Study material stress, strain, and deformation
170
Sub Topics
358
MCQs
170
MCOs
256
True/False
149
Fill Blanks
44
Rearrange
133
Matching
80
Comprehensions
142
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Mechanics of Materials 4 topics
1 Basic Concepts and Definitions
- Stress and Strain
- Elasticity and Plasticity
- Hooke's Law
2 Types of Loads and Supports
- Axial Loads
- Shear Loads
- Torsional Loads
- Bending Loads
3 Mechanical Properties of Materials
- Stress-Strain Diagrams
- Elastic Constants
- Modulus of Elasticity
- Poisson's Ratio
- Shear Modulus
- Bulk Modulus
4 Factor of Safety
- Design Considerations
- Application in Engineering Design
02 Stress and Strain 5 topics
1 Normal Stress
- Axial Stress
- Bending Stress
2 Shear Stress
- Direct Shear
- Torsional Shear
- Transverse Shear
3 Normal Strain
- Linear Strain
- Volume Strain
4 Shear Strain
- Angular Deformation
- Relation to Normal Strain
5 Stress-Strain Relationships
- Linear Elastic Materials
- Non-linear Materials
- Viscoelastic Materials
03 Axial Loading 4 topics
1 Statically Determinate and Indeterminate Systems
- Equilibrium Equations
- Compatibility Conditions
2 Axial Deformation
- Homogeneous Bars
- Non-homogeneous Bars
- Composite Bars
3 Thermal Stress and Strain
- Coefficient of Thermal Expansion
- Temperature Effects
- Thermal Stresses in Composite Members
4 Saint-Venant's Principle
- Stress Concentration
- Applications
04 Torsion 4 topics
1 Torsion of Circular Shafts
- Torsion Formula
- Power Transmission
- Angle of Twist
2 Torsion of Non-circular Sections
- Rectangular Sections
- Thin-walled Sections
3 Torsion of Thin-walled Tubes
- Open Sections
- Closed Sections
4 Combined Loading with Torsion
- Torsion and Axial Loading
- Torsion and Bending
05 Bending 4 topics
1 Pure Bending
- Flexure Formula
- Elastic Curve
2 Bending of Symmetric Sections
- Rectangular Sections
- Circular Sections
- I-Sections
3 Bending of Asymmetric Sections
- Unsymmetrical Bending
- Principal Axes
4 Composite Beams
- Transformed Section Method
- Reinforced Concrete Beams
06 Transverse Shear 4 topics
1 Shear Stress in Beams
- Shear Flow
- Shear Formula
2 Shear Stress Distribution
- Rectangular Sections
- Circular Sections
- I-Sections
- T-Sections
3 Shear Center
- Thin-walled Open Sections
- Thin-walled Closed Sections
4 Built-up Beams
- Fasteners and Connectors
- Shear Lag
07 Combined Loadings 4 topics
1 Thin-walled Pressure Vessels
- Cylindrical Vessels
- Spherical Vessels
2 Combined Axial and Bending Loads
- Eccentric Loading
- Kern of a Section
3 Combined Torsion and Bending
- Shafts with Transverse Loads
- Power Screws
4 General State of Stress
- Three-dimensional Stress States
- Principal Stresses and Strains
08 Stress Transformation 4 topics
1 Plane Stress
- Stress Components
- Transformation Equations
2 Principal Stresses
- Maximum Normal Stress
- Maximum Shear Stress
3 Mohr's Circle for Stress
- Construction and Interpretation
- Applications
4 Plane Strain
- Strain Components
- Mohr's Circle for Strain
09 Deflection of Beams 5 topics
1 Differential Equation of the Elastic Curve
- Derivation
- Boundary Conditions
2 Integration Method
- Double Integration
- Examples of Various Loading Cases
3 Moment-Area Method
- First Moment-Area Theorem
- Second Moment-Area Theorem
4 Superposition Method
- Principle of Superposition
- Application to Complex Loading
5 Energy Methods
- Castigliano's Theorem
- Unit Load Method
10 Statically Indeterminate Beams 4 topics
1 Force Method
- Redundant Supports
- Compatibility Conditions
2 Slope-Deflection Method
- Derivation of Equations
- Applications to Continuous Beams
3 Moment Distribution Method
- Fixed-End Moments
- Distribution Factors
4 Three-Moment Equation
- Derivation
- Application to Continuous Beams
11 Columns 5 topics
1 Buckling and Stability
- Critical Load
- Stability Criteria
2 Euler's Formula
- Derivation
- End Conditions
- Effective Length
3 Inelastic Buckling
- Tangent Modulus
- Reduced Modulus
4 Design Formulas for Columns
- AISC Formulas
- Secant Formula
- Empirical Formulas
5 Eccentric Loading of Columns
- Secant Formula
- Interaction Formulas
12 Energy Methods 4 topics
1 Strain Energy
- Strain Energy Density
- Strain Energy for Various Loading Types
2 Castigliano's Theorems
- First Theorem
- Second Theorem
3 Virtual Work
- Principle of Virtual Work
- Applications
4 Impact Loading
- Dynamic Loading Factors
- Stress Wave Propagation
13 Failure Theories 4 topics
1 Static Failure Theories
- Maximum Normal Stress Theory
- Maximum Shear Stress Theory (Tresca)
- Maximum Strain Energy Theory (von Mises)
- Maximum Distortion Energy Theory
- Mohr's Theory
2 Fracture Mechanics
- Stress Intensity Factor
- Fracture Toughness
- Crack Propagation
3 Fatigue Failure
- S-N Curves
- Endurance Limit
- Fatigue Life Prediction
- Cumulative Damage
4 Creep and Relaxation
- Creep Curves
- Stress Relaxation
- Design for Creep Resistance
14 Composite Materials 4 topics
1 Types of Composite Materials
- Fiber-Reinforced Composites
- Particulate Composites
- Laminated Composites
2 Mechanical Behavior of Composites
- Micromechanics
- Macromechanics
3 Stress-Strain Relations for Orthotropic Materials
- Constitutive Equations
- Transformation of Properties
4 Laminate Theory
- Classical Lamination Theory
- Laminate Stiffness
- Strength of Laminates
15 Experimental Stress Analysis 5 topics
1 Strain Gauges
- Types and Applications
- Wheatstone Bridge Circuits
- Temperature Compensation
2 Photoelasticity
- Optical Stress Analysis
- Fringe Patterns
- Stress Separation Techniques
3 Brittle Coating Methods
- Application Techniques
- Interpretation of Results
4 Digital Image Correlation
- Principles
- Applications
5 Non-Destructive Testing
- Ultrasonic Testing
- Radiographic Testing
- Acoustic Emission
16 Advanced Topics 4 topics
1 Elasticity
- Equations of Equilibrium
- Compatibility Equations
- Boundary Conditions
2 Plasticity
- Yield Criteria
- Flow Rules
- Hardening
3 Viscoelasticity
- Creep Compliance
- Relaxation Modulus
- Models of Viscoelastic Behavior
4 Finite Element Methods
- Basic Concepts
- Element Types
- Boundary Conditions
- Applications to Mechanics of Materials
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