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Mastering Statics

Lambros Katafygiotis

Course Overview: https://www.youtube.com/watch?v=sdom7zBIfkE

Statics is the most fundamental course in Mechanics.

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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!

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What's inside

Syllabus

Understanding Forces and Moments
This module introduces the basic operations that learners need to know in order to solve statics problems, we will start by reviewing Newton’s Laws, then introduce Forces and Moments and provide an overview of the vector algebra that governs their operations.
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Equivalent Systems of Forces and Equilibrium
We will study the effect of a system of forces and couples acting on a rigid body and will state the conditions of equilibrium for particles, rigid bodies and assemblies of rigid bodies. The number of independent number of equations that are necessary and sufficient for satisfying equilibrium will be clearly stated.
Stability and Static Determinacy
We will discuss the important notions of stability and static determinacy. These are concepts that often are not presented clearly enough in some of the textbooks, causing confusion to students.
Trusses
Trusses are in a sense the simplest structures to analyze, used widely in structures such as bridges, industrial roofs, and cranes. We are going to introduce two methods of analysis, namely the method of joints and the method of sections to determine the member internal forces. In addition, we will study a computer-aided method for analyzing trusses.
Area properties and Moments of Inertia
To be able to deal with more complicated structures and loading scenarios, we will learn how to replace a distributed loading with an equivalent concentrated one using its geometric properties, such as its area and centroid coordinates. We will also learn how to calculate moments of inertia about specific coordinate axes and how to calculate their corresponding values about another translated and rotated system of axes.
Internal Force Diagrams
We will get to the most important part, which is analyzing frames and beams to calculate their internal forces and to draw axial, shear and moment diagrams. Contrary to most textbook presentations, we will adopt a notation that is universally adopted by engineers when using moment diagrams.
Static Analysis of a Structure
In this module, learners will be presented two examples of complex frames for static analysis. Learners should be able to apply what they have learnt in the previous module, calculate and plot the internal force diagrams. By the end of this module. students will be able to correctly draw axial shear and bending moment diagrams of rather complicated frames.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Teaches essential principles of statics, which underpin various engineering disciplines
Utilizes engaging lightboard presentations to make learning interactive and visually stimulating
Covers a range of topics, from force analysis to internal force diagrams, providing a thorough foundation in statics
Taught by an experienced instructor with deep expertise in statics and mechanics
Suitable for learners from diverse backgrounds, including engineers, architects, and students with interests in forces and structures

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Reviews summary

Highly praised statics course

Learners say Mastering Statics is an engaging, educational course that is well worth your time. Students highlight its clear explanations, illustrative examples, and suitable difficulty level. There are a few minor issues, such as occasional quiz errors, but these do not detract from the overall positive experience.
Course is accessible for learners at varying levels.
"The course was amazing. I have only compliments to give."
"The course was good and at beginner level it is worth."
"I've really learned a lot from this course."
Concepts are clearly conveyed.
"Clearly explained the concepts."
"Excellent course for civil/mechanical engineers. The course material is really good and the Professor explains the concepts really well!"
"The lecture videos don't only focus on the advanced concepts but also helps us to grow from the very basics."
Some learners may desire more practice problems.
"What I wish this course had was more practice problems, so please know that going into this you only have the quizzes to do to test your knowledge of the concepts."
A few quizzes may have errors.
"Content is overall great and the teacher explains everything well, the main concern I have is that some of the quizzes need corrections (simply are wrong)."
"The quices are full of errors."

Activities

Coming soon We're preparing activities for Mastering Statics. These are activities you can do either before, during, or after a course.

Career center

Learners who complete Mastering Statics will develop knowledge and skills that may be useful to these careers:
Architectural Engineer
The skills you will learn in this course are fundamental to the work of an Architectural Engineer. You will learn how to analyze the forces and moments acting on a structure, and how to design and build structures that can withstand these forces.
Civil Engineer
The concepts covered in this course are fundamental to the work of a Civil Engineer. The ability to understand and calculate the forces and moments acting on a structure is essential for designing and building safe and efficient structures. This course will provide you with the knowledge and skills you need to succeed in this field.
Structural Engineer
This course will provide you with the knowledge and skills you need to succeed as a Structural Engineer. You will learn how to calculate the forces and moments acting on a structure, and how to design and build structures that can withstand these forces.
Nuclear Engineer
This course may be useful for Nuclear Engineers who are interested in designing and building nuclear power plants. The concepts covered in this course will help you to understand the forces and moments acting on these plants, and how to design them to withstand these forces.
Aerospace Engineer
This course may be useful for Aerospace Engineers who are interested in designing and building aircraft and spacecraft. The concepts covered in this course will help you to understand the forces and moments acting on these vehicles, and how to design them to withstand these forces.
Robotics Engineer
This course may be useful for Robotics Engineers who are interested in designing and building robots. The concepts covered in this course will help you to understand the forces and moments acting on these robots, and how to design them to withstand these forces.
Dentist
This course may be useful for Dentists who are interested in understanding the forces and moments acting on teeth and dental bridges. The concepts covered in this course will help you to understand how to design and build dental bridges that can withstand these forces.
Materials Engineer
This course may be useful for Materials Engineers who are interested in understanding the mechanical properties of materials. The concepts covered in this course will help you to understand the forces and moments acting on materials, and how to design materials that can withstand these forces.
Geotechnical Engineer
This course may be useful for Geotechnical Engineers who are interested in designing and building foundations for structures. The concepts covered in this course will help you to understand the forces and moments acting on these foundations, and how to design them to withstand these forces.
Metallurgical Engineer
This course may be useful for Metallurgical Engineers who are interested in understanding the mechanical properties of metals. The concepts covered in this course will help you to understand the forces and moments acting on metals, and how to design metals that can withstand these forces.
Automotive Engineer
This course may be useful for Automotive Engineers who are interested in designing and building cars. The concepts covered in this course will help you to understand the forces and moments acting on these cars, and how to design them to withstand these forces.
Mechanical Engineer
This course may be useful for Mechanical Engineers who are interested in designing and building mechanical systems that are subject to static forces. The concepts covered in this course will help you to understand the forces and moments acting on these systems, and how to design them to withstand these forces.
Marine Engineer
This course may be useful for Marine Engineers who are interested in designing and building ships. The concepts covered in this course will help you to understand the forces and moments acting on these ships, and how to design them to withstand these forces.
Petroleum Engineer
This course may be useful for Petroleum Engineers who are interested in designing and building oil and gas pipelines. The concepts covered in this course will help you to understand the forces and moments acting on these pipelines, and how to design them to withstand these forces.
Biomedical Engineer
This course may be useful for Biomedical Engineers who are interested in designing and building medical devices. The concepts covered in this course will help you to understand the forces and moments acting on these devices, and how to design them to withstand these forces.

Reading list

We've selected 14 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Mastering Statics.
This textbook covers both statics and mechanics of materials. It provides a thorough treatment of statics, with a focus on the application of principles to real-world engineering problems. It is commonly used as a textbook in statics and mechanics of materials courses.
This textbook concise and well-written introduction to statics. It provides clear explanations and numerous examples. It is commonly used as a textbook in statics courses.
Problem-solving guide for statics. It provides a large number of solved problems and practice exercises, along with clear explanations of the underlying principles. It useful resource for students who want to practice their problem-solving skills.
This textbook is written specifically for students in architecture and building construction. It covers the same topics as the course but with a focus on applications in these fields. It useful resource for students who want to learn about statics in the context of their future careers.
This textbook is written for students in engineering technology programs. It provides a practical approach to statics and strength of materials, with a focus on applications in industry. It useful resource for students who want to learn about statics in the context of their future careers.
This textbook is part of a two-volume series on engineering mechanics. It covers the same topics as the course, but with a more in-depth treatment. It useful resource for students who want to learn more about statics.
Simplified introduction to statics. It provides clear explanations and numerous examples, but it does not cover the same depth as the course. It useful resource for students who want to get a basic understanding of statics.
Classic reference on the theory of elasticity. It provides a comprehensive treatment of the subject, but it is more advanced than the course. It useful resource for students who want to learn more about the theoretical foundations of statics.
Collection of formulas and tables for stress and strain. It useful reference for engineers who need to design structures and machines.
Comprehensive reference on the analysis of stress. It provides a wide range of methods and techniques for solving stress problems. It useful resource for engineers who need to design structures and machines.
Comprehensive reference on the statics and strength of materials. It provides a thorough treatment of the subject, with a focus on applications in engineering. It useful resource for engineers who need to design structures and machines.
Comprehensive reference on the structural analysis of buildings and bridges. It provides a thorough treatment of the subject, with a focus on applications in engineering. It useful resource for engineers who need to design structures and machines.

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