Conjugate Beam Method Part 3: Beam with varying EI | Slope & Deflection Explained |

In this lecture, we introduce the concept of the Conjugate Beam Method for beams with varying cross-section. Using a step-by-step approach and a clear example, we understand how bending stiffness (EI) changes along the length of a beam and how to incorporate it into slope and deflection calculations.

What you’ll learn in Part 3:

1. Concept of varying cross-section in beams

2. Relating M/EI diagram to slope & deflection via Conjugate Beam Method

3. Worked example with clear stepwise solution

4. How this concept connects to advanced problems in Part 4

???? Download Our FREE Learning App: https://cwcll.on-app.in/app/home?orgCode=cwcll&referrer=utm_source=copy-link&utm_medium=tutor-app-referral
???? Quizzes, Notes, PYQs & Full Video Series – All in One Place!
???? Click Here to Download

???? Useful For:

B.Tech / Diploma (Civil/Mech)

GATE, AE/JE, SSC JE aspirants

???? Watch Part 1 First → https://youtu.be/OSvvIo_z7dg

???? Full Playlist (Mechanics of Solids): [https://www.youtube.com/watch?v=Co4YlavCpeQ&list=PLIhUrsYr8yHx0aFXSQvT7nm6ivJSMKnAU]

In this lecture, we introduce the concept of the Conjugate Beam Method for beams with varying cross-section. Using a step-by-step approach and a clear example, we understand how bending stiffness (EI) changes along the length of a beam and how to incorporate it into slope and deflection calculations.

**Timestamps:**
- 0:00 – Introduction
- 0:30 – Quick Recap of Conjugate Beam Basics
- 1:30 – Numerical Problem Statement
- 3:00 – Real Beam Analysis
- 5:10 – Constructing the Conjugate Beam
- 7:30 – Assigning Support Conditions
- 9:50 – Solving for Reactions in Conjugate Beam
- 11:50 – Shear = Slope and Moment = Deflection Explanation
- 14:00 – Final Deflection Results & Summary


???? Subscribe for more Mechanics of Solids tutorials!

#MechanicsOfSolids #ConjugateBeamMethod #SlopeAndDeflection #StrengthOfMaterials #CivilEngineering #GATE

Manas Patnaik Affiliate Links
Boya Mic: https://amzn.to/2ZxQpYX
Samson Go Mic: https://amzn.to/2UpzRMV
Laptop: https://amzn.to/44GccfV
Wacom Writing Tablet: https://amzn.to/2LiRACM
My Cellphones: https://amzn.to/2NK8lbw
Tripod: https://amzn.to/2PEXB0Y
Webcam 1: https://amzn.to/4nkqcV0
Webcam 2: https://amzn.to/44gVtzv

Best Books for Mechanical Engineering:
1. Engineering Drawing: https://amzn.to/2ZLCtFR, https://amzn.to/2PUm6aD
2. Engineering Mechanics: https://amzn.to/2Zt1D0J, https://amzn.to/2LfHti1
3. Mechanics of Solids: https://amzn.to/2NPhjV4, https://amzn.to/2ZyKGCc
4. Fluid Mechanics and Hydraulic Machines: https://amzn.to/2ZwClyQ, https://amzn.to/2LhpaJh, https://amzn.to/2Zw8VRh
5. Thermodynamics: https://amzn.to/2Ls9gun, https://amzn.to/2ZKpCE6
6. Theory of Machines: https://amzn.to/2LhNWZL, https://amzn.to/2LpvFsn
7. Machine Design: https://amzn.to/2ZKq5pQ
8. IC Engine: https://amzn.to/2Lg22uI
9. Material Science: https://amzn.to/2Llb2xw, https://amzn.to/2LuZBnc
10. Production Engineering: https://amzn.to/2ZAXmso,
11. Manufacturing science: https://amzn.to/2Zu8Uxe, https://amzn.to/2ZAYxbi, https://amzn.to/2Zu90oA, https://amzn.to/2PGk9hH
12. Heat and Mass Transfer: https://amzn.to/2ZwhP19, https://amzn.to/34iB4Ks
13. Refrigeration and Air Conditioning: CP Arora, https://amzn.to/2zLfCzF
14. Operations Research: https://amzn.to/34k70OH, https://amzn.to/2NOlDUu
15. Industrial Engineering: https://amzn.to/2HHESLH
16. Engineering Mathematics: https://amzn.to/2HJWLcH, https://amzn.to/2ZrgoB8