Unit 2174: Mechanics of Materials

1. Introduction to Mechanics of Materials

• Definition and scope of mechanics of materials
• Fundamental concepts: stress, strain, deformation
• Types of materials and their properties
• Importance of mechanics of materials in engineering

2. Stress and Strain Analysis

• Definition of stress and types (normal, shear)
• Definition of strain and types (normal, shear)
• Stress-strain relationship and material deformation
• Elastic and plastic deformation
• Stress distribution in simple loaded members

3. Mechanical Properties of Materials

• Elasticity and Hooke's Law
• Plasticity and yield point
• Ductility and brittleness
• Toughness and impact resistance
• Stress-strain curves and material characterization

4. Axial Loading and Torsion

• Axial loading: tensile and compressive forces
• Calculation of axial stress and strain
• Torsion: torque and twisting moment
• Shear stress and shear strain under torsion
• Angle of twist and torsional deformation in shafts

5. Bending and Shear Forces

• Introduction to beams and loading types
• Bending moments and shear forces in beams
• Flexural stress and bending stress formula
• Shear stress distribution in beams
• Beam deflection and methods of calculation

6. Deflection and Stiffness

• Factors affecting deflection in structural members
• Relationship between load, material properties, and deflection
• Modulus of elasticity and moment of inertia
• Concept of stiffness and its engineering significance

7. Buckling and Stability

• Stability of compressed members
• Euler's critical buckling load derivation and application
• Factors affecting buckling: length, cross-section, material
• Modes of buckling and slenderness ratio

8. Combined Loading and Stress Transformation

• Types of combined loading (axial, bending, torsion)
• Superposition principle for stress analysis
• Stress transformation equations
• Mohr’s circle for plane stress
• Principal stresses and maximum shear stresses

9. Failure Theories

• Importance of failure prediction
• Maximum normal stress theory
• Maximum shear stress (Tresca) theory
• von Mises (Distortion energy) criterion
• Comparison of failure theories and application

10. Fatigue and Fracture Mechanics

• Concept of fatigue and cyclic loading
• S-N curves and fatigue life prediction
• Factors influencing fatigue strength
• Introduction to fracture mechanics
• Crack propagation and critical stress intensity factors
• Design considerations to prevent fatigue failure