Mechanical Engineering

Chapter 1

Physics Basics

13 Videos

17 Minutes

1:21

Introduction to Scalers

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1:17

Vector or Cross Product

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1:21

Introduction to Vectors

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1:10

Units and Standards of Measurement

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1:52

Accuracy and Precision

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1:44

Rules of Significant Figures

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1:20

Random and Systematic Errors

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1:31

Position and Displacement

431 views

1:00

Position and Displacement Vectors

466 views

1:19

Mass and Weight

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0:55

Acceleration due to Gravity on Earth

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1:10

Tension

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1:16

Gravitational Force

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Chapter 1

An Introduction to Statics

10 Videos

14 Minutes

1:28

An Introduction to Mechanics

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1:28

Basic Concept

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1:20

Newton’s Law of Motion

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1:24

Newton’s Law of Gravitational Attraction

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1:27

Units of Measurement

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1:29

International System of Units

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1:24

Numerical Calculations

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1:28

Accuracy, limits, and approximation

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1:23

Dimensional Analysis

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1:28

Problem Solving in Statics

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Chapter 2

Force Vectors

17 Videos

24 Minutes

1:22

Scalar and Vectors

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1:20

Vector Operations

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1:25

Introduction to force

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1:22

Force Classification

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1:23

Vector Addition of Forces

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1:20

Two-Dimensional Force System

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1:29

Two-Dimensional Force System: Problem Solving

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1:28

Scalar Notation

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1:28

Cartesian Vector Notation

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1:29

Direction Cosines of a Vector

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1:30

Three-Dimensional Force System

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1:30

Three-Dimensional Force System:Problem Solving

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1:29

Position Vectors

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1:26

Force Vector along a Line

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1:29

Dot Product

551 views

1:21

Dot Product: Problem Solving

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1:25

Cross Product

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Chapter 3

Equilibrium of a Particle

6 Videos

8 Minutes

1:23

Equilibrium Conditions for a Particle

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1:28

Free-body Diagram

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1:22

Steps for Free-Body Diagram

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1:30

Free-body Diagrams: Problem Solving

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1:25

Coplanar Forces

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1:30

Categories of Equilibrium

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Chapter 4

Force System Resultants

20 Videos

28 Minutes

1:18

Moment of a Force: Scalar Formulation

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1:29

Moment of a Force: Problem Solving

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1:31

Resultant Moment: Scalar Formulation

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1:27

Moment of a Force: Vector Formulation

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1:26

Cartesian Form for Vector Formulation

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1:30

Resultant Moment: Vector Formulation

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1:20

Principle of Moments

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1:30

Principle of Moments: Problem Solving

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1:28

Moment of a Force About an Axis: Scalar

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1:29

Moment of a Force About an Axis: Vector

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1:29

Couple

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1:21

Couples: Scalar and Vector Formulation

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1:28

Equivalent Couples

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1:30

Moment of a Couple: Problem Solving

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1:16

System of Forces and Couples

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1:18

Simplification of a Force and Couple System I

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1:23

Simplification of a Force and Couple System: II

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1:19

Distributed Loads

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1:29

Load along a Single Axis

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1:21

Distributed Loads: Problem Solving

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Chapter 5

Equilibrium of a Rigid Body

9 Videos

13 Minutes

1:28

Conditions of Equilibrium

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1:30

Support Reactions

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1:25

Internal Forces and Center of Gravity

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1:31

Alternative Sets of Equilibrium Equations

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1:30

Two Force Member

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1:27

Three Force Member

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1:30

Equations of Equilibrium in Three Dimensions

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1:27

Support Reactions in Three Dimensions

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1:26

Constraints and Statical Determinacy

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Chapter 6

Structural Analysis

17 Videos

24 Minutes

1:30

Introduction to Structures

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1:21

Simple Trusses

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1:30

Method of Joints

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1:30

Method of Joints: Problem Solving I

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Method of Joints: Problem Solving II

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1:30

Zero-Force Member

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1:30

Method of Sections

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1:27

Method of Sections: Problem Solving I

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1:30

Method of Sections: Problem Solving II

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1:25

Space Trusses

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1:29

Space Trusses: Problem Solving

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1:30

Frames

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1:24

Frames: Problem Solving I

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1:26

Frames: Problem Solving II

360 views

1:19

Machines

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1:22

Machines: Problem Solving I

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1:30

Machines: Problem Solving II

482 views

Chapter 7

Internal Forces

14 Videos

19 Minutes

1:30

Sign Convention

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1:14

Normal and Shear Force

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1:20

Bending and Torsional Moments

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1:28

Internal Loadings in Structural Members: Problem Solving

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1:30

Beams

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1:27

Shear Diagram

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1:30

Bending Moment Diagram

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1:23

Relation Between the Distributed Load and Shear

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1:22

Relation Between the Shear and Bending Moment

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1:24

Shear and Bending Moment Diagram: Problem Solving

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1:28

Cable Subjected to Concentrated Loads

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1:24

Cable Subjected to a Distributed Load

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1:13

Cable Subjected to Its Own Weight

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1:29

Cable: Problem Solving

453 views

Chapter 8

Friction

19 Videos

26 Minutes

1:30

Dry Friction

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1:18

Static Friction

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1:26

Kinetic Friction

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1:21

Characteristics of Dry Friction

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1:27

Types of Friction Problems

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1:21

Friction: Problem Solving

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1:24

Wedges

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1:17

Frictional Forces on Screws

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1:21

Upward Impending Motion

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1:16

Self-Locking Screw

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1:21

Screw: Problem Solving

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1:28

Frictional Forces on Flat Belts

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1:28

Flat Belts: Problem Solving

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1:23

Pivot Bearings

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1:23

Collar Bearings

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1:23

Journal Bearings

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1:24

Bearings: Problem Solving

374 views

1:21

Rolling Resistance

436 views

1:17

Rolling Resistance: Problem Solving

565 views

Chapter 9

Center of Gravity and Centroid

13 Videos

14 Minutes

1:15

Center of Gravity

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0:59

Center of Mass

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1:16

Centroid of a Body

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1:03

Centroid of a Body: Problem Solving

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1:16

Centroid for the Paraboloid of Revolution

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0:55

Composite Bodies

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1:10

Theorems of Pappus and Guldinus

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1:12

Theorems of Pappus and Guldinus: Problem Solving

886 views

1:13

Resultant of a General Distributed Loading

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1:14

Fluid Pressure

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1:05

Fluid Pressure over Flat Plate of Constant Width

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1:12

Fluid Pressure over Curved Plate of Constant Width

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1:02

Fluid Pressure over Flat Plate of Variable Width

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Chapter 10

Moment of Inertia

12 Videos

14 Minutes

1:17

Moments of Inertia for Areas

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1:12

Parallel-Axis Theorem for an Area

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1:12

Radius of Gyration of an Area

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1:14

Principal Moments of Area

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1:14

Moments of Inertia: Problem Solving

816 views

1:20

Moments of Inertia for Composite Areas

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1:13

Product of Inertia for an Area

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1:18

Moments of Inertia for an Area about Inclined Axes

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1:10

Mohr's Circle for Moments of Inertia

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1:14

Mohr's Circle for Moments of Inertia: Problem Solving

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1:10

Mass Moment of Inertia

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1:13

Mass Moment of Inertia: Problem Solving

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Chapter 11

Virtual Work

12 Videos

14 Minutes

1:14

Work

557 views

1:12

Work of a Couple Moment

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1:20

Virtual Work

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1:06

Virtual Work for a System of Connected Rigid Bodies

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1:13

Principle of Virtual Work: Problem Solving

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1:14

Mechanical Efficiency of Real Machines

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1:03

Conservative Forces

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1:09

Potential Energy

798 views

1:16

Potential-Energy Criterion for Equilibrium

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1:23

Stability of Equilibrium Configuration

604 views

1:24

One-Degree-of-Freedom System

607 views

1:13

Stability of Equilibrium Configuration: Problem Solving

753 views

Chapter 12

Kinematics of a Particle

4 Videos

5 Minutes

1:23

Curvilinear Motion: Rectangular Components

820 views

1:23

Motion of a Projectile

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1:27

Curvilinear Motion: Normal and Tangential Components

591 views

1:27

Curvilinear Motion: Polar Coordinates

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Chapter 13

Kinetics of a Particle: Force and Acceleration

5 Videos

6 Minutes

1:21

Equations of Motion: Rectangular Coordinates and Cylindrical Coordinates

525 views

1:10

Equations of Motion: Normal and Tangetial Components

786 views

1:24

Normal and Tangetial Components: Problem Solving

370 views

1:14

Equation of Motion: Center of Mass

378 views

1:17

Central-Force Motion

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Chapter 14

Kinetics of a Particle: Impulse and Momentum

12 Videos

16 Minutes

1:20

Principle of Linear Impulse and Momentum for a Single Particle

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1:23

Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving

754 views

1:21

Principle of Linear Impulse and Momentum for a System of Particles

416 views

1:28

Conservation of Linear Momentum for a System of Particles

384 views

1:30

Impact

311 views

1:30

Types of Impact

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1:26

Impact: Problem Solving

339 views

1:21

Angular Momentum

497 views

1:21

Relation Between Moment of a Force and Angular Momentum

899 views

1:23

Principle of Angular Impulse and Momentum

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1:19

Principle of Angular Impulse and Momentum: Problem Solving

348 views

1:27

Steady Flow of a Fluid Stream

467 views

Chapter 15

Planar Kinematics of a Rigid Body

13 Videos

17 Minutes

1:22

Planar Rigid-Body Motion

679 views

1:26

Rotational Motion about a Fixed Axis

954 views

1:30

Kinematic Equations for Rotation

516 views

1:24

Absolute Motion Analysis- General Plane Motion

361 views

1:24

Relative Motion Analysis – Velocity

518 views

1:20

Instantaneous Center of Zero Velocity

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1:10

Relative Motion Analysis – Acceleration

545 views

1:25

Relative Motion Analysis using Rotating Axes

628 views

1:22

Relative Motion Analysis using Rotating Axes – Acceleration

485 views

1:29

Relative Motion Analysis using Rotating Axes-Problem Solving

515 views

1:18

Equation of Motion: Rotation About a Fixed Axis

322 views

1:22

Equation of Motion: General Plane motion

376 views

1:16

Equation of Motion: General Plane motion – Problem Solving

310 views

Chapter 16

3-Dimensional Kinetics of a Rigid Body

10 Videos

12 Minutes

1:23

Moments and Product of Inertia

733 views

1:24

Inertia Tensor

794 views

1:20

Moment of Inertia about an Arbitrary Axis

449 views

1:11

Angular Momentum about an Arbitrary Axis

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1:09

Angular Momentum and Principle Axes of Inertia

330 views

1:15

Principle of Impulse and Moment

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1:13

Kinetic Energy for a Rigid Body

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1:12

Equation of Motion for a Rigid Body

451 views

1:19

Euler Equations of Motion

412 views

1:15

Torque Free Motion

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Chapter 17

Concept of Stress

8 Videos

10 Minutes

1:19

Normal Stress

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1:19

Shearing Stress

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1:22

Bearing Stress

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1:04

Applications of Stress

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1:16

Stress on an Oblique Plane

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1:15

Stress: General Loading Conditions

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1:23

Components of Stress

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1:22

Design Consideration

390 views

Chapter 18

Stress and Strain – Axial Loading

20 Videos

26 Minutes

1:20

Normal Strain under Axial Loading

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1:10

Stress-Strain Diagram

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1:24

Stress-Strain Diagram – Ductile Materials

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1:24

Stress-Strain Diagram – Brittle Materials

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1:28

True Stress and True Strain

532 views

1:26

Hooke’s Law

838 views

1:21

Plastic Behavior

344 views

1:21

Fatigue

325 views

1:11

Deformation of Member under Multiple Loadings

285 views

1:16

Statically Indeterminate Problem Solving

564 views

1:19

Thermal Strain

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1:12

Temperature Dependent Deformation

260 views

1:23

Poisson’s Ratio

710 views

1:22

Generalized Hooke’s Law

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1:21

Bulk Modulus

505 views

1:20

Shearing Strain

810 views

1:15

Relation between Poisson’s ratio, Modulus of Elasticity and Modulus of Rigidity

388 views

1:18

Saint-Venant’s Principle

992 views

1:24

Stress Concentrations

450 views

1:26

Residual Stresses

364 views

Chapter 19

Torsion

12 Videos

15 Minutes

1:18

Stresses in a Shaft

638 views

1:10

Deformation in a Circular Shaft

568 views

1:13

Circular Shaft – Stresses in Linear Range

463 views

1:13

Angle of Twist – Elastic Range

522 views

1:13

Angle of Twist: Problem Solving

510 views

1:16

Design of Transmission Shafts

559 views

1:18

Stress Concentrations in Circular Shafts

328 views

1:20

Plastic Deformation in Circular Shafts

329 views

1:24

Circular Shafts – Elastoplastic Materials

261 views

1:10

Residual Stresses in Circular Shafts

337 views

1:16

Torsion of Noncircular Members

306 views

1:15

Thin-Walled Hollow Shafts

333 views

Chapter 20

Bending

18 Videos

22 Minutes

1:10

Bending

569 views

1:07

Symmetric Member in Bending

370 views

1:18

Deformations in a Symmetric Member in Bending

339 views

1:16

Flexural Stress

460 views

1:21

Deformations in a Transverse Cross Section

399 views

1:09

Bending of Material: Problem Solving

336 views

1:11

Bending of Members Made of Several Materials

367 views

1:13

Stress Concentrations

406 views

1:14

Plastic Deformations

231 views

1:19

Members Made of Elastoplastic Material

232 views

1:21

Plastic Deformations of Members with a Single Plane of Symmetry

206 views

1:18

Residual Stresses in Bending

370 views

1:16

Eccentric Axial Loading in a Plane of Symmetry

369 views

1:18

Unsymmetric Bending

592 views

1:15

Unsymmetric Bending – Angle of Neutral Axis

595 views

1:12

General Case of Eccentric Axial Loading

318 views

1:14

Bending of Curved Members – Strain Analysis

314 views

1:16

Bending of Curved Members – Neutral Surface

328 views

Chapter 21

Analysis and Design of Beams for Bending

4 Videos

5 Minutes

1:23

Design of Prismatic Beams for Bending

470 views

1:15

Prismatic Beams: Problem Solving

281 views

1:26

Singularity Functions for Shear

257 views

1:18

Singularity Functions for Bending Moment

352 views

Chapter 22

Shearing Stresses in Beams and Thin-Walled Members

6 Videos

7 Minutes

1:16

Shear on the Horizontal Face of a Beam Element

356 views

1:11

Distribution of Stresses in a Narrow Rectangular Beam

321 views

1:14

Shearing Stresses in a Beam: Problem Solving

379 views

1:19

Plastic Deformations

246 views

1:23

Unsymmetric Loading of Thin-Walled Members

230 views

1:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

258 views

Chapter 23

Transformations of Stress and Strain

10 Videos

13 Minutes

1:18

Transformation of Plane Stress

463 views

1:24

Principal Stresses

491 views

1:15

Principal Stresses: Problem Solving

366 views

1:23

Mohr's Circle for Plane Stress

702 views

1:21

General State of Stress

393 views

1:25

Yield Criteria for Ductile Materials under Plane Stress

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1:12

Transformation of Plane Strain

324 views

1:18

Mohr's Circle for Plane Strain

861 views

1:29

Three-Dimensional Analysis of Strain

392 views

1:27

Measurements of Strain

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Chapter 24

Principal Stresses under a Given Loading

4 Videos

4 Minutes

1:11

Principal Stresses in a Beam

494 views

1:15

Design of Transmission Shafts – Stress Analysis

562 views

1:09

Transmission Shafts: Problem Solving

358 views

1:23

Stresses under Combined Loadings

283 views

Chapter 25

Deflection of Beams

9 Videos

11 Minutes

1:15

Deformation of a Beam under Transverse Loading

500 views

1:23

Equation of the Elastic Curve

779 views

1:16

Elastic Curve from the Load Distribution

327 views

1:19

Deflection of a Beam

443 views

1:20

Method of Superposition

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1:17

Moment-Area Theorems

442 views

1:15

Beams with Symmetric Loadings

284 views

1:17

Beams with Unsymmetric Loadings

236 views

1:13

Maximum Deflection

738 views

Chapter 26

Columns

7 Videos

9 Minutes

1:14

Stability of structures

309 views

1:21

Euler's Formula for Pin-Ended Columns

471 views

1:15

Euler's Formula to Columns with Other End Conditions

750 views

1:23

Euler's Formula to Columns: Problem Solving

731 views

1:16

Eccentric Loading

618 views

1:17

Design of Columns under a Centric Load

324 views

1:21

Design of Columns under an Eccentric Load

876 views

Chapter 27

Energy Methods

8 Videos

10 Minutes

1:13

Strain Energy

682 views

1:20

Strain-Energy Density

646 views

1:22

Elastic Strain Energy for Normal Stresses

348 views

1:20

Elastic Strain Energy for Shearing Stresses

346 views

1:19

Impact Loading

423 views

1:13

Impact Loading on a Cantilever Beam

586 views

1:18

Castigliano's Theorem

668 views

1:14

Castigliano's Theorem: Problem Solving

905 views

Mechanical Engineering

Physics Basics

An Introduction to Statics

Force Vectors

Equilibrium of a Particle

Force System Resultants

Equilibrium of a Rigid Body

Structural Analysis

Internal Forces

Friction

Center of Gravity and Centroid

Moment of Inertia

Virtual Work

Kinematics of a Particle

Kinetics of a Particle: Force and Acceleration

Kinetics of a Particle: Impulse and Momentum

Planar Kinematics of a Rigid Body

3-Dimensional Kinetics of a Rigid Body

Concept of Stress

Stress and Strain – Axial Loading

Torsion

Bending

Analysis and Design of Beams for Bending

Shearing Stresses in Beams and Thin-Walled Members

Transformations of Stress and Strain

Principal Stresses under a Given Loading

Deflection of Beams

Columns

Energy Methods

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