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 and more.  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 - Axial Deformation with Self-Weight
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 Explanation (Part 1)
Flexure Formula Explanation (Part 2)
Example - Normal Stress Due to Bending (Part 1)
Example - Normal Stress Due to Bending (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 Stress in a Beam
Example - Calculating shear stresses at different points along an I-shaped section

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)
Example - combined loading with von mises stress calculation

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
Moment Area Method Example 1
Moment Area Method Example 2
Moment Area Method Example 3
Moment Area Method Example 4 (1/2)
Moment Area Method Example 4 (2/2)


J. STATICALLY INDETERMINATE BEAMS
Example 1 - Statically Indeterminate Beam Analysis by Method of Superposition (1/2)
Example 1 - Statically Indeterminate Beam Analysis by Method of Superposition (2/2)
Example 2 - Analysis of Statically Indeterminate Continuous 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
Critical Buckling Load Calculation Example 2

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