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