Appendix-B. (WoodFrameSolver Analysis Results and Comparison with SAP 2000)

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1 Appendix-B ( Analysis Results and Comparison with SAP 2000) This Appendix presents some example models used in testing and verification. All the results and figures are obtained from the verification manual and the release document. Sections B.1 and B.2 present the analysis results of several example models using and SAP Section B.3 presents the current capabilities. Section B.4 presents the bandwidth and analysis speed comparison of some of the larger models tested using and SAP B.1 Finite Element Models This section presents the analysis results of some finite element models using and SAP These models are generated using the WoodFrameMesh program and constitute three node shell, four node shell, frame, nonlinear link (with linear behavior) and spring elements. In these models involving shell elements, we see that the results for the displacements are slightly different compared to the results obtained from SAP The reason is the implementation of a different shell element in the program. 162

2 B.1.1 Input Filename: House1.s2k Description: House developed by WoodFrameMesh Purpose: Verify the accuracy of for models developed by WoodFrameMesh UZ RX RY UZ RX RY B.1.2 Input Filename: House2.s2k Description: House developed by WoodFrameMesh Purpose: Verify the accuracy of for WoodFrameMesh Models UX RY RZ UX RY RZ

3 B.1.3 Input Filename: House3.s2k Description: House developed by WoodFrameMesh Purpose: Verify the accuracy of for WoodFrameMesh Models UZ RX RY UZ RX RY B.1.4 Input Filename: House4.s2k Description: House developed by WoodFrameMesh Purpose: Verify the accuracy of for WoodFrameMesh models UZ RX RY UZ RX RY e e e e e e e e e e e e e e-5 164

4 B.1.5 Input Filename: House5.s2k Description: House developed by WoodFrameMesh Purpose: Verify the accuracy of for WoodFrameMesh models UZ RX RY UZ RX RY e-5 B.1.6 Input Filename: CIRCULAR-PLATE.s2k Description: Plate developed by WoodFrameMesh Purpose: Verify the accuracy of for WoodFrameMesh models UX UY UX UY

5 B.2 Frame Models This section presents the analysis results of some frame models using and SAP These models are generated using SAP Some of these models also include springs, equal constraints and non-linear link elements. B.2.1 Input Filename: Frame2.s2k Date tested: 4/27/04 Description: Two story frame in XZ Plane Purpose: Verify the accuracy of for Multistory frame UX UZ RY UX UZ RY Element Force: Element FX MX MZ FX MX MZ

6 B.2.2 Input Filename: Frame3.s2k Date tested: 4/27/04 Description: one story two bay frame in XZ plane Purpose: Verify the accuracy of for multi bay frames UX UZ RY UX UZ RY e e Element Force: Element FX MX MZ FX MX MZ e e e

7 B.2.3 Input Filename: VerticalBarwithSpring.s2k Date tested: 4/27/04 Description: Vertical bar with springs attached to the free end Purpose: Verify the accuracy of for spring element UY UZ RX UY UZ RX Element Force: Element FX MY MZ FX MY MZ

8 B.2.4 Input Filename: 2DFrConst1.s2k Date tested: 4/27/04 Description: Three story Braced frame in XZ plane with equal displacement constraints Purpose: Verify the accuracy of for displacement constraints UX UZ RY UX UZ RY Element Force: Element FX FY MZ FX FY MZ

9 B.3 Current Features Table B.1: Current features ( release document) Feature Coded Implemented Tested S2K Reader Yes Yes Yes S2K Echo File Writer Yes Yes Yes s Coordinates Yes Yes Yes Releases Yes Yes Yes Constraints Yes Yes Yes Frame Elements End Releases Yes Yes Yes Include Shear Deformations Yes Yes Yes Spring Elements Non Linear Link Element Membrane Element (3 s) Plate Bending Element ( 3 s) Shell ( 3 s) Membrane Element ( 4 s) Plate Bending Element ( 4 s) Shell ( 4 s) Banded Solver Yes Yes Yes Renumbering Algorithm Yes Yes Yes Multiple Load Cases Yes Yes Yes Load Combinations Yes Yes Yes 170

10 B.4 Bandwidth and Analysis Speed Comparison Charts The following charts present the bandwidth and analysis speed comparisons of the program with SAP Figure B.2 shows that the effective bandwidth obtained for the problems using is always greater than that for problems solved using SAP This is due to the optimum renumbering scheme used in SAP It is also found that the program requires a renumberer for solving problems having more than 50,000 degrees of freedom. The use of renumberer in solving finite element problems using the has resulted in much faster solution times as compared to SAP Figure B.2: Bandwidth comparisons between and ( release document, 2004) 171

11 Figure B.3: Speed comparisons between and ( release document, 2004) 172

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