Structural mechanics for SV
ME-231(b)
ME-231(b) Structural mechanics for SV - Fall 2020
Description
Edited videos are available from the 2020 rendition of this course. These videos were edited for duration and content. Students can refer to these videos if they wish to hear an explanation again. These videos will, however, not be updated anymore.
ME-231(b) Structural mechanics for SV - Fall 2021
Lesson13_15.12.21
15.12.2021, 15:56
Lesson12_08.12.21
08.12.2021, 13:55
Lesson11_01.12.21
02.12.2021, 18:37
Lesson10_24.11.21
26.11.2021, 08:19
Lesson9_17.11.21
17.11.2021, 13:46
Lesson8_10.11.21
11.11.2021, 10:21
Lesson7_03.11.21
05.11.2021, 13:33
Lesson5_20.10.21
25.10.2021, 08:40
Integrate the lesson with the video recorded last year:
Week 5_3, https://tube.switch.ch/videos/df050e4e
week 5_4, https://tube.switch.ch/videos/04ed65c9
Lesson4_13.10.21
13.10.2021, 17:59
Lesson3_06.10.21
06.10.2021, 15:28
Lesson2_ 29.09.21
04.10.2021, 19:30
Lesson1_22.09.21
04.10.2021, 18:36
Week 14, Week 14_Beam buckling
15.12.2020, 19:39
Week 13, Week 13_Beam bending
08.12.2020, 23:06
Week 12, Week 12_Shear stresses in beams
01.12.2020, 23:03
Week 11 normal strain in bending, Week 11
24.11.2020, 19:58
In this video, we will discuss the normal stresses that exist in a beam during bending. After studying this lecture you should know:
- how different parts in the beam are strained during bending
- what a neutral axis is
- calculate the normal stresses in a beam in bending
- calculate the second moment of area of simple and complex shapes through integration and decomposition
Week 10_3 Singularity functions, Week 10_3
18.11.2020, 01:34
Week 10_2 Beam bending with shear and moment diagrams, Week 10_2
18.11.2020, 01:24
Week 10_1_Failure criteria, Week 10_1
18.11.2020, 01:14
Week 9 Transformation of stress and strain part 2, Weep 9
10.11.2020, 14:11
In this video, we will cover the concept of principal stresses in 2D and 3D. We will derive the equations for calculating the principal stresses and learn about the relationship between the shear and normal stresses at the principal axes. After studying this video you should:
- be able to explain what principal stresses are
- know how to derive the equations for the principal stresses
- calculate principal stresses in 2D and 3D
- explain what the Moor's circle is
- explain the relationship between normal stresses and shear stresses at the principal angles, and the angles of maximum shear stress.
Week 8_2: Stress transformation part 1, Week 8_2
02.11.2020, 22:52
In this lecture, we will cover the transformation equations for plane stress After this lecture you should:
- Know why we need stress transformation
- Understand how the stress transformation equations for plane stress are derived
- Calculate the stress state of an element in any direction, when given the stresses in two other directions.
Week 8_1 Thin walled pressure vessel, Week 8_1
02.11.2020, 22:38
In this lesson, we will cover stresses in the wall of a thin-walled pressure vessel. After this lesson you should be able to:
- explain the origin of hoop stresses and longitudinal stresses
- calculate hoop stresses and longitudinal stresses
- know when to apply thin-walled pressure vessel theory
Week 7_2 Stress concentration in torsion and torsion of a non circular member, Week 7_2
27.10.2020, 19:17
In this video, you will learn about:
- torsional stress concentration
- torsion of a non circular member
- inelastic torsion
Week 7_1 Statically indeterminate systems in torsion, Week 7_1
27.10.2020, 18:08
In this video, you will learn how to apply the displacement stiffness method to torsional statically indeterminate problems (both internal and external).
Week 6_2: Torsion, Week 6_2
20.10.2020, 21:43
In this video we will learn about torsional loads acting on rotationally symmetric bars. We will derive Hooke’s law for a bar in torsion and learn how to solve torsion problems with superposition. After this video you should know:
- What kind of stresses and strains are induced by torsion in a circular bar
- how to derive the relationships between angle of twist, torsional shear strain, torsional shear stress, and torsional load
- Calculate the second moment of a given area
- Solve simple determined problems in torsion.
Week 6_1 Materials properties and limiting behaviour, Week 6_1
20.10.2020, 20:57
In this video we discuss several terms that describe behavior of materials. We also discuss the stress-strain curve in more detail and learn how they are measured.
Week 5 Part 4: Hooke's law in 3D, Week 5_4
13.10.2020, 21:35
In this video we derive Hooke's law in 3D for isotropic materials. After studying this video you should be able to:
- explain Hooke's law in 3D
- know how the elements in the 6x6 matrix are derived
- solve 3D hooke's law problems
Week 5 part 3: The stress tensor, Week 5_3
13.10.2020, 15:15
In this video, we will learn about the representation of the stress state of an object in 3D. At the end of this video you should know:
- What is the stress tensor
- What are the properties of the stress tensor
- How to interpret the different elements of the stress tensor
- The sign convention for normal and shear stresses
Week 5 Part 2: The strain tensor, Week 5_2
12.10.2020, 23:58
In this video, we will derive the infinitesimal strain tensor for the 2D and 3D case. At the end of this video, you should be able to:
- derive the expressions for the strain tensor in 2D and extrapolate into 3D
- explain the meaning of the different elements
- know the properties of the strain tensor
Week 5 Part 1: The Poisson effect, Week 5_1
12.10.2020, 23:52
As decided by the doodle poll among students, we will continue the course with pre-recorded videos. The individual lectures will be sub-divided into smaller parts for easier upload and download.
Week 4 unedited
12.10.2020, 18:21
Week 3 edited
12.10.2020, 16:30
Week 2 edited
12.10.2020, 16:26
Week 1 Part 2: Review of Newtonian mechanics and vector math, Week 1_2
17.09.2020, 14:01
In this video, we will review the basics of Newtonian mechanics and vector math. At the end of this Video you should:
- understand the three Newton's laws
- understand the difference between internal and external forces
- be able to draw free body diagrams
- understand the concepts of moments, couples and equilibrium
- be able to calculate vector cross products and dot products
Week 1 Part 1: What is structural mechanics and why do we study it, Week 1_1
17.09.2020, 11:03
In this video, we discuss why we study structural mechanics, why it is important for biologists, as well as discuss some administrative things. This video covers the same material as the live recording of Wednesday 15th of September.
Week 1_zoom recording, Week 1_3 Zoom recording of Lecture 1. 16th Sept 2020
16.09.2020, 13:49
This is a recording of the Zoom video of the first lesson. It includes a quick overview of the motivation behind the course and some administrative matters. The content is also available in a separate video with annotations.
ME-231(b) Structural mechanics for SV - Fall 2021
Lesson13_15.12.21
15.12.2021, 15:56
Lesson12_08.12.21
08.12.2021, 13:55
Lesson11_01.12.21
02.12.2021, 18:37
Lesson10_24.11.21
26.11.2021, 08:19
Lesson9_17.11.21
17.11.2021, 13:46
Lesson8_10.11.21
11.11.2021, 10:21
Lesson7_03.11.21
05.11.2021, 13:33
Lesson5_20.10.21
25.10.2021, 08:40
Integrate the lesson with the video recorded last year:
Week 5_3, https://tube.switch.ch/videos/df050e4e
week 5_4, https://tube.switch.ch/videos/04ed65c9
Lesson4_13.10.21
13.10.2021, 17:59
Lesson3_06.10.21
06.10.2021, 15:28
Lesson2_ 29.09.21
04.10.2021, 19:30
Lesson1_22.09.21
04.10.2021, 18:36
Week 14, Week 14_Beam buckling
15.12.2020, 19:39
Week 13, Week 13_Beam bending
08.12.2020, 23:06
Week 12, Week 12_Shear stresses in beams
01.12.2020, 23:03
Week 11 normal strain in bending, Week 11
24.11.2020, 19:58
In this video, we will discuss the normal stresses that exist in a beam during bending. After studying this lecture you should know:
- how different parts in the beam are strained during bending
- what a neutral axis is
- calculate the normal stresses in a beam in bending
- calculate the second moment of area of simple and complex shapes through integration and decomposition
Week 10_3 Singularity functions, Week 10_3
18.11.2020, 01:34
Week 10_2 Beam bending with shear and moment diagrams, Week 10_2
18.11.2020, 01:24
Week 10_1_Failure criteria, Week 10_1
18.11.2020, 01:14
Week 9 Transformation of stress and strain part 2, Weep 9
10.11.2020, 14:11
In this video, we will cover the concept of principal stresses in 2D and 3D. We will derive the equations for calculating the principal stresses and learn about the relationship between the shear and normal stresses at the principal axes. After studying this video you should:
- be able to explain what principal stresses are
- know how to derive the equations for the principal stresses
- calculate principal stresses in 2D and 3D
- explain what the Moor's circle is
- explain the relationship between normal stresses and shear stresses at the principal angles, and the angles of maximum shear stress.
Week 8_2: Stress transformation part 1, Week 8_2
02.11.2020, 22:52
In this lecture, we will cover the transformation equations for plane stress After this lecture you should:
- Know why we need stress transformation
- Understand how the stress transformation equations for plane stress are derived
- Calculate the stress state of an element in any direction, when given the stresses in two other directions.
Week 8_1 Thin walled pressure vessel, Week 8_1
02.11.2020, 22:38
In this lesson, we will cover stresses in the wall of a thin-walled pressure vessel. After this lesson you should be able to:
- explain the origin of hoop stresses and longitudinal stresses
- calculate hoop stresses and longitudinal stresses
- know when to apply thin-walled pressure vessel theory
Week 7_2 Stress concentration in torsion and torsion of a non circular member, Week 7_2
27.10.2020, 19:17
In this video, you will learn about:
- torsional stress concentration
- torsion of a non circular member
- inelastic torsion
Week 7_1 Statically indeterminate systems in torsion, Week 7_1
27.10.2020, 18:08
In this video, you will learn how to apply the displacement stiffness method to torsional statically indeterminate problems (both internal and external).
Week 6_2: Torsion, Week 6_2
20.10.2020, 21:43
In this video we will learn about torsional loads acting on rotationally symmetric bars. We will derive Hooke’s law for a bar in torsion and learn how to solve torsion problems with superposition. After this video you should know:
- What kind of stresses and strains are induced by torsion in a circular bar
- how to derive the relationships between angle of twist, torsional shear strain, torsional shear stress, and torsional load
- Calculate the second moment of a given area
- Solve simple determined problems in torsion.
Week 6_1 Materials properties and limiting behaviour, Week 6_1
20.10.2020, 20:57
In this video we discuss several terms that describe behavior of materials. We also discuss the stress-strain curve in more detail and learn how they are measured.
Week 5 Part 4: Hooke's law in 3D, Week 5_4
13.10.2020, 21:35
In this video we derive Hooke's law in 3D for isotropic materials. After studying this video you should be able to:
- explain Hooke's law in 3D
- know how the elements in the 6x6 matrix are derived
- solve 3D hooke's law problems
Week 5 part 3: The stress tensor, Week 5_3
13.10.2020, 15:15
In this video, we will learn about the representation of the stress state of an object in 3D. At the end of this video you should know:
- What is the stress tensor
- What are the properties of the stress tensor
- How to interpret the different elements of the stress tensor
- The sign convention for normal and shear stresses
Week 5 Part 2: The strain tensor, Week 5_2
12.10.2020, 23:58
In this video, we will derive the infinitesimal strain tensor for the 2D and 3D case. At the end of this video, you should be able to:
- derive the expressions for the strain tensor in 2D and extrapolate into 3D
- explain the meaning of the different elements
- know the properties of the strain tensor
Week 5 Part 1: The Poisson effect, Week 5_1
12.10.2020, 23:52
As decided by the doodle poll among students, we will continue the course with pre-recorded videos. The individual lectures will be sub-divided into smaller parts for easier upload and download.
Week 4 unedited
12.10.2020, 18:21
Week 3 edited
12.10.2020, 16:30
Week 2 edited
12.10.2020, 16:26
Week 1 Part 2: Review of Newtonian mechanics and vector math, Week 1_2
17.09.2020, 14:01
In this video, we will review the basics of Newtonian mechanics and vector math. At the end of this Video you should:
- understand the three Newton's laws
- understand the difference between internal and external forces
- be able to draw free body diagrams
- understand the concepts of moments, couples and equilibrium
- be able to calculate vector cross products and dot products
Week 1 Part 1: What is structural mechanics and why do we study it, Week 1_1
17.09.2020, 11:03
In this video, we discuss why we study structural mechanics, why it is important for biologists, as well as discuss some administrative things. This video covers the same material as the live recording of Wednesday 15th of September.
Week 1_zoom recording, Week 1_3 Zoom recording of Lecture 1. 16th Sept 2020
16.09.2020, 13:49
This is a recording of the Zoom video of the first lesson. It includes a quick overview of the motivation behind the course and some administrative matters. The content is also available in a separate video with annotations.