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Engineering Mechanics: Statics (2024)
Rating: 4.7 out of 5(17 ratings)
1,013 students

Engineering Mechanics: Statics (2024)

Force vectors, equilibrium, structural analysis, internal forces, friction, center of gravity, centroid, moments
Last updated 4/2024
English
English [Auto],

What you'll learn

  • deep understanding of static equilibrium and its applications in engineering
  • to analyze and solve complex problems and its applications in engineering
  • to hone your critical thinking skills and problem-solving abilities as you tackle real-world engineering challenges
  • to lay the groundwork for advanced engineering courses by mastering the fundamental principles of statics
  • to develop the ability to calculate, predict, and control the effects of forces and moments on objects and structures

Course content

1 section12 lectures5h 51m total length
  • INTRODUCTION9:21

    No other subject plays a greater role in engineering analysis than mechanics.


    In this Lecture you will learn about the importance of studying and understanding Engineering Mechanics: Statics.


    Engineering mechanics is the foundation for most branches of engineering including civil, mechanical, aerospace, agricultural engineering, and others. Studying engineering statistics and mechanics can equip you for a wide range of opportunities and careers in the field of engineering and related areas. For instance,


    · Mechanical Engineering: Knowledge of mechanics is fundamental for mechanical engineers. You'll be well-prepared to design, analyze, and optimize mechanical systems and components.

    · Civil Engineering: Civil engineers use mechanics principles to design and analyze structures such as buildings, bridges, and roads.

    · Aerospace Engineering: Mechanics is crucial for designing and analyzing aircraft and spacecraft. Understanding statistics can be useful for data analysis and testing.

    · Automotive Engineering: This field requires a deep understanding of mechanics for designing and improving vehicles.

    · Material Science and Engineering: Mechanics plays a key role in understanding the behavior of materials, which is vital for developing new materials and improving existing ones.

    · Robotics and Automation: Mechanics is essential for designing and controlling robotic systems. Statistics can be valuable for analyzing data from sensors and optimizing control algorithms.

    · Manufacturing Engineering: Understanding mechanics is important for optimizing manufacturing processes and ensuring product quality.


    Also, as highlighted, this is the foundation for many engineering disciplines. Hence understanding the concepts of mechanics is crucial to strengthen problem-solving abilities.


    · Mechanics is a branch of physics that deals with the effects of forces on bodies.

    · Engineering mechanics is the application of mechanics to solve engineering problems.


    By learning the concepts of engineering mechanics, you can develop the capacity to predict the effects of force and motion on objects and bodies.


  • GENERAL PRINCIPLES34:43

    CHAPTER OBJECTIVES

    • To provide an introduction to the basic quantities and idealizations of mechanics.

    • To give a statement of Newton’s Laws of Motion and Gravitation.

    • To review the principles for applying the SI system of units.

    • To examine the standard procedures for performing numerical calculations.

    • To present a general guide for solving problems.

  • FORCE VECTORS33:28

    CHAPTER OBJECTIVES

    • To show how to add forces and resolve them into components using the Parallelogram Law.

    • To express force and position in Cartesian vector form and explain how to determine the vector’s magnitude and direction.

    • To introduce the dot product in order to use it to find the angle between two vectors or the projection of one vector onto another.

  • EQUILIBRIUM OF A PARTICLE22:33

    CHAPTER OBJECTIVES

    • To introduce the concept of the free-body diagram for a particle.

    • To show how to solve particle equilibrium problems using the equations of equilibrium.

  • FORCE SYSTEM RESULTANTS43:09

    CHAPTER OBJECTIVES

    • To discuss the concept of the moment of a force and show how to calculate it in two and three dimensions.

    • To provide a method for finding the moment of a force about a specified axis.

    • To define the moment of a couple.

  • EQUILIBRIUM OF A RIGID BODY22:39

    CHAPTER OBJECTIVES

    • To develop the equations of equilibrium for a rigid body.

    • To introduce the concept of the free-body diagram for a rigid body.

    • To show how to solve rigid-body equilibrium problems using the equations of equilibrium.

  • STRUCTURAL ANALYSIS38:41

    CHAPTER OBJECTIVES

    • To show how to determine the forces in the members of a truss using the method of joints and the method of sections.

    • To analyze the forces acting on the members of frames and machines composed of pin-connected members

  • INTERNAL FORCES49:05

    CHAPTER OBJECTIVES

    • To use the method of sections to determine the internal loadings in a member at a specific point.

    • To show how to obtain the internal shear and moment throughout a member and express the result graphically in the form of shear and moment diagrams.

    • To analyze the forces and the shape of cables supporting various types of loadings

  • FRICTION25:14

    CHAPTER OBJECTIVES

    • To introduce the concept of dry friction and show how to analyze the equilibrium of rigid bodies subjected to this force.

    • To present specific applications of frictional force analysis on wedges, screws, belts, and bearings.

    • To investigate the concept of rolling resistance.

  • CENTER OF GRAVITY AND CENTROID28:16

    CHAPTER OBJECTIVES

    • To discuss the concept of the center of gravity, center of mass, and the centroid.

    • To show how to determine the location of the center of gravity and centroid for a body of arbitrary shape and one composed of composite parts.

    • To use the theorems of Pappus and Guldinus for finding the surface area and volume for a body having axial symmetry.

    • To present a method for finding the resultant of a general distributed loading and to show how it applies to finding the resultant force of a pressure loading caused by a fluid.

  • MOMENTS OF INERTIA27:08

    CHAPTER OBJECTIVES

    • To develop a method for determining the moment of inertia for an area.

    • To introduce the product of inertia and show how to determine the maximum and minimum moments of inertia for an area.

    • To discuss the mass moment of inertia

  • VIRTUAL WORK17:08

    CHAPTER OBJECTIVES


    • To introduce the principle of virtual work and show how it applies

    • To find the equilibrium configuration of a system of connected members.


Requirements

  • Basic mathematics and physics knowledge

Description

Engineering Mechanics: Statics is a fundamental course that introduces students to the principles of static equilibrium and their applications in engineering and design. In this course, students will develop a strong foundation in understanding how forces and moments interact with structures and objects to maintain a state of rest or uniform motion. The course emphasizes problem-solving, critical thinking, and the practical application of statics principles to real-world engineering challenges.


Course Content:

  • Introduction to Forces and Moments

  • Vector Mathematics and Notation

  • Resultant and Equilibrium of Force Systems

  • Analysis of Trusses, Frames, and Beams

  • Frictional Forces and Applications

  • Center of Gravity and Moments of Inertia

  • Analysis of Planar Systems

  • Applications to Engineering Structures

Learning Outcomes:

By the end of the course, students will:

  • Master the fundamental principles of static equilibrium and its applications in engineering.

  • Develop problem-solving skills to analyze and solve complex engineering problems related to forces, moments, and equilibrium.

  • Gain proficiency in applying vector mathematics to represent and solve force systems.

  • Understand how to analyze and design trusses, frames, and beams for structural stability.

  • Apply the concepts of friction, center of gravity, and moments of inertia to practical engineering scenarios.

  • Demonstrate the ability to determine the stability and equilibrium of planar systems and structures.

Who Should Take This Course:

  • Engineering students in various disciplines (civil, mechanical, aerospace, etc.) seeking a foundational understanding of statics.

  • Pre-engineering students preparing for advanced engineering studies.

  • Professionals and enthusiasts interested in gaining knowledge of static equilibrium principles for career enhancement or personal interest.

Engineering Mechanics: Statics is an essential course for anyone pursuing a career in engineering or related fields. It provides the groundwork for advanced engineering courses and equips students with the skills and knowledge needed to analyze and design structures and systems in the engineering field.

Who this course is for:

  • The course is designed for individuals pursuing degrees or careers in engineering, particularly for those in the early stages of their engineering education