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Engr225 Mechanics of Materials

 

 
   

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Homework

General info on homework, and a sample.

Which problems to turn in each week:
Do all required problems belonging to sections we covered until (and including) the preceding Friday.

When to turn it in:
Hw assignments are typically due each Tuesday (check the calendar for details).

Chapter/Sections/Topic Homework Problems Solution
Chapter 1: Stress    
1.1 Introduction
1.2 Equilibrium of a Deformable Body
required: 1, 3, 7, 14, 19, 23, 28, 31 Solution
1.3 Stress
1.4 Average Normal Stress in Axially Loaded Bar
1.5 Average Shear Stress

required: 39, 53, 57, 74 (solution to 74 is in extra practice)

extra practice: 38, 46, 54, 58, 61/62, 73

erf info

Solution

Solution

1.6 Allowable Stress
1.7 Design of Simple Connections

required: 81, 91, 100

extra practice: 82, 83

Solution

Solution

1. Review none  
Chapter 2: Strain    
2.1 Deformation
2.2 Strain

required: 7, 17, 30

extra practice: 3, 19, 22

Solution

Solution

2. Review none  
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

required: 5, 7, 13, 18, 22

extra practice: 9, 11, 23

Solution

Solution

3.6 Poisson's Ratio
3.7 Shear Stress-Strain Diagram
3.8* Failure of Materials Due to Creep and Fatigue

required: 27, 33

extra practice: 26, 34

Solution

Solution

3. Review none  
Chapter 4: Axial Load    
4.1 Saint-Venant's Principle
4.2 Elastic Deformation of an Axially Loaded Member

required: 6,19, 29, 30

extra practice: 2, 3, 10, 15

Solution

Solution

4.3 Principle of Superposition
4.4 Statically Indeterminate Axially Loaded Member
4.5 Force Method of Analysis for Axially Loaded Members

required: 33, 35, 49, 53

extra practice: 31, 37/38, 47, 61

Solution

Solution

4.6 Thermal Stress

required: 73, 79

extra practice: 70, 84

Solution

Solution

4.7 Stress Concentrations
4.8* Inelastic Axial Deformation
4.9* Residual Stress

required: 89, 91

extra practice: 93, 95

Solution

Solution

4. Review none  
Chapter 5: Torsion    
5.1 Torsional Deformation of a Circular Shaft
5.2 Torsion Formula
5.3 Power Transmission

required: 1,  9,  15,  33, 41 (note: no solution to #15, sorry)

extra practice: 5, 9, 27, 43

Solution

Solution

5.4 Angle of Twist

required: 50, 53, 64 (solution to #64)

extra practice: 59, 65, 68

Solution

Solution

5.5 Statically Indeterminate Torque-Loaded Member

required: 79

extra practice: 73, 82

Solution

Solution

5.6* Solid Noncircular Shafts
5.7* Thin-Walled Tubes Having Closed Cross Sections
none  
5.8 Stress Concentration
5.9* Inelastic Torsion
5.10* Residual Stress

required: 115

extra practice: 113

Solution

Solution

5. Review none  
Chapter 6: Bending    
6.1 Shear and Moment Diagrams
6.2 Graphical Method for Constructing Shear and Moment Diagrams

required:  1, 10, 19, 33

extra practice: 4, 16, 31, 40

Solution

Solution

6.3 Bending Deformation of a Straight Member
6.4 Flexure Formula

required: 50, 57, 71, 94

extra practice: 44, 48, 66, 75, 93

Solution

Solution

6.5 Unsymmetric Bending

required: 106

extra practice: 103, 107, 116

Solution

Solution

6.6* Composite Beams
6.7* Reinforced Concrete Beams
6.8* Curved Beams
6.9 Stress Concentrations
none  
6.10* Inelastic Bending
6.11* Residual Stress
none  
6. Review none  
Chapter 7: Transverse Shear    
7.1 Shear in Straight Members
7.2 Shear Formula
7.3 Shear Stresses in Beams

required: 5, 11, 21, 26

extra practice: 1, 2, 3, 17, 29/30

Solution

Solution

7.4 Shear Flow in Built-Up Members

required: 37, 46

extra practice: 38, 47

Solution

Solution

7.5 Shear Flow in Thin-walled Members
7.6* Shear Center
none  
7. Review none  
Chapter 8: Combined Loadings    
8.1 Thin-Walled Pressure Vessels

required: 3,  10, 11

extra practice: 1, 2, 9

Solution

Solution

8.2 State of Stress Caused by Combined Loadings

required: 19, 37, 43, 50

extra practice: 15, 34, 45, 59

Solution

Solution

8. Review

required: 70

Solution

Chapter 9: Stress Transformation    
9.1 Plane-Stress Transformation
9.2 General Equations of Plane-Stress Transformation
9.3 Principal Stresses and Maximum In-Plane Shear Stress

required: 7, 25, 26, 45, 47

extra practice: 2, 3, 6, 14, 23, 34, 44, 51

Solution

Solution

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

required:  57, 73, 82, 87

extra practice: 58, 75, 84

Solution

Solution

9.7 Absolute Maximum Shear Stress none  
9. Review none  
Chapter 10: Strain Transformation    
10.1 Plane Strain
10.2 General Equations of Plane-Strain Transformation
10.3* Mohr's Circle - Plane Strain

required:  2, 6, 15, 19 Note: Problem 6 solution both states and solves a slightly different problem. If you want to try a problem finding the orientation of the principal planes and the max in-plane shear strain, try 10.9

extra practice: 5, 9, 19, 22

Solution

Solution

10.4* Absolute Maximum Shear Strain
10.5 Strain Rosettes
none  
10.6 Material-Property Relationships none  
10.7* Theories of Failure none  
10. Review none  
Chapter 12: Deflections of Beams and Shafts    
12.1 The Elastic Curve
12.2 Slope and Displacement by Integration

required: 3, 26

extra practice: 5, 6, 18

Solution

Solution

 

 

 

 

 

 

 

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