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Mastering Statics · LearnSpace
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Mastering Statics

Курс от The Hong Kong University of Science and Technology
Средний≈ 21.2 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

Course Overview: https://www.youtube.com/watch?v=sdom7zBIfkE Statics is the most fundamental course in Mechanics. In this course, you will learn the conditions under which an object or a structure subjected to time-invariant (static) forces is in equilibrium - i.e. the conditions under which it remains stationary or moves with a constant velocity-. You will also learn how to calculate the reaction forces as well as the internal forces experienced throughout the structure so that later you can properly design and size the foundation and the members of the structure to assure the structure’s safety and serviceability. This course is suitable for learners with interest in different Engineering disciplines such as civil engineering, architecture, mechanical engineering, aerospace. Non engineering disciplines may also find the course very useful, from archaeologist who are concerned about the stability of their excavation sites to dentists interested in understanding the forces transmitted through dental bridges, to orthopedic surgeons concerned about the forces transmitted through the spine, or a hip or knee joint. The content will be primarily delivered using light board. Prof. Katafygiotis is going to write and sketch with color markers directly on the board while facing you. You will have an exciting and interactive learning experience online!

Навыки, которые вы освоите

Structural AnalysisMechanicsEngineering CalculationsTorque (Physics)Structural EngineeringEngineering AnalysisCivil EngineeringPhysicsGeometryMechanical EngineeringMechanical DesignLinear AlgebraEngineeringEngineering DrawingsTrigonometryIntegral Calculus

Программа курса

7 модулей · 108 учебных материалов

01Understanding Forces and Moments24 материалов

Orientation

Course OverviewВидеоGrading CriteriaЧтениеMeet and GreetОбсуждение

Introduction

1-0 Introduction to MechanicsВидео

Учитесь у экспертов

Lambros Katafygiotis

Professor Emeritus

Mastering Statics
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Обучение откроется на Coursera
в новой вкладке

Обучение на Coursera

≈ 21.2 ч

7 модулей

Язык: Английский

Субтитры: Арабский, Французский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

Часть программы вашего университета
1-1 Brief Introduction of VectorsВидео
1-2 Basic Operations of Vectors: Vector AdditionВидео
1-3 Vector Addition: Triangle RulesВидео

Vector Addition: Cartesian Coordinates

1-4 Cartesian Components (2D)Видео1-5 Cartesian Components (3D)Видео1-6 Decomposition of a Force into its Cartesian ComponentsВидео1-7 Example: Cartesian ComponentsВидео

Vector Operation: Dot Product

1-8 Introduction to Dot ProductВидео1-9 Dot Product: Cartesian ComponentsВидео1-10 Example: Dot ProductВидео

Vector Operation: Cross Product

1-11 Introduction to Cross ProductВидео1-12 Cross Product: Cartesian ComponentsВидео1-13 Application of Cross Product: Calculating AreaВидео1-14 Application of Cross Product: Moment of a ForceВидео1-15 Example: Moment of a ForceВидео1-16 Couple of ForcesВидео

Vector Operation: Mix or Triple (Scalar) Product

1-17 Vector Operation: Mix or Triple (Scalar) ProductВидео1-18 Application of Mix Product: Moment of a Force about an AxisВидео1-19 Example: Moment of a Force about an AxisВидео

Quiz

Quiz 1Задание
02Equivalent Systems of Forces and Equilibrium12 материалов

Equivalent System of Forces

2-1 Equivalent Systems of ForcesВидео2-2 Simplified Equivalent SystemВидео2-3 Example: Simplified Equivalent System of Forces in 2DВидео

Equilibrium of a Rigid Body

2-4 Equilibrium of a Rigid BodyВидео2-5 Reactions at Different SupportsВидео2-6 Example: Calculating ReactionsВидео2-7 Equilibrium of a System of Rigid BodiesВидео2-8 Example: Equilibrium of a System of Two Rigid BodiesВидео

Two and Three-force Members

2.9 2-Force MembersВидео2.10 Example: 2-Force MembersВидео2-11 3-Force members (Optional)Видео

Quiz

Quiz 2Задание
03Stability and Static Determinacy10 материалов

Stability - Static Point of View

3-1 Stability - Static Point of ViewВидео3-2 Example: Static DeterminacyВидео3-3 Example: Static IndeterminacyВидео

Stability - Kinematic Approach (on a single rigid body)

3-4 Kinematic Considerations - Rigid Body MotionВидео3-5 Kinematic considerations - Infinitesimal MotionsВидео3-6 Stability - Kinematic ApproachВидео

Stability - Kinematic Approach (on multiple rigid bodies)

3-7 Kinematic considerations - Multiple rigid bodiesВидео3.8 Stability - Kinematic approach for Multiple Rigid Bodies, Part 1Видео3.9 Stability - Kinematic approach for Multiple Rigid Bodies, Part 2Видео

Quiz

Quiz 3Задание
04Trusses10 материалов

Introduction

4-1 Introduction to TrussesВидео

Classification of Trusses

4-2 Simple TrussesВидео4-3 Compound TrussesВидео4-4 Complex TrussesВидео

Method of Joints

4-5 Introduction to Method of JointsВидео4-6 Example: Method of Joints for Simple TrussesВидео4-7 Illustration: Method of Joints for Complex and Compound TrussesВидео

Method of Sections

4-8 Introduction to Method of SectionsВидео

Computer-aided Analysis of Trusses

4-9 Illustration: Computer-aided Analysis of TrussesВидео

Quiz

Quiz 4Задание
05Area properties and Moments of Inertia23 материалов

Area and Centroid

5.1 Area and CentroidВидео5.2 Area and Centroid ExamplesВидео5.3 Example of a Half CircleВидео5.4 Example of Composite AreasВидео

Distributed Loading

5.5 Distributed LoadingВидео5.6 Example 1: Distributed LoadingВидео5.7 Example 2: Distributed LoadingВидео

Pappus-Guldiness Theorem

5.8 The First Theorem of Pappus-GuldinessВидео5.9 The Second Theorem of Pappus-GuldinessВидео

Moments of Inertia

5.10 Moments of Inertia - Part 1Видео5.11 Moments of Inertia - Part 2Видео5.12 Product Moment of InertiaВидео5.13 Radius of Gyration and Polar Moment of InertiaВидео5.14 Moments of inertia for Simple Geometric ShapesВидео

Parallel axis theorem

5.15 Parallel Axis TheoremВидео5.16 Example: Moments of Inertia for a Combined Shape using Parallel Axis TheoremВидео5.17 Example: Proper Application of Parallel Axis Theorem for Shifted AxisВидео

Rotated axes

5.18 Transformation due to Rotated AxesВидео5.19 Moment of Inertia with respect to Rotated AxesВидео

Mohr's Circle

5.20 Mohr's circleВидео5.21 Example 1: Application of Mohr's Circle for Calculating Moments of Inertia with respect to Rotated AxesВидео5.22 Example 2: Special Cases regarding Mohr's CircleВидео

Quiz

Quiz 5Задание
06Internal Force Diagrams16 материалов

Introduction

6-1 Introduction to Internal ForcesВидео6-2 Sign Convention of Internal ForcesВидео

Understanding Axial Force, Shear Force and Bending Moments

6-3 Understanding Axial ForceВидео6-4 Understanding Shear ForceВидео6-5 Understanding Bending MomentsВидео

Getting started with drawing Internal Force Diagrams

6-6 Sign convention: A critical reviewВидео6-7 Introduction to Axial, Shear and Bending Moment DiagramВидео

1. Drawing Shear Diagram

6-8 Rules of Shear Force Diagram (Part 1)Видео6-9 Rules of Shear Force Diagram (Part 2)Видео6-10 Rules of Shear Force Diagram (Part 3)Видео

2. Drawing Axial Force Diagram

6-11 Rules of Axial Force DiagramВидео6-12 Example: Axial Force DiagramВидео

3. Drawing Bending Moment Diagram

6-13 Rules of Bending Moment DiagramВидео6-14 Example: Bending Moment DiagramВидео6-15 Example 2: Bending Moment DiagramВидео

Proceed to Module 7

Please proceed to Module 7Чтение
07Static Analysis of a Structure13 материалов

Analyzing Joints in Frames based on Internal Forces Diagrams

7-1 Analyzing Joints in Frames based on Internal Forces DiagramsВидео

Case 1: Static Analysis of a Structure

7-2 Stability and Reaction of the structureВидео7-3 Axial Force DiagramВидео7-4 Shear Force DiagramВидео7-5 Bending Moment DiagramВидео7-6 Summary: Major Steps of performing Static Analysis of a structureВидео

Drawing the Bending Moment Diagram using a Fast Track Approach

7-7 RemarksВидео7-8 Example: Drawing Bending Moment Diagram using Fast Track ApproachВидео

Case 2: Static Analysis of a structure

7-9 Reactions and Force DecompositionВидео7-10 Axial Force, Shear Force and Bending Moment DiagramsВидео

Quiz

Quiz 6Задание

Farewell

Post Course SurveyЗаданиеPlease rate this course!Чтение