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Engineering Mechanics: Statics

Name: Engineering Mechanics: Statics
Rating: 4.5 (14 reviews)

The study of equilibrium of rigid bodies at rest, centroid, friction and more.

Created byBaskar P

Last updated 11/2023

English

What you'll learn

Understand the concepts and laws of engineering mechanics.
Resolve and combine the forces acting on a system.
Convert a single force into a force and couple system.
Estimate the reaction forces exerted by the supports of various types of beams.
Apply the conditions of equilibrium according to the given condition during design process..
Locate the centroid of plane figures and calculate the second moment of area of any composite sections.
Understand the concept of friction and its importance in the real world problems.

Course content

8 sections • 56 lectures • 6h 11m total length

Course Welcome2:32

Introduction to Engineering Mechanics10:26
System of Forces12:00
Resultant, Equilibrium and Equilibrant6:01
Numerical Example on Parallel Forces-12:55
Three like parallel forces are acting at points A, B, and C of a beam as shown in Figure.
Find the resultant force and its location.
Numerical Example - Resultant Force6:03
Determine the resultant force of the system of forces as shown in Fig.
Numerical Example - Resultant Force4:45
Determine the resultant force of the system of forces as shown in Fig.
Numerical Example - Resultant Force3:54
Determine the magnitude and the direction of the resultant force of a system of forces as shown in Fig.
Numerical Example - Resultant Force3:25
Determine the magnitude and the direction of the resultant force of a system of forces as shown in Fig.
Fundamentals of Engineering Mechanics

Rectangular Components of a Force3:37
Composition and Resolution of Forces7:48
Numerical Example of Method of Resolution3:53
Numerical Example of Method of Resolution5:06
Determine the magnitude and direction (theta) of the force F so that the particle is in equilibrium.
Parallelogram Law of Forces6:01
Numerical Example on Parallelogram Law of Forces5:26
Determine the resultant R of the two forces applied to the bracket as shown in Figure. Also, find the direction of the resultant with respect to x and x'-axes.
Find the tension in the 65-degree inclined cable and the reactions at the pin. Show all the work clearly.
Lami's Theorem1:58
If three concurrent forces acting at a point are in equilibrium, then each force is
proportional to the sine angle of the other two forces.
Numerical Example of Lami's Theorem-14:10
An electric light fixture weighing 20 N hangs from a point C, by two strings AC and BC. AC is inclined at 40o to the vertical and BC is at 65o to the horizontal. Determine the forces in the
strings AC and BC.
Numerical Example of Lami's Theorem-216:32
A light string ABCDE whose one end A is fixed has weights W1 and W2 at the points B and C.
The string passes through a smooth peg at D and carries a weight of 50 N at the free end E.
In the equilibrium position, the string BC is horizontal and AB, CD makes angles of 150o
and 120o respectively, with BC. Determine the following:
(i) The weights W1 and W2, (ii) The tension in the portions AB, BC, CD and DE of the string
(iii) The reaction exerted at the peg.
Numerical Example of Concurrent Forces-17:38
Determine the resultant of the system of forces as shown in Figure.
Numerical Example of Concurrent Forces-210:24
Determine the resultant of the system of forces as shown in Figure.
Numerical Example of Method of Resolution6:37
Determine the resultant of the system of forces acting at a point "O" as shown in Fig.
Numerical Example-Parallelogram Law of Forces3:32
Determine the magnitude and direction of the resultant of the two forces that are applied on an eye bolt as shown in Fig.
Numerical Example-Method of Resolution4:18
Determine the magnitude and direction of the resultant of the two forces that are applied on an eye bolt as shown in Fig.
Equilibrium of Particles

Internal Forces, External Forces and Principle of Transmissibility.6:43
Moment of a Force5:50
Numerical Example of Reactions-Lamis Theorem3:25
A sphere of weight 100 N rests in a channel as shown in Fig. Determine the reactions at the salient points.
Numerical Example for Lami's Theorem and Method of Resolution8:10
A rectangular channel of width 220 mm accommodates two cylinders as shown in the Figure. Find the reactions at all the salient points.
Numerical Example for Lami's Theorem and Method of Resolution10:01
Two identical rollers, each of weight 1000N are supported by an inclined plane making an inclination of 30^o to the horizontal and a vertical wall, as shown in Fig.
(i) Sketch the free-body diagrams of the two rollers.
(ii) Assuming smooth surfaces, find the reactions at the support points.
Numerical Example on Force and Couple System4:13
Convert the given system of forces into a single force and a couple moment at point A.
Numerical Example on System of Forces3:27
Convert the given system of forces into a single force and a couple moment at point A.
Equilibrium of Rigid Bodies

Beams, Supports and Reactions6:00
Numerical example of Support Reactions3:53
A simply supported beam of span 10 m is loaded as shown in Fig. Determine the reactions at its ends.
Numerical Example of Support Reactions_SS Beam4:53
Numerical Example of Support Reactions-37:33
An overhanging beam is loaded as shown in Fig. Find the reactions at the supports.
Numerical Example of Support Reactions-Overhanging Beam11:32
Determine the reactions at the supports of an overhanging beam loaded as shown in Fig.
Numerical Example8:51
E
Numerical Example11:50
E
Numerical Example - Support Reactions - Cantilever Beam - Part-14:51
Students perform experiment in a Mechanics Laboratory by hanging two masses 8kg and 4kg on a beam as shown in Fig. Determine the reactions at the fixed support of the beam if (i) the free end of the beam does not touch the support E and (ii) the support E exerts a force of 7N on the free end of the beam.
Numerical Example - Support Reactions - Cantilever Beam - Part-23:49
Students perform experiment in a Mechanics Laboratory by hanging two masses 8kg and 4kg on a beam as shown in Fig. Determine the reactions at the fixed support of the beam if (i) the free end of the beam does not touch the support E and (ii) the support E exerts a force of 7N on the free end of the beam.
Support Reactions

Important Definitions and Determination of Centre of Gravity of Plane Figures.11:50
Numerical Example of Centroid_T-Section5:07
Find the centroid of the T-section as shown in Fig. (All dimensions are in mm)
Numerical Example on Centroid (Composite Section-2)6:48
Numerical Example on Centroid10:41
Determine the centroid of the composite section as shown in Fig. (All dimensions are in mm)
Centroid and Centre of Gravity

Second Moment of Area-Introduction and MOI for Simple Configurations.9:40
Numerical Example of Second Moment of Area of Unequal I-section7:04
Find the moment of inertia about the horizontal axis passing through the centroid of the I-section shown in the Figure.
Numerical Example of Second Moment of Area_Hollow Rectangular Section3:21
Find the moment of inertia of the hollow rectangular section about its centroidal axis x-x as shown in Fig.
Moment of Inertia_Home Work2:31
Find the moment of inertia of the hollow rectangular section about its centroidal axis y-y as shown in Fig.
Numerical Example of Second Moment of Area of a Composite Plane Figure-113:34
Numerical Example of Second Moment of Area of a Composite Section-23:50
Determine the second moment of area of the composite section as shown in Fig. about x-axis.

Friction12:31
Friction-Introduction, Theory, Coefficient of friction, Total reaction, Angle of friction, Cone of friction, and Angle of repose
Classification of Friction and Laws of Friction.4:15
In this lecture, you will learn the classification of friction and the laws of friction in detail.
Numerical Example of Friction-Horizontal Plane8:53
A block resting on a rough horizontal plane requires a pull of 180 N at an angle of 30o to the plane just to move it. Determine the weight of the block and the coefficient of friction between the plane and the block if it requires a push of 220 N at an angle of 30o to the plane just to move it.
Numerical Example of Friction on Inclined Plane5:27
Block A block weighing 20 N is a rectangular prism resting on a rough horizontal plane as shown in Figure. The block is tied up by a horizontal string which has a tension of 7 N.
Find the (i) frictional force, (ii) normal reaction exerted by the inclined plane, and (iii) coefficient of friction between the block and the plane.
Numerical Example of Friction on Inclined Plane-Two Blocks with String7:00
A block of weight 100 N impends down the plane as shown in Fig. The plane makes an inclination of theta with respect to horizontal. If the coefficient of friction for all the surfaces is 0.3, find the value of the angle theta.
Numerical Example of Example-Ladder-16:48
A 200N uniform ladder of 3m long leans against a smooth wall at an angle of 50 to the floor. Calculate the force exerted on the ladder by the wall and the floor. Take the coefficient of friction between the floor and the ladder as 0.25.
Numerical Example of Example-Ladder-28:30
A uniform ladder weighing 250N and 5m long has lower end B resting on the floor and the upper end A resting against a vertical wall. The inclination of the ladder with horizontal is 60˚. If the coefficient of friction at all the surfaces of contact is 0.25, determine the distance a man weighing 600N can climb up the ladder a man without causing the ladder to slip.
Friction

Requirements

Basic understanding of Mathematics and Physics.
Few hours of time with interest to learn the concepts.
Pen, Notebook, Scientific calculator, and laptop/computer/smart phone with stable internet connection.

Description

What is Statics in Engineering Mechanics?

Statics is a branch of Engineering Mechanics that deals with the effects of external forces acting on a body at rest.

How will this course help me in my studies and career?

Engineering Mechanics is one of the core subjects in the field of engineering and technology. This subject improves your analytical skills and thinking power. That is why Engineering Mechanics is considered a core subject for engineering students at all universities worldwide.

This course will teach you how the bodies react if you apply certain forces at certain points of the bodies. At the end of the course, you will be able to draw out the important information from the descriptive real-world problems and perform mathematical modeling and calculation to obtain the solution. This is what you call a problem-solving ability. Also, you will be able to apply the concepts in other areas of engineering applications. In other words, you will be able to utilize the skills and knowledge gained from this course in advanced-level subjects like Strength of Materials, Machine Design, Design of Structures, and so on. Even after the successful completion of your Engineering Degree, this subject will be the base for your day-to-day engineering activities.

What will you learn from this course?

In this course, you will learn

Basic Concepts of Engineering Mechanics
Equilibrium of Particles and Rigid Bodies
Supports, Reactions, Beams, and Loads
Center of Gravity, Moment of Inertia, and more...

What is the benefit of taking this course?

My major objective is to teach you the concepts so that you will be able to easily understand them and have enough confidence to solve any problem related to Mechanics. So, I put myself in your shoes and carefully designed and presented this course. I am sure that you will be able to grasp the concepts in less time compared to other courses. I always strive to improve the quality of the course by getting feedback from students like you.

This course will help you understand various subjects like Fluid Mechanics, Dynamics of Machinery, Aircraft Structures, Structural Analysis, and so on.

How to gain maximum benefit from the course?

My best suggestion is to ...

Sit in a calm and quiet place with a notebook, pen, and scientific calculator and start learning the modules according to your convenience.
Note down the important points and solve the numerical examples in parallel to the lectures.
Complete the quizzes, assignments, and exercises provided in the course.
Try to answer your university/institute questions related to the concepts you learned here to get confidence.

Should I require any books for the course?

No. You don't need any books. The course has been designed by referring to the following books (Author names are in alphabetical order), and you may also refer to these books:

Vector Mechanics for Engineers – Beer and Johnston
Engineering Mechanics: Statics – Hibbeler
Engineering Mechanics: Statics – Meriam and Kraige

What support will you get?

You will get answers to your questions, doubts, and clarifications within 24 hours of submitting your queries, additional resources within 48 hours, and regular updates.

Please watch the Free Preview videos, and if you like the approach, you can ENROLL and start learning.

I hope to see you in the course.

Thank You!

Who this course is for:

First year and second year Engineering students.
Fresh engineering graduates preparing for competitive examinations and job interviews.
Practicing engineers, consultants and others who want to refresh their knowledge.

Engineering Mechanics: Statics

What you'll learn

Explore related topics

Course content

Introduction to the Course1 lecture • 3min

Fundamentals of Engineering Mechanics8 lectures • 49min

Equilibrium of Particles14 lectures • 1hr 27min

Equilibrium of Rigid Bodies7 lectures • 42min

Beams and Support Reactions9 lectures • 1hr 3min

Centroid and Centre of Gravity4 lectures • 34min

Second Moment of Area6 lectures • 40min

Friction7 lectures • 53min

Requirements

Description

Who this course is for: