Dynamic analysis of skeletal structures : force and displacement methods and iterative techniques /
| Main Author: | |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Language Notes: | In English. |
| Published: |
New York, N.Y. :
McGraw-Hill Education,
[2014]
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| Edition: | First edition. |
| Series: | McGraw-Hill's AccessEngineering.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- C. Introduction
- Part a
- Part b
- D. Acknowledgments
- A. Part a
- 1. General concepts and energy principles
- Skeletal structures
- Surface structures
- Solid bodies
- Stress resultants and deformations at joints of skeletal structures
- Superposition and non-linearity
- Energy principles
- Total strain energy for skeletal members
- 2. Force method
- Generalized force method
- Kinematic approach for determining indeterminacy
- Plane grids-transversely loaded, degree of indeterminacy
- Unstable frames, rank of equations of equilibrium
- Basic steps of analysis by force method
- Flexural deformations
- Indicial notation
- Virtual work method
- Deformations and influence lines
- Continuous beam on flexible supports
- Frames
- Parabolic arch ? non-prismatic
- Geometric loading?temperature stresses in indeterminate structures
- Choice of release system and flexibility analysis
- Grid analysis
- 3. Plastic analysis
- Pseudo non-linear analysis, uniqueness theorem, and stiffening
- Elastic-plastic analysis and "hinge release" system
- Mechanism at collapse
- Partial collapse
- Elastic and rigid plastic analysis, collapse load
- Basic mechanisms
- Combined mechanisms
- Virtual stiffening
- Full load analysis and 'last plastic hinges' before collapse
- Revision example of chapter 2 and 3
- 4. Matrix approach for force method
- General
- Joints and structural nodes
- The basic steps
- Continuous beams on rigid and flexible supports
- Pontoon bridges
- Temperature effects and lack of fit
- Rigid cum hinged structures
- Grids and beams curved in plan (bow girders)
- Space frames
- Unified force method?statics and energy principles
- Application of force method to bridge decks
- 5. Approximate methods of analysis of tall building frames
- Scope
- Approximate method for frames under vertical loads
- Approximate methods for frames under lateral loads
- Lateral deflections
- B. Part b
- 6. Displacement method
- General
- Deflected shapes
- Displaced shape of unstable structures
- Two approaches of displacement method
- Summary: ?member code? and ?joint code
- Force-deformation relation in system coordinates
- Transformation matrices, assembly for plane frame
- Revision, member and system axes
- Consolidation of theory
- Mixed method
- Direct stiffness method?more cases
- Grid illustrations
- Direct stiffness method for space frame
- Observations: use of shape functions
- Nonprismatic straight skeletal members
- 7. Displacement method-illustrations
- Comparison of force and displacement methods
- Computerization-logistics
- Connection matrix approach for rigid jointed frames
- Matrix condensation
- Gable frame by 'slope-deflection approach'
- Direct stiffness method
- Condensation of global stiffness of gable frame
- Non-linearity due to large displacements
- Reiteration of inextensibility and free bodies
- Generalization
- Miscellaneous structures
- Box frame
- The bottom member is supported by a soil bed: stiffness matrix of foundation beam
- Single bay two storey frame
- Analysis of 'a-frame'
- Plane and space trusses, and 'mero' space truss system
- 8. Iterative techniques
- Iterative techniques?displacement method
- Prediction and correction?conceptualization
- General considerations of the methods, inextensibility and rapid convergence
- Mathematical iterative methods
- Rotation and sway of frames
- Analysis of gable frame using elimination and back substation
- Solution of gable frame by moment distribution
- Moment distribution applied to continuous beams
- Elimination and back substitution applied to beams
- Kani's technique
- Extension of kani's algorithm to continuous beam with spring support
- Analysis of the frame two storey?single bay by kani's method
- Tall frames with sway
- Concluding remarks
- Extension of kani's method: axial deformations of column members
- 9. Introduction to applied dynamics and design of tall buildings
- General introduction to tall buildings?types
- Basics of dynamic analysis
- Earthquake loads and response
- Dynamic characteristics
- Response to dynamic loading
- Frame building as a multi-degree freedom system
- Frame building
- Analysis of single plane frame?cwk model
- Three dimensional frame building?wn model
- Shear wall and storey stiffness of tall building system
- General case of storey stiffness: shear wall cum frame
- Sifting of ?-macrx from ? and dynamic analysis
- Alternative approach by flexibility matrix, f
- Flexibility matrix, f-eigen values and mode shapes
- Miscellaneous aspects of dynamics
- Housner's average spectra and earthquake codal loads
- Approximate methods?eigen values and mode shapes
- Monitoring of tall buldings?fft analyzer
- Maintenance of tall buildings
- Instrumentation for monitoring of tall buildings
- Some features of tall buildings
- C. Appendix: mathematical preliminaries
- Matrices
- Singular matrix and rank of a matrix
- Fundamental theorem: rank of matrices
- Minor, cofactor and adjoint of matrices
- Eigen values of a square matrix
- Real symmetric matrix
- Inversion of matrices and solution of simultaneous equations.