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Mechanics of Materials II
Equation Sheet for Mechanics of Materials I and II
Equation Sheet
Chapter 7 Transverse Shear
Chapter 7 Outline of Notes
7.1 Shear Formula (28:26)
7.2 Example 1 Number 7.5 (15:15)
7.3 Example 2 Number 7.22 (19:51)
7.4 Example 3 Number 7.26 (9:37)
Homework #1
Homework 1 Solutions
7.5 Shear Flow (10:57)
7.6 Example 4 Number 7.34 (25:00)
7.7 Example 5 Number 7.40 (20:47)
Homework #2
Homework 2 Solutions
7.8 Shear Flow in Thin Walled Members (36:40)
7.9 Example 6 Number 7.50 (17:55)
7.10 Example 7 Number 7.58 (8:01)
7.11 Example 8 Number 7.62 (15:37)
Homework #3
Homework 3 Solutions
Chapter 8 Combined Loadings
Chapter 8 Outline of Notes
8.1 Thin Walled Pressure Vessels (17:59)
8.2 Example 8.4 (5:25)
Homework #4
Homework 4 Solutions
8.3 Combined Loadings & Example 8.19 (13:51)
8.4 Example 8.29 (23:14)
8.5 Example 8.40 (31:02)
Homework #5
Homework 5 Solutions
Chapter 9 Stress Transformation
Chapter 9 Outline of Notes
9.1 Planar Stress (6:52)
9.2 Example 9.2 (18:47)
9.3 Example 9.4 (12:30)
Homework #6
Homework 6 Solutions
9.4 General Equations of Plane Stress Transformations (25:43)
9.5 Example 9.10 (15:18)
9.6 Example 9.11 (12:57)
Homework #7
Homework 7 Solutions
9.7 Principal Stresses (30:09)
9.8 Max In Plane Shear Stress (13:58)
9.9 Example 9.14 (17:11)
9.10 Example 9.23 (12:50)
9.11 Example 9.29 (43:03)
Homework #8
Homework 8 Solutions
9.12 Mohrs Circle (35:15)
9.13 Example 9.54 (15:28)
9.14 Example 9.51 (25:09)
9.15 Example 9.44 (15:16)
9.16 Example 9.73 (24:12)
Homework #9
Homework 9 Solutions
9.17 Max In Plane Shear Stress (15:53)
9.18 Example 9.78 (23:38)
9.19 Example 9.80 (11:58)
9.20 Example 9.86 (18:18)
Homework #10
Homework 10 Solutions
Chapter 10 Strain Transformation
Chapter 10 Outline of Notes
10.1 Plane Strain Part 1 (19:54)
10.2 Plane Strain Part 2 (40:43)
10.3 Plane Strain Part 3 (8:29)
10.4 Example 10.3 (13:21)
10.5 Example 10.9 (19:03)
Homework #11
Homework 11 Solutions
10.6 Mohrs Circle - Plane Strain (16:21)
10.7 Example 10.17 (18:11)
10.8 Example 10.20 (19:42)
Homework #12
Homework 12 Solutions
10.9 Strain Rosettes (12:44)
10.10 Example 10.25 (14:16)
Homework #13
Homework 13 Solutions
10.11 Material Property Relationships (37:55)
10.12 Example 10.44 (11:49)
10.13 Example 10.46 (14:23)
10.14 Example 10.50 (8:36)
Homework #14
Homework 14 Solutions
Chapter 11 Design of Beams and Shafts
Chapter 11 Outline of Notes
Appendix B Tables - Wide Flanged Beams
11.1 Prismatic Beam Design (24:55)
11.2 Example 11.4 (16:53)
11.3 Example 11.10 (17:44)
11.4 Example 11.1 (14:55)
Homework #15
Homework 15 Solutions
11.5 Fully Stressed Beams (5:42)
11.6 Example 11.32 (22:21)
11.7 Example 11.36 (10:07)
Homework #16
Homework 16 Solutions
11.8 Shaft Design (13:54)
11.9 Example 11.39 (32:25)
11.10 Example 11.42 (24:00)
Homework #17
Homework 17 Solutions
Chapter 12 Deflection in Beams and Shafts
Chapter 12 Outline of Notes Complete
12.1 Elastic Curve (28:51)
12.2 Slope and Displacement by Integration (22:35)
12.3 Example 12.4 (24:41)
12.4 Example 12.17 (36:13)
Homework #18
Homework 18 Solutions
12.5 Discontinuity Functions (30:04)
12.6 Example 12.32 (19:56)
12.7 Example 12.35 (26:49)
12.8 Example 12.39 (26:08)
Homework #19
Homework 19 Solutions
12.9 Slope and Deflection with Moment Area Method (26:56)
12.10 Example 12.52 (27:58)
12.11 Example 12.60 (28:57)
12.12 Example 12.78 (18:40)
Homework #20
Homework 20 Solutions
Appendix C - Needed for next section
12.13 Method of Superposition (22:40)
12.14 Example 12.88 (16:42)
Homework #21
Homework 21 Solutions
12.15 Statically Indeterminate Beams and Shafts (10:27)
12.16 Example 12.99 (40:59)
12.17 Example 12.103 (21:53)
Homework #22
Homework 22 Solutions
12.18 Statically Indeterminate Beams and Shafts Moment Area Method (8:00)
12.19 Example 12.111 (26:06)
Homework #23
Homework 23 Solutions
12.20 Statically Indeterminate Beams and Shafts Method of Superposition (6:40)
12.21 Example 12.118 (24:11)
Homework #24
Homework 24 Solutions
Chapter 13 - Buckling of Columns
Chapter 13 Outline of Notes
13.1 Intro to Buckling (18:13)
13.2 Ideal Column with Pin Supports (35:11)
13.3 Columns Having Various Types of Supports (5:31)
13.4 Example 13.5 (11:38)
13.5 Example 13.7 (8:06)
13.6 Example 13.19 (9:58)
Homework #25
Homework 25 Solutions
13.7 Secant Formula (40:37)
13.8 Example 13.48 (8:21)
13.9 Example 13.51 (12:17)
Homework #26
Homework 26 Solutions
13.10 Design of Columns for Concentric Loading (14:07)
13.11 Example 13.78 (10:18)
13.12 Examples 13.91 and 13.101 (12:34)
Homework #27
Homework 27 Solutions
13.13 Design of Columns for Eccentric Loadings (12:46)
13.14 Example 13.107 (9:34)
13.15 Example 13.117 (9:28)
13.16 Example 13.120 (10:43)
Homework #28
Homework 28 Solutions
Chapter 14 - Energy Methods
Chapter 14 Outline of Notes
14.1 External Work and Strain Energy (35:21)
14.2 Example 14.1 (11:16)
14.3 Strain Energy and Axial Loads (7:38)
14.4 Example 14.6 (12:53)
14.5 Bending Strain Energy and Example 14.15 (19:08)
14.6 Transverse Shear Strain Energy and Example (18:40)
14.7 Torsional Shear Strain Energy and Example 14.4 (15:28)
Homework #29
Homework 29 Solutions
14.8 Conservation of Energy (12:22)
14.9 Example 14.27 (14:29)
14.10 Example 14.35 (8:51)
14.11 Example 14.36 (14:06)
Homework #30
Homework 30 Solutions
14.12 Impact Factor (30:07)
14.13 Example 14.44 (10:30)
14.14 Example 14.48 (11:29)
14.15 Example 14.64 (25:53)
Homework #31
Homework 31 Solutions
14.16 Principle of Virtual Work (17:21)
14.17 Method of Virtual Forces Applied to Trusses (13:25)
14.18 Example 14.76 (34:37)
Homework #32
Homework 32 Solutions
14.19 Method of Virtual Forces Applied to Beams (8:55)
14.20 Example 14.88 (19:04)
14.21 Example 14.100 (13:39)
Homework #33
Homework 33 Solutions
14.22 Castiglianos Theorem (10:18)
14.23 Castiglianos Theorem Applied to Trusses and Example 14.126 (30:58)
14.24 Example 14.128 (15:52)
Homework #34
Homework 34 Solutions
14.25 Castiglianos Theorem Applied to Beams (6:46)
14.26 Example 14.138 (18:46)
14.27 Example 14.141 (13:33)
Homework #35
Homework 35 Solutions
7.3 Example 2 Number 7.22
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