 
  
 Product(s):Microstran
 Version(s):V8i
 Environment: N/A
 Area: Analysis
 Original Author:Richard Collins
  

An Excel spreadsheet, shown below, is available to assist in the use of Microstran Response Spectrum Analysis of structures to NZS 4203. The procedure is described briefly in notes at the top of the spreadsheet. The spreadsheet calculates scale factors that have to be entered in Microstran dialog boxes during the response spectrum analysis.

February, 2000: The spreadsheet now interpolates for values of period and ductility factor that are not equal to values tabulated in the code.

Values shown in the spreadsheet relate to this structure:

Earthquake Example

The spreadsheet is available at Free Stuff.

MICROSTRAN RESPONSE SPECTRUM ANALYSIS - NZS4203 PART 4    
     
PROCEDURE:    
1. Do dynamic analysis without RSA box checked.    
2. File > List/Edit File command, then choose Dynamic Log.    
3. Find fundamental period for direction of interest.    
4. Enter values shown in red or orange. Do not change anything else.    
5. Do static analysis with empty load case for RSA results.    
6. Repeat dynamic analysis with…    
a. RSA box checked.    
b. Green value entered in Response Spectrum dialog.    
c. Response spectrum curve A1, B1, or C1 selected.    
7. Check dynamic log for 90% mass participation.    
8. Analyse > Response Spectrum then:    
In Dynamic Load Case Scale Factors dialog…    
- transfer Reaction value to blue value below.    
9. Repeat static analysis.    
10. Repeat dynamic analysis with…    
a. RSA box checked.    
b. Magenta value entered in Response Spectrum dialog.    
c. Response spectrum curve A1, B1, or C1 selected.    
11. Analyse > Response Spectrum    
12. Create Input/Analysis report and check base shear    
for earthquake case.    
     
Frequency of first mode, Hz =2   
Fundamental trans. period of vibration, T1 =0.50sec.  
Site subsoil category =a  (Rock=a - Deep soil=c)
Total seismic weight of structure, Wt =5515kN  
     
Structural ductility factor, u    
(Ratio: Max. displacement/Yield displacement) =3.00  (1.00 to 10.00)
Structural performance factor, Sp =0.67  (Always 0.67 ?)
Risk factor for structure =1.0  (0.6 to 1.3)
Zone factor, Z =0.6  (0.6 to 1.2)
Limit state factor, Ls =0.1667   
Limit state factor, Lu =1.0   
     
Equivalent Static Method:abc 
Serviceability limit state -    
Serviceability - Ch(T1,1) =0.630.771.00 
Ch(T1,1)*Sp*R*Z*Ls =0.04220.05160.0670 
Lateral force coefficient, C =0.0422   
Horizontal seismic shear force, V =233kN  
Ultimate limit state -    
Ultimate - Ch(T1,u) =0.260.320.37 
Ch(T1,u)*Sp*R*Z*Lu =0.10450.12860.1487 
For site subsoil category, this =0.1045   
Lateral force coefficient, C =0.1045  (Not less than 0.03)
Horizontal seismic shear force, V =576kN  
     
Modal Response Spectrum Method:    
Serviceability limit state -    
Sp*R*Z*Ls =0.0670   
Microstran RSA scale factor =0.66   
Ultimate limit state -    
Sp*R*Z*Lu =0.4020   
Microstran RSA scale factor =3.94  (Use this in first run with u=1 spectrum to obtain Vbase(1))
Combined modal base shear, Vbase(1) =1136  (Insert value from Microstran)
Design spectrum scaling factor, Sm1 =0.41   
Modal analysis scaling factor, Km =1.0  (0.8 or 1.0)
4.6.2.7(b) C =0.1045   
Design spectrum scaling factor, Sm2 =0.51   
Sm =0.51  (Max. of Sm1, Sm2)
Sm*Sp*R*Z*Lu =0.2040   
Microstran RSA scale factor =2.00  (Use this in final run with u=1 spectrum)

 

Tags: analysis, NZS 4203, Microstran, Dynamic Analysis

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