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Preface to the Fifth Edition | |

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Preface to the First Edition | |

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Structures Modeled as a Single-Degree-of-Freedom System | |

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Undamped Single-Degree-of-Freedom System | |

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Degrees of Freedom | |

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Undamped System | |

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Springs in Parallel or in Series | |

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Newton's Law of Motion | |

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Free Body Diagram | |

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D' Alembert's Principle | |

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Solution of the Differential Equation of Motion | |

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Frequency and Period | |

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Amplitude of Motion | |

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Summary | |

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Problems | |

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Damped Single-Degree-of-Freedom System | |

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Viscous Damping | |

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Equation of Motion | |

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Critically Damped System | |

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Overdamped System | |

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Underdamped System | |

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Logarithmic Decrement | |

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Summary | |

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Problems | |

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Response of One-Degree-of-Freedom System to Harmonic Loading | |

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Harmonic Excitation: Undamped System | |

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Harmonic Excitation: Damped System | |

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Evaluation of Damping at Resonance | |

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Bandwidth Method (Half-Power) to Evaluate Damping | |

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Energy Dissipated by Viscous Damping | |

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Equivalent Viscous Damping | |

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Response to Support Motion | |

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Force Transmitted to the Foundation | |

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Seismic Instruments | |

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Response of One-Degree-of-Freedom System to Harmonic Loading Using SAP2000 | |

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Summary | |

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Analytical Problem | |

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Problems | |

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Response to General Dynamic Loading | |

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Duhamel's Integral-Undamped System | |

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Duhamel's Integral-Damped System | |

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Response by Direct Integration | |

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Solution of the Equation of Motion | |

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Program 2-Response by Direct Integration | |

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Program 3-Response to Impulsive Excitation | |

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Response to General Dynamic Loading Using SAP2000 | |

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Summary | |

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Analytical Problems | |

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Problems | |

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Response Spectra | |

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Construction of Response Spectrum | |

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Response Spectrum for Support Excitation | |

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Tripartite Response Spectra | |

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Response Spectra for Elastic Design | |

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Influence of Local Soil Conditions | |

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Response Spectra for Inelastic Systems | |

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Response Spectra for Inelastic Design | |

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Program 6-Seismic Response Spectra | |

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Summary | |

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Problems | |

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Nonlinear Structural Response | |

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Nonlinear Single Degree-of-Freedom Model | |

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Integration of the Nonlinear Equation of Motion | |

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Constant Acceleration Method | |

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Linear Acceleration Step-by-Step Method | |

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The Newmark Beta Method | |

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Elastoplastic Behavior | |

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Algorithm for the Step-by-Step Solution for Elastoplastic Single-Degree-of-Freedom System | |

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Program 5-Response for Elastoplastic Behavior | |

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Summary | |

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Problems | |

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Structures Modeled as Shear Buildings | |

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Free Vibration of a Shear Building | |

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Stiffness Equations for the Shear Building | |

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Natural Frequencies and Normal Modes | |

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Orthogonality Property of the Normal Modes | |

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Rayleigh's Quotient | |

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Program 8-Natural Frequencies and Normal Modes | |

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Free Vibration of a Shear Building Using SAP2000 | |

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Summary | |

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Problems | |

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Forced Motion of Shear Building | |

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Modal Superposition Method | |

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Response of a Shear Building to Base Motion | |

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Program 9-Response by Modal Superposition | |

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Harmonic Forced Excitation | |

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Program 10-Harmonic Response | |

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Forced Motion Using SAP2000 | |

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Combining Maximum Values of Modal Response | |

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Summary | |

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Problems | |

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Reduction of Dynamic Matrices | |

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Static Condensation | |

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Static Condensation Applied to Dynamic Problems | |

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Dynamic Condensation | |

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Modified Dynamic Condensation | |

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Program 12-Reduction of the Dynamic Problem | |

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Summary | |

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Problems | |

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Framed Structures Modeled as Discrete Multi-Degree-of-Freedom Systems | |

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Dynamic Analysis of Beams | |

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Shape Functions for a Beam Segment | |

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System Stiffness Matrix | |

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Inertial Properties-Lumped Mass | |

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Inertial Properties-Consistent Mass | |

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Damping Properties | |

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External Loads | |

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Geometric Stiffness | |

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Equations of Motion | |

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Element Forces at Nodal Coordinates | |

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Program 13-Modeling Structures as Beams | |

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Dynamic Analysis of Beams Using SAP2000 | |

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Summary | |

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Problems | |

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Dynamic Analysis of Plane Frames | |

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Element Stiffness Matrix for Axial Effects | |

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Element Mass Matrix for Axial Effects | |

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Coordinate Transformation | |

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Program 14-Modeling Structures as Plane Frames | |

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Dynamic Analysis of Frames Using SAP2000 | |

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Summary | |

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Problems | |

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Dynamic Analysis of Grid Frames | |

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Local and Global Coordinate Systems | |

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Torsional Effects | |

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Stiffness Matrix for a Grid Element | |

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Consistent Mass Matrix for a Grid Element | |

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Lumped Mass Matrix for a Grid Element | |

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Transformation of Coordinates | |

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Program 15-Modeling Structures as Grid Frames | |

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Dynamic Analysis of Grid Frames Using SAP2000 | |

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Summary | |

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Problems | |

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Dynamic Analysis of Three-Dimensional Frames | |

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Element Stiffness Matrix | |

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Element Mass Matrix | |

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Element Damping Matrix | |

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Transformation of Coordinates | |

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Differential Equation of Motion | |

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Dynamic Response | |

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Program 16-Modeling Structures as Space Frames | |

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Dynamic Response of Three-Dimensional Frames Using SAP2000 | |

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Summary | |

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Problems | |

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Dynamic Analysis of Trusses | |

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Stiffness and Mass Matrices for the Plane Truss | |

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Transformation of Coordinates | |

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Program 17-Modeling Structures as Plane Trusses | |

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Stiffness and Mass Matrices for Space Trusses | |

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Equation of Motion for Space Trusses | |

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Program 18-Modeling Structures as Space Trusses | |

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Dynamic Analysis of Trusses Using SAP2000 | |

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Summary | |

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Problems | |

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Dynamic Analysis of Structures using the Finite Element Method | |

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Plane Elasticity Problems | |

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Triangular Plate Element for Plane Elasticity problems | |

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SAP2000 for Plane Elasticity Problem | |

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Plate Bending | |

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Rectangular Element for Plate Bending | |

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SAP2000 for Plate Bending and Shell Problems | |

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Summary | |

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Problems | |

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Time History Response of Multidegree-of-Freedom Systems | |

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Incremental Equations of Motion | |

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The Wilson-[theta] Method | |

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Algorithm for Step-by-Step Solution of a Linear System Using the Wilson-[theta] Method | |

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Initialization | |

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For Each Time Step | |

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Program 19-Response by Step Integration | |

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The Newmark Beta Method | |

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Elastoplastic Behavior of Framed Structures | |

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Member Stiffness Matrix | |

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Member Mass Matrix | |

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Rotation of Plastic Hinges | |

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Calculation of Member Ductility Ratio | |

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Time-History Response of Multidegree-of-Freedom Systems Using SAP2000 | |

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Summary | |

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Problems | |

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Structures Modeled with Distributed Properties | |

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Dynamic Analysis of Systems with Distributed Properties | |

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Flexural Vibration of Uniform Beams | |

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Solution of the Equation of Motion in Free Vibration | |

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Natural Frequencies and Mode Shapes for Uniform Beams | |

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Both Ends Simply Supported | |

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Both Ends Free (Free Beam) | |

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Both Ends Fixed | |

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One End Fixed and the other End Free (Cantilever Beam) | |

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One End Fixed and the other End Simply Supported | |

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Orthogonality Condition Between Normal Modes | |

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Forced Vibration of Beams | |

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Dynamic Stresses in Beams | |

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Summary | |

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Problems | |

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Discretization of Continuous Systems | |

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Dynamic Matrix for Flexural Effects | |

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Dynamic Matrix for Axial Effects | |

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Dynamic Matrix for Torsional Effects | |

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Beam Flexure Including Axial-Force Effect | |

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Power Series Expansion of the Dynamic Matrix for Flexural Effects | |

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Power Series Expansion of the Dynamic Matrix for Axial and for Torsional Effects | |

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Power Series Expansion of the Dynamic Matrix Including the Effects of Axial Forces | |

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Summary | |

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Special Topics: Fourier Analysis, Evaluation of Absolute Damping, Generalized Coordinates | |

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Fourier Analysis and Response in the Frequency Domain | |

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Fourier Analysis | |

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Response to a Loading Represented by Fourier Series | |

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Fourier Coefficients for Piecewise Linear Functions | |

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Exponential Form of Fourier Series | |

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Discrete Fourier Analysis | |

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Fast Fourier Transform | |

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Program 4-Response in the Frequency Domain | |

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Summary | |

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Problems | |

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Evaluation of Absolute Damping from Modal Damping Ratios | |

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Equations for Damped Shear Building | |

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Uncoupled Damped Equations | |

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Conditions for Damping Uncoupling | |

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Program 11-Absolute Damping From Modal Damping Ratios | |

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Summary | |

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Problems | |

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Generalized Coordinates and Rayleigh's Method | |

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Principle of Virtual Work | |

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Generalized Single-Degree-of-Freedom System-Rigid Body | |

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Generalized Single-Degree-of-Freedom System-Distributed Elasticity | |

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Shear Forces and Bending Moments | |

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Generalized Equation of Motion for a Multistory Building | |

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Shape Function | |

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Rayleigh's Method | |

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Improved Rayleigh's Method | |

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Shear Walls | |

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Summary | |

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Problems | |

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Random Vibration | |

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Random Vibration | |

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Statistical Description of Random Functions | |

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Probability Density Function | |

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The Normal Distribution | |

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The Rayleigh Distribution | |

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Correlation | |

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The Fourier Transform | |

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Spectral Analysis | |

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Spectral Density Function | |

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Narrow-Band and Wide-Band Random processes | |

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Response to Random Excitation: Single-Degree-of-Freedom System | |

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Response to Random Excitation: Multiple-Degree-of-Freedom System | |

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Relationship Between Complex Frequency Response and Unit Impulse Response | |

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Response to Random Excitation: Two-degree-of-freedom System | |

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Response to Random Excitation: N Degree of Freedom System | |

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Summary | |

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Problems | |

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Earthquake Engineering | |

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Uniform Building Code 1997: Equivalent Lateral Force Method | |

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Earthquake Ground Motion | |

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Equivalent Lateral Force Method | |

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Earthquake-Resistant Design Methods | |

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Seismic Zone Factor | |

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Base Shear Force | |

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Distribution of Lateral Seismic Forces | |

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Story Shear Force | |

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Horizontal Torsional Moment | |

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Overturning Moment | |

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P-Delta Effect (P-[delta]) | |

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Redundancy/Reliability Factor p | |

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Story Drift Limitation | |

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Diaphragm Design Forces | |

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Earthquake Load Effect | |

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Irregular Structures | |

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Summary | |

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Problems | |

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Uniform Building Code 1997: Dynamic Method | |

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Modal Seismic Response of Buildings | |

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Modal Equation and Participation Factor | |

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Modal Shear Force | |

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Effective Modal Weight | |

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Modal Lateral Forces | |

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Modal Displacements | |

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Modal Drift | |

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Modal Overturning Moment | |

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Modal Torsional Moment | |

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Total Design Values | |

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Provisions of UBC-97: Dynamic Method | |

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Scaling of Results | |

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Program 24-UBC 1997 Dynamic Lateral Force Method | |

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Summary | |

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Problems | |

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International Building Code IBC-2000 | |

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Response Spectral Acceleration: S[subscript s], S[subscript 1] | |

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Soil Modification Response Spectral Acceleration: S[subscript MS], S[subscript M1] | |

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Design Response Spectral Acceleration: S[subscript DS], S[subscript D1] | |

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Site Class Definition: A, B, ...F | |

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Seismic Use Group (SUG) and Occupancy Importance Factor (I[subscript E]) | |

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Seismic Design Category (A, B, C, D, E and F) | |

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Design Response Spectral Curve: S[subscript a] v.s. T | |

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Determination of the Fundamental Period | |

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Minimum lateral Force Procedure [IBC-2000: Section 1616.4.1] | |

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Simplified Analysis Procedure [IBC-2000: Section 1617.5] | |

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Seismic Base Shear | |

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Response Modification Factor R | |

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Vertical Distribution of Lateral Forces | |

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Equivalent Seismic Lateral Force Method: [IBC-2000: Section 1617.4] | |

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Distribution of Lateral Forces | |

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Overturning Moments | |

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Horizontal Torsional Moment | |

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P-Delta Effect (P-[delta]) | |

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Story Drift | |

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| |

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Redundancy/Reliability Factor | |

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Earthquake Load Effect | |

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| |

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Building Irregularities | |

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Summary | |

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Appendices | |

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Answers to Problems in Selected Chapters | |

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Computer Programs | |

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Glossary | |

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Selected Bibliography | |

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Index | |