Problem Statement
Certain Points
Class Topics
Background Check
Uniaxial Stress
Fundamental Concepts
Axially Loaded Bar
Normal Stress
Units Of Stress
Local And Average Stress
Uniform And Nonuniform Stress
Example Of Uniform Stress In A Bar (Movie)
More Examples
Uniaxial Strain
Definition Of Normal Strain
Sign Convention And Units
Local And Nonuniform Strain
More Examples
Bar Behavior
Mechanical Behavior Of A Bar
Stress Vs Strain Behavior
Stress Vs Strain Behavior
Hooke’s Law
Summary
The Spring Analogy
Poisson Effects
Stress And Factor Of Safety
Nonuniform Bars
Example: Nonuniform Bar
Continuously Nonuniform Bars
Summary
Statically Indeterminate Bars
Statically Indeterminate Bars
Example: Statically Indeterminate Bars
Example: Statically Indeterminate Bars
Change Of Temperature Effects
Change Of Temperature – Statically
Essentials Of The Mechanics Of Materials
Indeterminate Bars
Example: Nonuniform Bar
More Examples
Exercise Allowable Load In A Bar
Exercise Bar Elongation
Exercise Mechanical Behavior Of A Bar
Shear
The Notion Of Shear Stress
Example: Shear Stress
Example: Shear Stress
Shear Stress In A Bar
Notation For Shear Stresses
“Symmetry” Of Shear Stresses
Shear Stress Symmetry
Shear Strain And Shear Modulus
Shear Stress And Safety Factor
Bearing Stress
More Examples
Shaft Behavior
Torque On A Shaft
Relative Angle And Twist
Uniform Torque
Hooke’s Law In Shear
Torque Versus Twist
Essentials Of The Mechanics Of Materials
Torsional Rigidity, Rotational Spring Analogy
Some Terminology
Example: Hollow Cylindrical Shaft
The “Equivalence” Of A Bar And A Shaft
Nonuniform Shafts
Continuously Nonuniform Shafts
Example Of Shear Stress In A Shaft (Movie)
Example: Continuously Nonuniform Shaft
Example: Continuously Nonuniform Shaft
Example: Nonuniform Shaft
Example: Nonuniform Shaft
Pure Shear And Shear Modulus Of Elasticity
Pure Shear And Shear Modulus Of Elasticity
Pure Shear And Shear Modulus Of Elasticity
More Examples
Beams
Statically Determinate, Indeterminate Beams
V And M: Definitions
M/V Diagrams: Rules
More Examples
Deflection And Curvature
Curvature For Small Deflections
Normal Strains In Deflected Beams
Stress Distribution
Essentials Of The Mechanics Of Materials
M Versus Curvature
Flexure Formula
Example: Normal Stress In A Beam Subjected
To Positive Bending Moment (Movie)
Example: Normal Stress In A Beam Subjected
To Negative Bending Moment (Movie)
Example: Stress Distribution
Example Normal Stresses In Beams
Shear Stress
Shear Stress Distribution In Beams
Example: Shear Stress Distribution
Example: Shear Stress
Normal And Shear Stresses In Beams
Example: Normal Stresses In Beams
Example Normal And Shear Stress In Beams
Shear Strains
More Examples
Centroid And Moment Of Inertia
Shear Flow
Shear Stress In An Ibeam
Shear Flow
Builtup Beams
Connections In Builtup Beams
Example: Weld
Example: Shear Stress On Wood Adhesives
Example: Nails In A Wood Beam
More Examples
Exercise Shear Flow
Beam Deflections And Statically
Essentials Of The Mechanics Of Materials
Indeterminate Beam
Deflections And Slopes Of Simple Beams
Example: Deflection Of A D Beam
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