Design-Oriented Analysis of Structures: A Unified Approach

List of Tables

Chapter 3: Reanalsis of Structures

Table 3.1: Mathematical expressions for various reanalysis problems

Chapter 5: Local Approximations

Table 5.1: First-order scaled approximations, cross-section changes.
Table 5.2: Second-order scaled approximations, cross-section changes.
Table 5.3: First-order scaled approximations, geometrical changes.
Table 5.4: Second-order scaled approximations, geometrical changes.

Chapter 6: Global Approximations

Table 6.1: Second-order Least-Square (LS) approximations, ten-bar truss.

Chapter 7: Combined Approximations (CA)

Table 7.1: Displacements found by CA and exact methods for ? = 0.4.
Table 7.2: Forces found by CA and exact methods for ? = 0.4.
Table 7.3: Stresses found by CA and exact methods for ? = 0.4.
Table 7.4: Modified cross sections for various modified designs of the ten-bar truss.
Table 7.5: Displacements found by the CG method.
Table 7.7: Errors for CA and CG methods.
Table 7.8: Eigenvalues ( ?) and Condition Number ( ?) for K and .
Table 7.6: Displacements found by the CA method.
Table 7.9: Numbers of basis vectors needed to limit maximum errors to 1% and 0.1%
Table 7.10: Analysis by the CA method for cross-sectional areas of unity.

Chapter 8: Simplified Solution Procedures

Table 8.1: Low-order approximations of displacements.
Table 8.2: Data, various direction vectors: a. Large ? X, ? = 0. b. Large ? X, small ?. c. Small ? X, large ?.
Table 8.3: Displacements, first-order approximations, various direction vectors.
Table 8.4: Approximations of displacements by the BA and the CA methods.

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