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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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| Redundancy/Reliability Factor | |
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| Earthquake Load Effect | |
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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 | |