Solutions for Soil and Structural Systems using Excel and VBA Programs

Robert L. Sogge has a background which includes training, teaching, research and practical consulting in the area of soil-structure interaction. He achieved his PhD in Civil Engineering at the University of Arizona, USA, and practices in that state and California. He has developed many of these computer programs in the pursuit of his work as a consultant.

About the Author xxi Preface xxiii Acknowledgments xxv PART ONE COMPUTER SOFTWARE 1 1 Microsoft Excel Spreadsheet 3 1.1 History of Spreadsheet Development 3 1.2 Excel 2010 4 1.3 Transmitting Cell Values Not Formulas 5 1.4 Accuracy 5 1.5 Saving 6 1.6 Implementation of Excel Features 6 2 Microsoft VBA Programming Language 13 2.1 History of the BASIC Computer Language 13 2.2 Justification for Using Excel with VBA Macros 15 2.3 Difference between aWorkbook and a VBA Macro 16 2.4 VBA Macro Nomenclature 16 2.5 Generating a Procedure 17 2.6 Security Level Required to Open VBA Macros 19 2.7 VBA Code Statements that Differ from Previous BASIC Versions 19 2.8 Implementation of VBA Macro Programming 20 2.9 Inputting Data to a VBA Procedure 26 2.10 Output Data from a VBA Procedure 30 2.11 Running a Macro 32 2.12 Code Debugging 33 2.13 Charting in a Worksheet 34 2.14 Line Plots in a Worksheet 34 2.15 Macro Sub Program Showing Output toWorksheet 35 2.16 Computer Hardware/Software Requirements 36 PART TWO STRUCTURES 41 3 Finite Element Method The Theory 43 3.1 Theory 43 3.2 Developing the Element Stiffness Matrix 44 3.3 Creating the Global Stiffness Matrix by Assembling Element Stiffnesses 47 3.4 Solving Simultaneous Equations for Displacements 47 3.5 Element Displacements and Forces 48 3.6 Flowchart of Steps 49 4 Finite Element Analysis VBA Program PFrame 51 4.1 Program PFrame Finite Element Analysis (FEA) of BeamBar Structural Systems 51 4.2 Creating an Input Data Worksheet 52 4.3 Input Data 52 4.4 Joint Numbering and Dimensions 56 4.5 Load Application 58 4.6 Imposed Joint Displacements 59 4.7 Unstable or Improperly Supported Configurations 60 4.8 Running Program PFrame 60 4.9 Output Data 62 4.10 Alternate Solution Approach to Macro Program PFrame 63 4.11 Significant Aspects of Excel Worksheet & VBA Macro Program Construction 63 5 Beams 65 5.1 Beam Member Types 65 5.2 Bar Members as Pinned-End Beams 65 5.3 Moment of Inertia Conversion for Different Member Axis Orientation 67 5.4 Load Application 69 6 Frames 71 6.1 Analysis of Frames 71 6.2 Rigid Joints 71 6.3 Joint Numbering 71 6.4 Pinned-End Beam 73 6.5 Supports 74 6.6 Varying EI of Members Comprising a Frame 75 6.7 Stability The PDelta Effect 76 6.8 Load Case Combinations of Load Groups 76 6.9 Interior Member Forces 77 6.10 Examples 77 7 Trusses 81 7.1 Theory for Bar Members 81 7.2 Analysis of Bar Assemblage 81 7.3 Load Application 82 7.4 Initial Member Length Changes 82 7.5 Support Displacements 82 8 Reinforced Concrete 83 8.1 Concrete and Reinforcing Steel Properties 83 8.2 Design Capacity and Reinforcing Requirements 84 8.3 Strength Properties for a SoilStructure Interaction Analyses 89 8.4 Cracked-Section Concrete Properties 90 8.5 Excel Workbooks 91 8.6 Notation 92 PART THREE SOILS 95 9 Soil Classification 97 9.1 Field Geotechnical Processes 97 9.2 Soil Description 100 9.3 Field and Laboratory Tests for Soil Identification 103 9.4 Soil Classification Systems 106 9.5 Excel Workbooks and VBA Programs 108 9.6 Soil Mechanics Symbol Nomenclature 109 10 Soil Strength Properties 115 10.1 Discrete and Elastic Finite Element Models 115 10.2 General Elasticity Equations Relating Stress and Strain 115 10.3 Modulus of Elasticity and Poissons Ratio 118 10.4 Coefficient of Subgrade Reaction 135 10.5 Mathematical Descriptions of Curves Using Program Curve Fit 138 11 Stresses in an Elastic Half-Space 141 11.1 Closed-Form Elasticity Solutions 141 11.2 Lateral Stresses against a Wall Restrained from Movement due to Point, Line, and Strip Loading 141 11.3 Boussinesq Equation 141 11.4 Westergaard Equation 142 11.5 Mindlin Equation 142 11.6 Chart Solutions 142 11.7 Excel Workbook Lat&VertStress 143 11.8 VBA Program HSpace 143 11.9 Significant Programming Aspects 144 11.