Unit 1956: Engineering Mechanics Fundamentals

1. Introduction to Engineering Mechanics

• Definition and scope
• Importance in engineering design and analysis
• Types of structures and mechanical systems
• Overview of forces, moments, and equilibrium

2. Statics

2.1 Fundamentals of Statics

• Force systems: concurrent, non-concurrent, coplanar, and non-coplanar
• Vector and scalar representation of forces

2.2 Moments

• Definition and calculation of moments
• Varignon's theorem

2.3 Free-Body Diagrams (FBD)

• Drawing and interpreting FBDs
• Isolating bodies for analysis

2.4 Equilibrium Conditions

• Equations of equilibrium in 2D and 3D
• Applications and problem-solving strategies

3. Particle Equilibrium

• Forces acting on particles
• Conditions for equilibrium under concurrent and non-concurrent forces
• Solving equilibrium problems involving particles

4. Rigid Body Equilibrium

• External forces and distributed loads
• Moments and couples
• Equilibrium equations for rigid bodies
• Applications to beams, frames, and machines

5. Friction

• Types of friction: static and kinetic
• Laws of friction
• Angle of friction and angle of repose
• Applications: wedges, belts, and brakes
• Problem-solving involving frictional forces

6. Center of Gravity and Centroids

• Definitions and distinctions
• Methods for finding centers of gravity and centroids
• Composite bodies and symmetry considerations
• Applications in structural analysis

7. Trusses and Frames

7.1 Trusses

• Types: statically determinate and indeterminate
• Method of joints
• Method of sections

7.2 Frames and Machines

• Definitions and classifications
• Load transfer and analysis
• Virtual work method for deflections

8. Moments of Inertia

• Concept and physical significance
• Calculation for standard shapes
• Parallel axis and perpendicular axis theorems
• Applications in bending and torsion analysis

9. Dynamics

9.1 Kinematics of Particles

• Displacement, velocity, and acceleration
• Rectilinear and curvilinear motion
• Relative motion analysis

9.2 Kinetics of Particles

• Newton’s second law in vector form
• Equations of motion
• Work-energy principle
• Impulse and momentum

10. Energy Methods

• Principle of work and energy
• Potential and kinetic energy
• Conservation of energy in mechanical systems
• Application to problem solving in engineering mechanics