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Engr225 Mechanics of Materials

 

 
   

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Chapter/Sections/Topic Powerpoint Lecture Examples Lecture Notes Misc.
Chapter 1: Stress        
1.1 Introduction
1.2 Equilibrium of a Deformable Body
Engr225_01_1_to_01_2

Engr225_01_1_to_01_2_LectureExamples

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1.3 Stress
1.4 Average Normal Stress in Axially Loaded Bar
1.5 Average Shear Stress

Engr225_01_3_to_01_5

Engr225_01_3_to_01_5_LectureExamples    
1.6 Allowable Stress
1.7 Design of Simple Connections
Engr225_01_6_to_01_7 Engr225_01_6_to_01_7_LectureExamples    
1. Review       Homework Review
Chapter 2: Strain        
2.1 Deformation
2.2 Strain
Engr225_02 Engr225_02_LectureExamples

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2. Review        
Chapter 3: Mechanical Properties of Materials        

3.1 Tension and Compression Test
3.2 Stress-Strain Diagram
3.3 Stress-Strain Behavior of Ductile and Brittle Materials
3.4 Hooke's Law
3.5 Strain Energy
3.6 Poisson's Ratio
3.7 Shear Stress-Strain Diagram
3.8* Failure of Materials Due to Creep and Fatigue

Engr225_03_01_to_03_08 Engr225_03_1_to_03_8_LectureExamples

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Links:

Tensile Test

Fatigue Test

3. Review        
Chapter 4: Axial Load        
4.1 Saint-Venant's Principle
4.2 Elastic Deformation of an Axially Loaded Member
Engr225_04_1_to_04_2 Engr225_04_1_to_04_2_LectureExamples

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4.3 Principle of Superposition
4.4 Statically Indeterminate Axially Loaded Member
4.5 Force Method of Analysis for Axially Loaded Members
Engr225_04_3_to_04_5 Engr225_04_3_to_04_5_LectureExamples    
4.6 Thermal Stress Engr225_04_6 Engr225_04_6_LectureExamples    
4.7 Stress Concentrations
4.8* Inelastic Axial Deformation
4.9* Residual Stress
Engr225_04_7 Engr225_04_7_LectureExamples    
4. Review        
Chapter 5: Torsion        
5.1 Torsional Deformation of a Circular Shaft
5.2 Torsion Formula
5.3 Power Transmission
Engr225_05_1_to_05_3

Engr225_05_1_to_05_3_LectureExamples

Torque_AngleOfTwist_SignConvention_Activity

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5.4 Angle of Twist Engr225_05_4 Engr225_05_4_LectureExamples    
5.5 Statically Indeterminate Torque-Loaded Member
5.6* Solid Noncircular Shafts
5.7* Thin-Walled Tubes Having Closed Cross Sections
5.8 Stress Concentration
5.9* Inelastic Torsion
5.10* Residual Stress
Engr225_05_5_and_05_8 Engr225_05_5_and_5_8_LectureExamples    
5. Review        
Chapter 6: Bending        
6.1 Shear and Moment Diagrams
6.2 Graphical Method for Constructing Shear and Moment Diagrams
Engr225_06_1_to_06_2

Engr225_06_1_and_6_2_LectureExamples

Engr225_06_1_and_6_2_LectureExamplesAddition

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Purdue Videos Load-Shear-Moment diagram:

concentrated moment

air plane wing 1 2

distributed load

6.3 Bending Deformation of a Straight Member
6.4 Flexure Formula
6.5 Unsymmetric Bending
6.6* Composite Beams
6.7* Reinforced Concrete Beams
6.8* Curved Beams
6.9 Stress Concentrations
6.10* Inelastic Bending
6.11* Residual Stress
Engr225_06_3_to_06_4 Engr225_06_3_and_6_4_LectureExamples    
6. Review        
Chapter 7: Transverse Shear        
7.1 Shear in Straight Members
7.2 Shear Formula
7.3 Shear Stresses in Beams

Engr225_07_1_to_07_3

Shear formula derivation handout

Engr225_07_1to_07_3_LectureExamples

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7.4 Shear Flow in Built-Up Members
7.5 Shear Flow in Thin-walled Members
7.6* Shear Center
Engr225_07_4 Engr225_07_4_LectureExamples    
7. Review        
Chapter 8: Combined Loadings        
8.1 Thin-Walled Pressure Vessels
8.2 State of Stress Caused by Combined Loadings
Engr225_08_1_to_8_2

Engr225_08_1_to_8_2_LectureExamples

Combined Loading Handout

Pressure Vessel handout

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8. Review        
Chapter 9: Stress Transformation        
9.1 Plane-Stress Transformation
9.2 General Equations of Plane-Stress Transformation
Engr225_09_1_to_9_2 Engr225_09_1_to_9_2_LectureExamples

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9.3 Principal Stresses and Maximum In-Plane Shear Stress

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9.4 Mohr's Circle - Plane Stress
9.5 Stress in Shafts Due to Axial Load and Torsion
9.6 Stress Variations Throughout a Prismatic Beam

Engr225_09_4 Engr225_09_4_LectureExamples    
9.7 Absolute Maximum Shear Stress        
9. Review        
Chapter 10: Strain Transformation        
10.1 Plane Strain
10.2 General Equations of Plane-Strain Transformation
10.3* Mohr's Circle - Plane Strain
10.4* Absolute Maximum Shear Strain
10.5 Strain Rosettes
10.6 Material-Property Relationships
10.7* Theories of Failure

Engr225_10_1_to_10_3

Handout Plane Strain

Engr225_10_1_to_10_3_LectureExamples

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10. Review        
Chapter 12: Deflections of Beams and Shafts        
12.1 The Elastic Curve
12.2 Slope and Displacement by Integration
 

Exam Links: Take-Home Portion:

Class Examples and Long version

Finding Young's Modulus for Al (use E=69GPa) and for plastic (use E=3.71 GPa)

 

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Purdue Videos Load-Shear-Moment diagram:

concentrated moment

air plane wing 1 2

distributed load

 

 

 

 

Last updated: May 24, 2016

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May 24, 2016