Design-Oriented Analysis of Structures: A Unified Approach

List of Examples

Chapter 4: Direct Methods

Example 4.1: Exact Solutions by the S-M Formula.

Chapter 5: Local Approximations

Example 5.1: First-Order Approximations Using Intermediate Variables.
Example 5.2: Scaled Approximations, Cross Section Changes.
Example 5.3: Scaled Approximations, Geometrical Changes.

Chapter 6: Global Approximations

Example 6.1: Comparison of Various Approximations.
Example 6.2: Least-Square Solutions.

Chapter 7: Combined Approximations (CA)

Example 7.1: Evaluation of Displacements, Forces and Stresses.
Example 7.2: Large Changes in the Design.
Example 7.3: Various Structures.
Example 7.4: Complete Analysis.

Chapter 8: Simplified Solution Procedures

Example 8.1: Structural Optimization.
Example 8.2: Analysis of a Damaged Grillage.
Example 8.3: Renalysis of a Damaged Frame , .
Example 8.4: Exact Solutions by the CA Method.

Chapter 9: Topological and Geometrical Changes

Example 9.1: Conditionally Unstable Structures.
Example 9.2: 50-Bar Truss.
Example 9.3: 19-Bar Truss .
Example 9.4: 2050-Bar Truss.
Example 9.5: Number of DOF is Increased .
Example 9.6: Nearly Dependent Basis Vectors (Ten-Bar Truss).
Example 9.7: Nearly Scaled Designs (50-Bar Truss).
Example 9.8: 130-Bar Truss.
Example 9.9: Various Changes in the Geometry and the Topology.
Example 9.10: Change in a Small Number of Members.

Chapter 10: Design Sensitivity Analysis

Example 10.1: Low-Order Approximations of Derivatives.
Example 10.2: Accurate Derivatives by the CA Method .

Chapter 11: Nonlinear Reanalysis

Example 11.1: Nonlinear Analysis.
Example 11.2: Nonlinear Reanalysis by the CA Method.
Example 11.3: Nonlinear Analysis by the CA Method.
Example 11.4: Nonlinear Analysis of A Space Frame .

Chapter 12: Vibration Reanalysis

Example 12.1: Calculating Mode Shapes by Matrix Iteration.
Example 12.2: Reanalysis...

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