Friday, October 4, 2013

updated tabs

I finally got around to updating links to my youtube videos on mechanics of materials.  Also, I created a tab for Structural Analysis with all the videos up to beam deflections.

Check out the tabs above to navigate.  You can always check out the playlists on my youtube channel to view videos in an order that is pretty close to how the topic is taught at most universities.

Friday, August 16, 2013

Mechanics of Materials

Click on the links to videos on my youtube channel.  These videos cover a semester long, first course in mechanics (or strength) of materials.  If there are any other topics you'd like to see, please let me know.  Keep on learning....structure free.

A. STRESS AND STRAIN
Defining Stress
Normal Stress in an Axially Loaded Member
Example - Average Normal Stress
Average Shear Stress and Simple Connections
Example - Lap Shear Connection Stress Analysis
Allowable Stress and Design of Simple Connections (Part 1)
Allowable Stress and Design of Simple Connections (Part 2)
Example - Average Normal Stress and Average Shear Stress
Normal Strain - Explanation
Shear Strain - Explanation

B. AXIAL LOADING
Deformation due to Axial Loading
Example - Axial Deformation with Uniformly Distributed Axial Loading (part 1)
Example - Axial Deformation with Uniformly Distributed Axial Loading (part 2)
Example -Statically Indeterminate - Rigid Beam Suspended by Three Bars
Example - Statically Indeterminate - Fixed, Fixed Bar with Axial Load by Force Method

C. TORSION
Torsion Formula
Example - Shear Stress in Circular Shaft due to Torsion
Example - Angle of Twist of Solid Circular Shaft with Concentrated Torques Applied
Example - Statically Indeterminate - Fixed, Fixed Rod Reactions with Torsional Loading

D. FLEXURE
Example - Calculating Reactions for Beam with Hinge
Example 1 - Shear and Moment Diagram, simply supported beam, uniformly distributed load on portion of beam
Example 2 Shear and Moment Diagram, simply supported, concentrated moment, linearly distributed load
Flexure Formula Background (Part 1)
Flexure Formula Background (Part 2)
Introduction to Composite Beams
Explanation of the Transformed Area Method
Example - Calculating Normal Stresses in a Composite Beam (Part 1)
Example - Calculating Normal Stresses in a Composite Beam (Part 2)

E. TRANSVERSE SHEAR
Explaining Shear Stresses in Beams (Part 1)
Explaining Shear Stresses in Beams (Part 2)
Example - Calculating Shear Stresses in an I-beam

F. PRESSURE VESSELS
Example - Designing Wall Thickness and Bolts in a Pressure Vessel

G. COMBINED LOADING
Example - calculating the state of stress of a 3-D rod under combined loading (Part 1)
Example - calculating the state of stress of a 3-D rod under combined loading (Part 2)

H. STRESS TRANSFORMATION
Mohr's Circle (Part 1)
Mohr's Circle (Part 2)
Example 1 - Using Mohr's Circle to calculate principal stresses and max shear stress (part 1)
Example 1 - Using Mohr's Circle to calculate principal stresses and max shear stress (part 2)
Example 1 - Using Mohr's Circle to calculate principal stresses and max shear stress (part 3)
Example 2 - Using Mohr's Circle to calcculate and draw RVE in principal stress and max shear stress states

I. BEAM DEFLECTIONS
Example 1 - Overview and deflection of cantilever beam by Double Integration Method (Part 1)
Example 1 - Deflection of cantilever beam by Double Integration Method (Part 2)
Example 1 - Deflection of cantilever beam by Double Integration Method (Part 3) 
Example 2 - Deflection of cantilever beam with triangular load by Double Integration Method
Singularity Functions for Beam Deflections - Explanation
Beam Deflections with Singularity Functions Example - Easy
Beam Deflections with Singularity Functions Example - Medium
Moment Area Theorems Explanation

J. STATICALLY INDETERMINATE BEAMS
Example Analysis of Statically Indeterminate Beam by Method of Superposition

K. COLUMN BUCKLING
Explanation of Column Buckling (Part 1)
Explanation of Column Buckling (Part 2)
Critical Buckling Load Calculation Example 1
Euler Buckling Load Example 2

L. INTRODUCTORY DESIGN CONCEPTS
Single Lap Shear Connection Design Example
Normal Stress and Shear Stress in basic beam design example

Thursday, August 15, 2013

Engineering Dynamics

Click below for my links to videos on engineering dynamics on my youtube site.   subscribe or follow me and let me know if there are any topics that I can try to clarify for you.


A. KINEMATICS OF PARTICLES
Introduction to 1-D Particle Kinematics
Acceleration Cases in 1-D Particle Kinematics
1-D Kinematics Example with Constant Acceleration
1-D Kinematics Example given position as a function of time
Projectile Motion - Background
Projectile Motion Example - solving for velocity and maximum height
Projectile Motion Example - solving for distance and time
Radial and Transverse Components Example (Part 1)  
Radial and Transverse Components Example (Part 2)
Pulley Problems (Absolute Dependent Motion) - Background
Pulley Motion Example
Relative Velocity and Acceleration - Background
Relative Velocity and Acceleration Example (Part 1)
Relative Velocity and Acceleration Example (Part 2)
     
B. KINETICS OF PARTICLES
Introduction to Kinetics of Particles
Example with F=ma in Cartesian Coordinates
F=ma in Normal and Tangential Coordinates Example (Part 1)
F=ma in Normal and Tangential Coordinates Example (Part 2)
Principle of Work and Energy Example
Oblique central impact
Example oblique central impact (part I)
Example oblique central impact (part II)

C. KINEMATICS OF RIGID BODIES

Instantaneous center of rotation (part I)
Instantaneous center of rotation (part II)   
Relative acceleration analysis
Acceleration Analysis Example (1/3)
Acceleration Analysis Example (2/3)
Acceleration Analysis Example (3/3)


D. KINETICS OF RIGID BODIES
Rigid body kinetics with rotation
Rigid body kinetics with plane motion (part I)
Rigid body kinetics with plane motion (part II)
Rigid body kinetic energy (part I)
Rigid body kinetic energy (part II)


E. MORE EXAMPLE PROBLEMS
Conservation of Energy, Oblique Impact, and Projectile Motion all-in-one (Part I)
Conservation of Energy, Oblique Impact, and Projectile Motion all-in-one (Part II)