1Introduction to Structural Mechanics
1585.2 Live Loads
21.1 Basic Concepts
159Types of Live Loads:
3Key Concepts
160Importance of Live Loads:
4Applications of Structural Mechanics: Recent Advances and Future Directions
161Analysis of Live Loads:
51.2 Types of Structures
162Deterministic Analysis:
61.3 Structural Components
163Probabilistic Analysis:
7Beams:
164Load Combinations in Structural Design:
8Columns:
165Types of Load Combinations:
9Trusses:
166Load Factors:
10Frames:: Foundations:
167Load Combination Rules:
111.4 Load Types and Distribution
1685.3 Wind Loads
12Introduction to Load Types:
1695.4 Seismic Loads
13Load Distribution:
1705.5 Load Combinations and Load Factors
14Analytical Methods and Design Considerations:: Case Studies and Applications:
171Load Combinations:
151.5 Summary
172Load Factors:
161.6 Exercise
173Static Loads and Load Combinations:
17Forces and Moments
174Dynamic Loads and Load Combinations:: Practical Applications:
18Forces:
1755.6 Summary
19Moments:: Analysis and Design:
1765.7 Exercise
202.1 Definition and Representation of Forces
177Structural Analysis: Introduction
21Definition of Forces:
1786.1 Types of Structural Analysis
22Representation of Forces:
1796.2 Determinacy and Stability
23Mathematical Characterization of Forces:
180Determinacy in Structures:
24Types of Forces in Structural Mechanics:: Practical Applications of Forces in Structural Mechanics:
181Stability in Structures:
252.1.1 Scalars and Vectors
182Global Stability:
26Scalars and Vectors:
183Local Stability:: Stability Against Failure Modes:
27Forces:
1846.3 Analysis Techniques
28Moments:
185Analytical Methods:
29Representation of Forces and Moments:
186Computational Methods:
30Equilibrium:
187Advanced Techniques and Applications:: Case Studies and Real-World Applications:
31Analysis of Forces and Moments:
1886.4 Influence Lines
32Applications:
189Theoretical Basis of Influence Lines:
332.1.2 Cartesian and Polar Notations
190Construction Methods:
34Cartesian Notation
191Practical Applications:: Significance in Structural Engineering:
35Polar Notation
1926.5 Structural Modeling
36Conversion between Cartesian and Polar Notations
1936.6 Summary
37Cartesian to Polar Conversion
1946.7 Exercise
38Polar to Cartesian Conversion
195Shear Forces and Bending Moments in Beams
39Applications in Structural Mechanics
1967.1 Distributed Loads
40Cartesian Notation in Statics and Dynamics
197Shear Force and Bending Moment
41Polar Notation in Structural Design
198Distributed Loads
422.1.3 Force Vector Addition
199Types of Distributed Loads: Effects of Distributed Loads on Shear Force and Bending Moment
432.1.4 Force Resolution
2007.2 Point Loads
44Introduction to Force Resolution:
2017.3 Uniformly Varying Loads
45Significance of Force Resolution:
202Shear Forces and Bending Moments in Beams:
46Methods of Force Resolution:
203Uniformly Varying Loads:
47Applications of Force Resolution in Structural Mechanics:
204Effects of Uniformly Varying Loads on Beams:
48Case Study: Force Resolution in Bridge Design:
205Analysis of Beams Subjected to Uniformly Varying Loads:: Example Analysis:
492.1.5 Force Components in 3D Space
2067.4 Concentrated Moments
50Introduction to Force Components in 3D Space
207Fundamental Principles:
51Decomposition of Forces and Moments
208Calculation Methods:: Significance in Structural Analysis:
52Equilibrium Equations in 3D Space
2097.5 Load Distributions on Beams
53Force Components in 3D Structural Analysis
2107.6 Summary
54Moment Components and Structural Stability
2117.7 Exercise
55Analysis Techniques for Force Components
212Stresses and Strains in Structural Elements
56Application of Force Components in Engineering Design
2138.1 Stress-Strain Relationships
57Challenges and Future Directions
214Stress-Strain Curve:
582.2 Resultant and Equilibrium of Forces
215Types of Stress and Strain:
592.3 Moment of a Force
216Factors Affecting Stress-Strain Behavior:: Applications and Implications:
60Types of Moments:
2178.2 Axial Loads and Stress
61Applications in Structural Analysis:
2188.3 Shear Stress and Shear Strain
62Equilibrium and Moment:
219Introduction to Shear Stress and Shear Strain
63Moment Distribution Method:: Structural Stability and Moments:
220Shear Stress
642.4 Couples and Equivalent Force Systems
221Shear Strain
65Couples:
222Behavior of Shear Stress and Shear Strain in Structural Elements
66Equivalent Force Systems:
223Significance of Shear Stress and Shear Strain in Structural Design: Applications of Shear Stress and Shear Strain in Engineering Practice
67Significance in Structural Mechanics:: Practical Applications:
2248.4 Bending Stress and Strain
682.5 Free Body Diagrams
2258.5 Torsional Stress and Strain
692.6 Summary
226Principles of Torsion:
702.7 Exercise
227Torsional Stress and Strain:
71Analysis of Trusses
228Material Behavior under Torsion:
723.1 Introduction to Trusses
229Design Considerations:: Practical Applications:
733.2 Method of Joints
2308.6 Summary
74Basic Principles
2318.7 Exercise
75Procedure
232Deflection and Deformation of Structures
76Example Application: Advantages and Limitations
2339.1 Deflection of Beams
773.2.1 Assumptions and Limitations
2349.2 Energy Methods
78Assumptions: Limitations
235Energy Methods:
793.2.2 Procedure for Joint Analysis
236Strain Energy:
803.2.3 Stability Checks: 3.2.4 Truss Members in Compression and Tension
237Complementary Energy:
813.2.5 Efficiency of Truss Joints
238Principle of Minimum Potential Energy:
823.3 Method of Sections
239Virtual Work Principle for Deflection Calculation:
83Basics of Truss Analysis:
240Application of Energy Methods to Trusses and Frames:: Limitations and Approximations of Energy Methods in Deflection and Deformation of Beams in Structures:
84Procedure of the Method of Sections:
2419.3 Castigliano’s Theorem
85Analysis of Internal Forces:
2429.4 Principle of Virtual Work
86Types of Internal Forces:
243Introduction to Structural Analysis:
87Determining Internal Forces:
244Equilibrium and Virtual Work:
88Special Cases and Considerations:: Applications and Advantages:
245Virtual Displacements:
893.4 Analysis of Plane Trusses
246Work and Energy:
903.5 Truss Deflections and Deformations
247Principle of Virtual Work Formulation:
913.6 Summary
248Application to Beam Deflection Analysis:
923.7 Exercise
249Deflection of Simply Supported Beams:
93Analysis of Beams
250Virtual Displacements in Beam Deflection Analysis:
94Types of Trusses:
251Virtual Work Done by External Forces:
95Analysis of Beams in Trusses:
252Virtual Work Done by Internal Forces:
96Methods of Analysis:
253Bending Moment and Shear Force Distribution:
97Basic Equations and Assumptions:
254Flexural Stiffness and Beam Deflection:
98Load Types and Boundary Conditions:: Example Analysis:
255Derivation of Beam Deflection Equation:
994.1 Types of Beams and Supports
256Application to Deformation of Continuous Beams:
100Types of Supports
257Continuous Beam Deflection Analysis:
101Behavior of Beams and Supports: Design Considerations
258Influence of Support Conditions:
1024.2 Shear Force and Bending Moment Diagrams
259Structural Modeling and Finite Element Analysis:
103Shear Force:
2609.5 Elastic and Plastic Deformations
104Bending Moment:
261Introduction to Beam Deformation:
105Shear Force and Bending Moment Diagrams:
262Elastic Deformation:
106Construction of Shear Force Diagram (SFD):
263Hooke’s Law:
107Construction of Bending Moment Diagram (BMD):
264Deflection Due to Elastic Deformation:
108Sign Convention:: Applications:
265Beam Equations for Elastic Deformation:
1094.2.1 Sign Convention
266Example: Elastic Deformation of a Simply Supported Beam:
110Shear Force and Bending Moment:
267Plastic Deformation:
111Sign Convention:
268Yield Point and Plastic Behavior:
112Convention for Shear Force:
269Stress-Strain Curve:
113Convention for Bending Moment:
270Ductility and Toughness:
114Application of Sign Convention:
271Example: Plastic Deformation in Structural Design:
115Importance of Sign Convention:
272Elastic vs. Plastic Deformation in Beam Deflection:
1164.2.2 Equilibrium Equations
273Elastic Deformation:
117Equilibrium Equations:
274Plastic Deformation:
118Equilibrium of Forces:
275Limitations and Considerations:
119Equilibrium of Moments:
276Structural Analysis and Design Considerations:
120Shear Force and Bending Moment Diagrams:
277Material Selection:
121Shear Force Diagram (SFD):
278Load Assessment:
122Bending Moment Diagram (BMD):
279Structural Redundancy and Redundant Systems:
123Relationship Between Shear Force and Bending Moment:
280Structural Monitoring and Maintenance:
124Application of Equilibrium Equations and Diagrams in Structural Analysis:
2819.6 Summary
1254.2.3 Point of Contraflexure
2829.7 Exercise
126Shear Force and Bending Moment Diagrams:
283Stability of Structures
127Point of Contraflexure:
28410.1 Euler’s Buckling Load
128Analysis of Shear Force and Bending Moment Diagrams:: Practical Applications:
28510.2 Column Stability
1294.2.4 Construction Methods
28610.3 Lateral Torsional Buckling
1304.2.5 Influence of Distributed Loads
287Structural Stability:
131Shear Force and Bending Moment:
288Mechanics of Buckling:
132Influence of Distributed Loads on Shear Force Diagrams:
289Factors Influencing Lateral Torsional Buckling:: Case Studies and Practical Applications:
133Influence of Distributed Loads on Bending Moment Diagrams:
29010.4 Beam Stability
134Analytical Methods for Determining Shear Force and Bending Moment:
29110.5 Frame Stability
135Practical Applications and Structural Design Considerations:
292Principles of Frame Stability:
1364.3 Slope and Deflection of Beams
293Factors Influencing Frame Stability:
1374.4 Analysis of Determinate Beams
294Methods of Analyzing Frame Stability:
138Introduction to Determinate Beams
295Practical Implications in Structural Design:: Case Studies and Examples:
139Types of Determinate Beams
29610.6 Summary
140Analysis Methods for Determinate Beams
29710.7 Exercise
141Principles of Analysis: Applications of Determinate Beam Analysis
298Structural Dynamics
1424.5 Analysis of Indeterminate Beams
29911.1 Basic Concepts
143Introduction to Indeterminate Beams
30011.2 Single Degree of Freedom Systems
144Analysis Methods for Indeterminate Beams
301Basic Concepts and Equations:
145Mathematical Formulation: Practical Applications
302Response of SDOF Systems:
1464.6 Summary
303Damping in SDOF Systems:
1474.7 Exercise
304Dynamic Analysis and Solutions:
148Structural Loads and Load Combinations
305Applications and Importance:: Challenges and Future Directions:
1495.1 Dead Loads
30611.3 Free and Forced Vibrations
150Understanding Dead Loads:
30711.4 Modal Analysis
151Importance of Dead Load Calculation:
30811.5 Response Spectrum Analysis
152Dead Load Calculation Methods:
30911.6 Summary
153Load Combinations and Dead Loads:
31011.7 Exercise
154Load Factors and Load Reduction Factors:
311References
155Importance of Load Combinations:
312Glossary
156Load Combination Factors:
313Index
157Load Combination Examples:
