Engineering Fundamentals

Core Engineering Sciences

3.1.

Statics

3.1.1.

Force Systems and Vectors

3.1.1.1.

3.1.1.2.

3.1.1.3.

3.1.1.4.

3.1.2.

Equilibrium of a Particle

3.1.2.1.

Free-Body Diagrams

3.1.2.2.

Equilibrium Equations

3.1.2.3.

Two-Dimensional Problems

3.1.2.4.

Three-Dimensional Problems

3.1.3.

3.1.3.1.

3.1.3.2.

3.1.3.3.

3.1.3.4.

3.1.4.

Equilibrium of Rigid Bodies

3.1.4.1.

Two-Dimensional Equilibrium

3.1.4.2.

Three-Dimensional Equilibrium

3.1.4.3.

Support Reactions

3.1.4.4.

Constraints and Degrees of Freedom

3.1.5.

3.1.5.1.

3.1.5.1.1.

3.1.5.1.2.

3.1.5.1.3.

3.1.5.2.

3.1.5.2.1.

3.1.5.2.2.

3.1.6.

3.1.6.1.

Types of Distributed Loads

3.1.6.2.

Resultant of Distributed Loads

3.1.6.3.

Load Distribution on Beams

3.1.7.

Centroids and Centers of Gravity

3.1.7.1.

Centroids of Areas

3.1.7.2.

Centroids of Composite Areas

3.1.7.3.

3.1.8.

3.1.8.1.

3.1.8.2.

3.1.8.3.

3.1.8.4.

Applications of Friction

3.1.9.

Moments of Inertia

3.1.9.1.

Area Moment of Inertia

3.1.9.2.

Parallel Axis Theorem

3.1.9.3.

Mass Moment of Inertia

3.1.9.4.

Radius of Gyration

3.2.

Dynamics

3.2.1.

Kinematics of Particles

3.2.1.1.

3.2.1.2.

3.2.1.3.

3.2.1.4.

3.2.2.

Kinetics of Particles

3.2.2.1.

Newton's Second Law

3.2.2.2.

Force and Acceleration

3.2.2.3.

Work and Energy Methods

3.2.2.4.

Impulse and Momentum Methods

3.2.3.

Kinematics of Rigid Bodies

3.2.3.1.

Translation

3.2.3.2.

Rotation About a Fixed Axis

3.2.3.3.

General Plane Motion

3.2.3.4.

Instantaneous Center of Rotation

3.2.4.

Kinetics of Rigid Bodies

3.2.4.1.

Planar Motion

3.2.4.2.

Force, Mass, and Acceleration

3.2.4.3.

Work-Energy Principle for Rigid Bodies

3.2.4.4.

Impulse-Momentum Principle for Rigid Bodies

3.2.5.

3.2.5.1.

3.2.5.2.

3.2.5.3.

3.2.5.4.

3.2.5.5.

3.3.

Mechanics of Materials

3.3.1.

3.3.1.1.

3.3.1.2.

3.3.1.3.

3.3.1.4.

3.3.1.5.

Stress-Strain Relationships

3.3.2.

Mechanical Properties of Materials

3.3.2.1.

Elastic Deformation

3.3.2.2.

Plastic Deformation

3.3.2.3.

Stress-Strain Diagrams

3.3.2.4.

Hooke's Law

3.3.2.5.

Poisson's Ratio

3.3.2.6.

Modulus of Elasticity

3.3.2.7.

Yield Strength

3.3.2.8.

Ultimate Strength

3.3.3.

Axial Loading

3.3.3.1.

Deformation of Axially Loaded Members

3.3.3.2.

Statically Indeterminate Problems

3.3.3.3.

Thermal Stresses

3.3.4.

Torsion

3.3.4.1.

Torsion of Circular Shafts

3.3.4.2.

Shear Stress in Torsion

3.3.4.3.

Angle of Twist

3.3.4.4.

Power Transmission

3.3.5.

Bending

3.3.5.1.

Shear and Moment Diagrams

3.3.5.2.

Bending Stress in Beams

3.3.5.3.

Flexure Formula

3.3.5.4.

Shear Stress in Beams

3.3.5.5.

3.3.6.

3.3.6.1.

3.3.6.2.

3.3.6.3.

3.3.7.

3.3.7.1.

Superposition Principle

3.3.7.2.

Combined Axial and Bending Loads

3.3.7.3.

Combined Bending and Torsional Loads

3.3.8.

Stress Transformation

3.3.8.1.

Transformation Equations

3.3.8.2.

Principal Stresses

3.3.8.3.

Principal Strains

3.3.8.4.

Mohr's Circle for Stress

3.3.8.5.

Mohr's Circle for Strain

3.3.9.

Beam Deflection

3.3.9.1.

Differential Equations of the Deflection Curve

3.3.9.2.

3.3.9.3.

3.3.9.4.

3.3.9.5.

3.3.10.

3.3.10.1.

Euler's Buckling Theory

3.3.10.2.

Critical Load Calculation

3.3.10.3.

Effective Length

3.3.10.4.

Column Design

3.4.

Engineering Thermodynamics

3.4.1.

Properties of Pure Substances

3.4.1.1.

3.4.1.2.

3.4.1.3.

3.4.1.4.

3.4.2.

3.4.2.1.

3.4.2.2.

Work in Thermodynamic Processes

3.4.2.3.

Heat Transfer Mechanisms

3.4.3.

First Law for Closed Systems

3.4.3.1.

Control Mass Analysis

3.4.3.2.

Energy Balance Equations

3.4.3.3.

Specific Heats

3.4.4.

First Law for Open Systems

3.4.4.1.

Control Volume Analysis

3.4.4.2.

Steady-Flow Processes

3.4.4.3.

Mass Balance

3.4.5.

Second Law and Entropy Analysis

3.4.5.1.

Entropy Change in Processes

3.4.5.2.

Reversible Processes

3.4.5.3.

Irreversible Processes

3.4.5.4.

3.4.6.

3.4.6.1.

3.4.6.2.

3.4.6.3.

3.4.6.4.

3.4.6.5.

3.4.7.

3.4.7.1.

Vapor-Compression Refrigeration Cycle

3.4.7.2.

Coefficient of Performance

3.4.7.3.

3.5.

3.5.1.

3.5.1.1.

3.5.1.2.

3.5.1.3.

3.5.1.4.

3.5.1.5.

3.5.1.6.

3.5.2.

3.5.2.1.

Pressure Variation in a Fluid

3.5.2.2.

Hydrostatic Pressure

3.5.2.3.

Manometry

3.5.2.4.

Buoyancy

3.5.2.5.

Stability of Floating Bodies

3.5.3.

Fluid Kinematics

3.5.3.1.

Flow Descriptions

3.5.3.1.1.

Lagrangian Description

3.5.3.1.2.

3.5.3.2.

3.5.3.3.

3.5.3.4.

3.5.3.5.

3.5.4.

Bernoulli and Energy Equations

3.5.4.1.

Bernoulli's Equation

3.5.4.2.

Applications of Bernoulli's Principle

3.5.4.3.

Energy Equation

3.5.4.4.

Hydraulic Grade Line

3.5.5.

Momentum Analysis of Flow Systems

3.5.5.1.

Control Volume Approach

3.5.5.2.

Conservation of Momentum

3.5.5.3.

Forces on Pipes and Nozzles

3.5.6.

Dimensional Analysis and Similitude

3.5.6.1.

Buckingham Pi Theorem

3.5.6.2.

Dimensionless Numbers

3.5.6.3.

Model Testing

3.5.6.4.

Scaling Laws

3.5.7.

Viscous Flow in Pipes

3.5.7.1.

3.5.7.2.

3.5.7.3.

3.5.7.4.

3.5.7.5.

3.5.7.6.

3.5.8.

3.5.8.1.

Flow Over Flat Plates

3.5.8.2.

3.5.8.3.

3.5.8.4.

3.6.

3.6.1.

3.6.1.1.

3.6.1.2.

3.6.1.3.

3.6.1.4.

3.6.2.

3.6.2.1.

3.6.2.2.

3.6.2.3.

3.6.2.4.

3.6.2.5.

3.6.3.

Simple Resistive Circuits

3.6.3.1.

Series Circuits

3.6.3.2.

Parallel Circuits

3.6.3.3.

Series-Parallel Circuits

3.6.3.4.

Voltage Division

3.6.3.5.

Current Division

3.6.4.

Circuit Laws

3.6.4.1.

Kirchhoff's Current Law

3.6.4.2.

Kirchhoff's Voltage Law

3.6.4.3.

Ohm's Law

3.6.5.

Nodal and Mesh Analysis

3.6.5.1.

3.6.5.2.

3.6.5.3.

3.6.5.4.

3.6.6.

3.6.6.1.

3.6.6.2.

3.6.6.3.

Superposition Principle

3.6.6.4.

Maximum Power Transfer Theorem

3.6.7.

3.6.7.1.

3.6.7.2.

3.6.7.3.

3.6.7.4.

3.6.7.5.

3.6.8.

Second-Order Circuits

3.6.8.1.

RLC Circuits

3.6.8.2.

Characteristic Equation

3.6.8.3.

Overdamped Response

3.6.8.4.

Critically Damped Response

3.6.8.5.

Underdamped Response

3.6.9.

Sinusoidal Steady-State Analysis

3.6.9.1.

3.6.9.2.

3.6.9.3.

3.6.9.4.

3.6.9.5.

Resonance in AC Circuits

3.6.10.

3.6.10.1.

3.6.10.2.

3.6.10.3.

3.6.10.4.

3.6.10.5.

3.6.10.6.

3.7.

Materials Science and Engineering

3.7.1.

Atomic Structure and Interatomic Bonding

3.7.1.1.

3.7.1.1.1.

3.7.1.1.2.

3.7.1.1.3.

3.7.1.1.4.

Van der Waals Bonding

3.7.1.2.

Crystal Structures

3.7.1.3.

Crystal Systems

3.7.2.

Structure of Crystalline Solids

3.7.2.1.

Unit Cells

3.7.2.2.

Lattice Parameters

3.7.2.3.

Miller Indices

3.7.2.4.

Crystallographic Directions

3.7.2.5.

Crystallographic Planes

3.7.3.

Imperfections in Solids

3.7.3.1.

3.7.3.1.1.

3.7.3.1.2.

3.7.3.1.3.

3.7.3.2.

3.7.3.2.1.

3.7.3.2.2.

3.7.3.3.

3.7.3.4.

3.7.4.

3.7.4.1.

Mechanisms of Diffusion

3.7.4.2.

Fick's First Law

3.7.4.3.

Fick's Second Law

3.7.4.4.

Factors Affecting Diffusion

3.7.5.

Mechanical Properties

3.7.5.1.

3.7.5.2.

3.7.5.3.

3.7.5.4.

3.7.5.5.

3.7.5.6.

3.7.5.7.

3.7.5.8.

3.7.6.

Dislocations and Strengthening Mechanisms

3.7.6.1.

Dislocation Motion

3.7.6.2.

Strengthening by Grain Size Reduction

3.7.6.3.

Solid Solution Strengthening

3.7.6.4.

Work Hardening

3.7.6.5.

Precipitation Hardening

3.7.7.

Phase Diagrams

3.7.7.1.

Binary Phase Diagrams

3.7.7.2.

3.7.7.3.

3.7.7.4.

3.7.7.5.

3.7.8.

Phase Transformations

3.7.8.1.

Nucleation and Growth

3.7.8.2.

Time-Temperature-Transformation Diagrams

3.7.8.3.

Continuous Cooling Transformation Diagrams

3.7.9.

Types and Applications of Materials

3.7.9.1.

3.7.9.1.1.

3.7.9.1.1.1.

3.7.9.1.1.2.

3.7.9.1.1.3.

3.7.9.1.2.

3.7.9.1.2.1.

3.7.9.1.2.2.

3.7.9.1.2.3.

3.7.9.2.

3.7.9.2.1.

Structure and Properties

3.7.9.2.2.

Traditional Ceramics

3.7.9.2.3.

Advanced Ceramics

3.7.9.3.

Polymers

3.7.9.3.1.

Structure and Properties

3.7.9.3.2.

3.7.9.3.3.

3.7.9.3.4.

3.7.9.4.

3.7.9.4.1.

Fiber-Reinforced Composites

3.7.9.4.2.

Particle-Reinforced Composites

3.7.9.4.3.

Structural Composites

3.7.9.4.4.

Properties and Applications

2. Foundational Physical Sciences

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4. Engineering Skills and Professional Practice