Engineering Mechanics: Statics 1

Learn how Forces interact with Rigid Bodies at Rest, how resultants are calculated and how equilibrium is established.

What you'll learn

Understand Force as a Vector. Resolve force into components. Learn calculating resultant using Triangle, Parallelogram and Polygon Laws.

Understanding State of Rest under Single Force, Two Force, Three Forces and higher and its conditions. Free Body Diagram. Sine Rule and Lami's Theorem

How Forces in 3D Space are expressed using Vectors. Resolving such forces in x, y and z components. Resultants of such concurrent 3D forces using Examples.

Structures aka Truss, its terminology with examples. Assumptions, Criterion and Classification of a Truss. Applying Method of Joints and Method of Sections.s

Requirements

So, you’ve set your sights on my Engineering Mechanics Extravaganza course, eh? Buckle up, because we’re about to embark on a wild ride through the riveting world of forces, torques, and equilibrium. But wait, before you leap headfirst into this mechanical maelstrom, let’s check if you’ve got the right tools in your toolbox! Here are the prerequisites for joining my turbocharged course:

1. A Passion for Physics: If you’ve ever stared at a falling apple and wondered, “Hmm, what’s the gravitational acceleration here?”—you’re already halfway there!

2. Basic Math Skills: Fear not, my friend! We won’t be solving differential equations while riding unicycles. But a solid grasp of algebra and trigonometry will keep you from getting lost in the mathematical Bermuda Triangle.

3. A Sense of Adventure: Imagine you’re Indiana Jones, but instead of hunting ancient artifacts, you’re chasing down the elusive equilibrium point of a wobbly ladder. Adventure awaits!

4. A Willingness to Yell “Eureka!”: When you finally understand the difference between static and dynamic equilibrium, you’ll want to shout it from the rooftops. Go ahead, I won’t judge!

5. We’ll unpack Newton’s laws, toss in some vectors, and juggle equilibrium like circus performers. Expect a few “aha” moments along the way.

And there you have it! If you meet these requirements, congratulations—you’re ready to join the ranks of the mechanically enlightened!

So grab your slide rules, adjust your imaginary hard hat, and let’s defy gravity together. Enroll now, and remember: In Engineering Mechanics, we don’t just lift weights; we lift spirits!

Description

Are you ready to dive headfirst into the riveting world of Statics 1.0 ? Buckle up, because we’re about to turn everyday objects into physics playgrounds. Let’s break down what awaits you:1. Principles of Statics and Concurrent Forces: Ever tried balancing a stack of textbooks while riding a unicycle? If not, don’t worry—we’ll simulate it in our minds! You’ll learn to juggle vectors like a circus performer (minus the clown makeup). By the end of this chapter, you’ll be the life of the party at physics gatherings.2. Equilibrium of Rigid Bodies: Picture this: You’re at a seesaw with a penguin on one end and a flamingo on the other (because why not?). We’ll analyze forces, moments, and equilibrium like seasoned detectives. Both Graphical and Analytical Methods will be discussed in depth.3. 3D Forces in Space: Lets enter the Real world where we encounter forces in the 3D space. Resolving such forces into components and calculating their resultants will be the major tasks.4. Trusses: Imagine a spider web made of steel beams. That’s a truss! We’ll dissect these skeletal structures, calculate their internal forces, and ensure they’re as sturdy as Thor’s hammer.But wait, there’s more! Bonus Round: Impress your friends by explaining why the Leaning Tower of Pisa hasn’t face-planted yet. (Hint: It’s all about the center of mass doing a delicate ballet.)Superpower Unlocked: Spot equilibrium in everyday life. Suddenly, that teetering stack of pizza boxes becomes a physics puzzle waiting to be solved. (Extra cheese, extra equilibrium!)Certificate of Awesomeness: Upon completion, you’ll receive a digital badge that screams, “I conquered Engineering Mechanics, and all I got was this cool certificate!” Frame it, wear it as a cape, or use it to impress potential employers. So grab your slide rules, adjust your imaginary hard hat, and let’s defy gravity together. Remember: In this course, we don’t just lift weights; we lift spirits!

Overview

Section 1: Principles of Statics and Concurrent Forces

Lecture 1 What are SCALARS ?

Lecture 2 What are VECTORS ?

Lecture 3 What are Coplanar Forces ?

Lecture 4 Concurrent Coplanar Forces

Lecture 5 Parallel Coplanar Forces

Lecture 6 Triangle Law of Vector Addition

Lecture 7 Parallelogram Law of Vector Addition

Lecture 8 Polygon Law of Vector Addition

Lecture 9 Example 1 on Resultants

Lecture 10 Example 2 on Resultants using Graphical Technique

Lecture 11 Example on Resultant Calculation using Vector Notations aka Base Vectors

Lecture 12 Example on Resultant of Forces along Hexagon Diagonals

Lecture 13 Moment of a Force

Lecture 14 Varignon's Theorem aka Theorem of Moments

Lecture 15 Example on Resultant's exact location using Varignon's Theorem

Section 2: Equilibrium of a Rigid Body in 2D

Lecture 16 Understanding Equilibrium and its Conditions

Lecture 17 Equilibrium under a Single Force

Lecture 18 Equilibrium under Two Forces

Lecture 19 Equilibrium under Three Forces

Lecture 20 What If ?

Lecture 21 Sine Rule for Triangles

Lecture 22 Lamis Theorem for Three Concurrent Forces

Lecture 23 Equilibrium under Four or more Forces

Lecture 24 Types of Support and Support Reactions

Lecture 25 Create Free Body Diagrams like a PRO

Lecture 26 Example on Cylinders in Contact with each other

Lecture 27 Example on Equilibrium of a Sphere

Lecture 28 Example on Minimum Force to raise a Cylinder through a Step

Lecture 29 A Crazy Equilibrium Problem to hold a lamp via Spring and a String

Lecture 30 A problem on Equilibrium of a Prismatic Bar

Section 3: Forces in Space_3D

Lecture 31 Base Vectors and Forces in 1D

Lecture 32 Forces in 2D

Lecture 33 Forces in 3D

Lecture 34 Rectangular Components of Forces in 3D

Lecture 35 Type 1_Examples on Components of Forces in Space

Lecture 36 Type 2_Examples on resultant of concurrent forces in space

Lecture 37 Type 3_Examples on Equilibrium of Concurrent Forces in space

Lecture 38 Type 4_Examples on Resultant of Parallel Forces in Space

Section 4: Trusses

Lecture 39 What's a TRUSS ?

Lecture 40 Assumptions for Analysis of Truss

Lecture 41 Truss Criterion and Classification

Lecture 42 Example 1 on Method of Joints

Lecture 43 Example 2 on Method of Joints

Lecture 44 Example 1 on Method of Section

Lecture 45 Example 2 on Method of Section

1. Engineering Enthusiasts: If you’re the type who disassembles toasters just to see how they work (and occasionally puts them back together), this course is your backstage pass to the mechanics show!,2. Engineering Students: Whether you’re a fresh-faced undergrad or a seasoned grad student, buckle up! We’ll dive into forces, moments, and equilibrium like it’s a high-speed chase through a physics-themed amusement park.,3. Physics Lovers: Ever wondered why bridges don’t crumble under the weight of rush-hour traffic? Or why your bicycle doesn’t spontaneously combust when you pedal uphill? Join us, fellow physics aficionados!,4. Future Inventors: If you’ve ever scribbled designs for a perpetual motion machine on the back of your math notebook (admit it, we all have), this course will fuel your creative fire.,So, my dear students, fasten your seatbelts, adjust your imaginary hard hats, and let’s rev up those brain gears. The road to understanding mechanics is paved with curiosity, equations, and a dash of magic