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Leon Petrou

'The Complete Engineering Mechanics Course' makes complicated mechanics calculations easy.

This course includes video and text explanations of everything in engineering mechanics, and it includes more than 60 worked through examples with easy-to-understand explanations. 'The Complete Engineering Mechanics Course' is organized into five sections:

  1. Particle Equilibrium.

  2. Rigid Body Equilibrium.

  3. Structural Analysis.

  4. Centroids and Inertia.

  5. Internal Forces in Structural Members.

Read more

'The Complete Engineering Mechanics Course' makes complicated mechanics calculations easy.

This course includes video and text explanations of everything in engineering mechanics, and it includes more than 60 worked through examples with easy-to-understand explanations. 'The Complete Engineering Mechanics Course' is organized into five sections:

  1. Particle Equilibrium.

  2. Rigid Body Equilibrium.

  3. Structural Analysis.

  4. Centroids and Inertia.

  5. Internal Forces in Structural Members.

These are the five fundamental chapters in the study of engineering mechanics.

And here’s what you get inside of every lesson:

Videos: Watch over my shoulder as I solve problems for every single mechanics issue you’ll encounter in class. We start from the beginning... First I teach the theory. Then I do an example problem. I explain the problem, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each theory lesson is where you find the most important things to remember. The notes include tips and tricks on how to study as well as how to save time in tests and exams. Ultimately, I cover everything you need to know to pass your class and nothing you don’t.

One-On-One Assistance: You can ask me for mechanics help in the Q&A section any time, any day whether it's related to the video content or another problem you're struggling with at home. Either way, I'm here to help you pass and do the best you possibly can.

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What's inside

Learning objectives

  • Confidently tackle equilibrium equations, centroids, moments, inertia and more!
  • Master calculator skills to use to your advantage in solving mechanics problems.
  • Practice 100s of examples using the prescribed mechanics textbook and solution manual included in this course.
  • Gain a firm foundation in engineering mechanics for furthering your career.

Syllabus

Basic Concepts

User the textbook and solutions manual to practice problems and see how they're done.

SI Units and Prefixes

See 'Resources available' of this lecture to download the prescribed textbook and solution manual for this course absolutely free. 

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Significant Figures
SI Units with Significant Figures
Geometry Recap
Particle Equilibrium
Vector Opperations
Vector Operations- Additional Example 1
Vector Operations- Additional Example 2
Algebraic Vector Addition
Algebraic Vector Addition- Additional Example
Cartesian Vectors in Three Dimensions
Cartesian Vectors in Three Dimensions- Additional Example
Particle Equilibrium in Two Dimensions
Free Body Diagrams
Free Body Diagrams- Additional Example 1
Free Body Diagrams- Additional Example 2
Particle Equilibrium in Three Dimensions
Position Vectors and Vectors Directed Along a Line
Position Vectors and Vectors Directed Along a Line- Additional Example
Dot Product and Applications
Dot Product and Applications- Additional Example
Rigid Body Equilibrium
Moment of a Force
Moment of a Force- Additional Example
Moment of a Force Using Cross Product
Moment of a Force Using Cross Product- Additional Example
How to do the Cross Product on your Calculator?
Moment of a Force About a Point
Moment of a Force About an Axis or Line
Moment of a Force About an Axis or Line- Additional Example
The Moment of a Couple (Scalar)
The Moment of a Couple (Scalar)- Additional Example
The Moment of a Couple (Vector)
The Moment of a Couple (Vector)- Additional Example
Reduction of Force and Couple system to its Simplest Form
Reduction of Force and Couple system to its Simplest Form- Additional Example
Further Simplification of a Force and Couple System
Further Simplification of a Force and Couple System- Additional Example
Rigid Body Equilibrium in Two Dimensions
Rigid Body Equilibrium in Two Dimensions- Additional Example
Rigid Body Equilibrium in Three Dimensions
Structural Analysis
Two Force Members
Method of Sections
Method of Sections- Additional Example
How to Determine if a Member is in Tension or Compression
Simple Trusses
Zero Force Members
Zero Force Members- Additional Example
Frames and Machines
Frames and Machines- Additional Example
Centroids and Second Moments of Area
How to Calculate a Centroid
How to Calculate a Centroid- Additional Example
Centroid of a Wire
Reduction of a Simple Distributed Loading
Reduction of a Simple Distributed Loading- Additional Example
Moments of Inertia
Moments of Inertia- Additional Example
Internal Forces in Structural Members
Internal Forces in Structural Members - Example
Calculating Shear Force Example
Calculating the Bending Moment Example

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in The Complete Engineering Mechanics Course with these activities:
Review Vector Algebra
Reinforce your understanding of vector algebra, which is crucial for solving particle and rigid body equilibrium problems.
Browse courses on Vector Algebra
Show steps
  • Review the definitions of vectors and vector operations.
  • Practice solving vector addition and subtraction problems.
  • Work through examples of dot and cross product calculations.
Engineering Mechanics: Statics
Supplement your learning with a comprehensive textbook on statics to gain a deeper understanding of the subject matter.
Show steps
  • Read the relevant chapters in the textbook.
  • Work through the example problems in the textbook.
  • Solve additional practice problems from the textbook.
Solve Equilibrium Problems
Practice solving a variety of particle and rigid body equilibrium problems to solidify your understanding of free body diagrams and equilibrium equations.
Show steps
  • Draw free body diagrams for different scenarios.
  • Apply equilibrium equations to solve for unknown forces and moments.
  • Check your answers and identify any errors.
Four other activities
Expand to see all activities and additional details
Show all seven activities
Schaum's Outline of Engineering Mechanics: Statics
Use a Schaum's Outline to get extra practice and reinforce your understanding of statics concepts.
Show steps
  • Review the key concepts in the Schaum's Outline.
  • Work through the solved problems in the Schaum's Outline.
  • Solve additional practice problems from the Schaum's Outline.
Create a Formula Sheet
Compile all the important formulas and equations from the course into a single sheet for quick reference during problem-solving.
Show steps
  • Review all the course materials and identify the key formulas.
  • Organize the formulas into logical categories.
  • Write the formulas clearly and concisely on a single sheet.
Create a Cheat Sheet for Structural Analysis
Summarize key concepts and formulas related to structural analysis, such as the method of sections and the method of joints, to create a handy reference guide.
Show steps
  • Review the different methods of structural analysis.
  • Identify the key formulas and concepts for each method.
  • Organize the information into a concise and easy-to-read format.
Design a Simple Truss Structure
Apply your knowledge of structural analysis to design a simple truss structure that can support a given load.
Show steps
  • Determine the loads that the truss structure needs to support.
  • Select appropriate materials and dimensions for the truss members.
  • Analyze the truss structure using the method of joints or the method of sections.
  • Verify that the truss structure can safely support the applied loads.

Career center

Learners who complete The Complete Engineering Mechanics Course will develop knowledge and skills that may be useful to these careers:
Structural Engineer
A Structural Engineer designs and analyzes structures, ensuring their stability and safety. This course, covering particle and rigid body equilibrium, structural analysis, centroids, inertia, and internal forces, helps build a foundation for structural analysis. The course's structural analysis section, alongside its coverage of internal forces in structural members, may be particularly useful. Someone looking to become a structural engineer may find this course beneficial.
Mechanical Engineer
The field of mechanical engineering applies principles of engineering, physics, and materials science for the design, analysis, manufacturing, and maintenance of mechanical systems. This course covering engineering mechanics makes complicated calculations easier. This course helps build a foundation for further study in mechanical engineering. In particular, the sections on rigid body equilibrium and internal forces in structural members may be valuable to a future mechanical engineer.
Civil Engineer
Civil Engineering focuses on the design, construction, and maintenance of the physical and naturally built environment, including public works like roads, bridges, canals, dams, airports, sewerage systems, pipelines, structural components of buildings, and railways. The material in this course helps build a strong base for civil engineers. The course’s clear explanations of statics, equilibrium, and structural analysis may be very useful. This course is valuable to Civil Engineers.
Aerospace Engineer
An aerospace engineer designs, tests, and supervises the manufacturing of aircraft and spacecraft. This course provides a foundational understanding of engineering mechanics, which is essential for aerospace applications. The modules on particle equilibrium and rigid body equilibrium may be especially relevant. Aspiring Aerospace Engineers may find 'The Complete Engineering Mechanics Course' extremely helpful.
Engineering Consultant
An Engineering Consultant provides expert advice and guidance on engineering projects. The breadth of topics covered in this course, including equilibrium, structural analysis, and internal forces, helps build a solid foundation for providing informed recommendations. The course's emphasis on problem-solving and real-world examples is valuable for Engineering Consultants. An engineering consultant should take this course.
Automotive Engineer
Automotive Engineering is a branch of engineering that designs, develops, manufactures, and tests vehicles and their components. This course helps build a foundation in engineering mechanics. Automotive engineers require this knowledge to analyze vehicle structures and systems. The course’s coverage of internal forces in structural members and rigid body equilibrium may be valuable in this field.
Robotics Engineer
Robotics Engineers design, build, and program robots and robotic systems. This course may be useful for those hoping to enter the field. Specifically, the course’s explanations of rigid body equilibrium and structural analysis are relevant to understanding robot mechanics and stability. The course's focus on problem-solving provides a solid foundation for a robotics engineer.
Naval Architect
Naval architecture involves the design, construction, and repair of ships, boats, and other marine vessels and structures. This course may be useful for future naval architects given the course content on rigid body equilibrium and internal forces in structural members, along with the discussion of centroids and inertia. The course's emphasis on problem-solving provides a solid background for a naval architect.
Materials Scientist
Materials Scientists research and develop new materials and improve existing ones. This course may be beneficial as a foundation for understanding the mechanical behavior of materials under stress and strain. The modules on internal forces and structural analysis may be particularly useful. Someone who wants to enter this field may wish to take this course.
Quality Control Engineer
Quality Control Engineers ensure that products and systems meet specific quality standards. This course, though not directly focused on quality control, may enhance understanding of the structural integrity and mechanical properties of engineered products which can affect aspects of quality. The modules on structural analysis and internal forces may be relevant in some contexts. Consider taking this course if you wish to become a quality control engineer.
Technical Writer
Technical Writers create documentation for technical products and processes. While this course is not directly related to technical writing, improving one's grasp of engineering mechanics may enhance comprehension of technical subjects. This might be useful for producing accurate and clear documentation, in some cases. Those who wish to become technical writers may see value in this course.
Patent Attorney
Patent attorneys help inventors protect their inventions by preparing and prosecuting patent applications. This course may provide a better understanding of the technology underlying patent applications related to mechanical engineering. The course could be especially helpful for understanding the claims and specifications of patents in the field of engineering mechanics.
Science Teacher
Science Teachers educate students in scientific principles and methodologies. While this course is designed for engineering students, it may boost a science teacher's understanding of physics and mechanics. This can be helpful for teaching physics concepts related to force, motion, and equilibrium. Someone with plans to become a science teacher may find this course to be useful.
Project Manager
Project Managers oversee engineering projects from initiation to completion. While this course does not provide project management skills per se, it may offer a more thorough understanding of the engineering principles involved. This may be useful for managing projects that involve structural analysis or mechanical design.
Claims Adjuster
Claims adjusters investigate insurance claims to determine the extent of the insurer’s liability. While not directly related, this course could enhance a claims adjuster's understanding of structural failures in accidents. This may be relevant when assessing damages related to structural collapses or mechanical failures.

Reading list

We've selected two 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 The Complete Engineering Mechanics Course.
Comprehensive resource for statics, covering all the fundamental concepts and principles. It provides numerous examples and practice problems to help students develop their problem-solving skills. It is commonly used as a textbook in engineering mechanics courses at many universities. This book adds depth to the course by providing alternative explanations and a wider range of examples.
Provides a concise overview of statics concepts and includes hundreds of solved problems. It useful resource for students who need extra practice or want to review the material quickly. It is particularly helpful for students who struggle with problem-solving. This book is more valuable as additional reading and a reference tool.

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