Radius of Curvature Equation Derivation

Main Video: Bending Review for Mechanical Design in Under 10 Minutes
• Bending Review for Mec...
Example 1: • Bending Stress in a T-...
Example 2: • Bending Stress in an I...
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Other "Mechanical Engineering Design 1" Links:
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2. Torsion Review • Torsion Review for Mec...
3. Pure Bending and Deflection Review • Bending Review for Mec...
4. Pure Bending and Deflection Combined Example • Deflection of Beams Re...
5. Shear and First Moment About Neutral Axis Review • Transverse Shear Revie...
6. Mohr's Circle Review • COMPLETE Mohr's Circle...
7. Brittle Failure Theories - Fracture Criteria • Brittle Failure Theori...
8. Ductile Failure Theories - Yield Criteria • Ductile Failure Theori...
9. Design Factor and Uncertainty vs. Factor of Safety • DESIGN FACTOR and Unce...
10. Tolerance Stack Ups and Tolerance Loops • Uncertainty for Design...
11. Castigliano's Theorem • Castigliano's Theorem ...
12. Fracture Toughness • FRACTURE TOUGHNESS and...
13. Crack Propagation • CRACK PROPAGATION and ...
14. Fatigue SN Diagrams • Fatigue (Strength-Numb...
15. Marin Factors and Corrected Endurance Limit • Marin Factors for ENDU...
16. Fatigue Stress Concentration and Notch Sensitivity Factors • Fatigue STRESS CONCENT...
17. Fatigue Failure Criteria • Fatigue FAILURE CRITER...
18. Shaft Design and Iterative Process • Shaft Design for INFIN...
19. Power Screws - Torque to Force Relationship • Power Screws - Torque ...
20. Screw Thread Stress • Stresses at Screw Thre...
21. Fastener and Member Stiffness • Bolt (Fasteners) and M...
22. Bolt Tension • BOLT TENSION and Tensi...
23. Proof Strength and Factors of Safety • PROOF STRENGTH - Facto...
24. Spring Stress and Spring Constant • Mechanical Springs - S...
25. Shearing Yield Strength and Presetting • Springs - PRESETTING a...
26. Springs Fatigue - Zimmerli Data • Springs Fatigue and ZI...
27. Spring Design Restrictions • Mechanical SPRING DESI...
28. Extension Springs • EXTENSION SPRING Desig...
29. Gear Relations and Nomenclature • GEARS BASICS - Nomencl...
30. Gear Trains and Planetary Gears - Mechanical Advantage • Gear Trains and PLANET...
31. Spur Gear Forces and Force Components • Gear Forces and Power ...
32. Helical and Bevel Gear Forces • Gear Forces of HELICAL...
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34. Bending Stress at the Teeth - Lewis Form Factor • LEWIS BENDING STRESS a...
35. Pitting - Surface Compressive Stress • Gear PITTING - Surface...
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38. Bearing Axial Loads and Equivalent Combined Loads • Bearings - COMBINED Ra...

[@kukoorooza1941]

This is one of the most concentrated videos I've seen on UA-cam! Awesome! Thank you :)

[@ahmedelaraby7656]

Unbelievable, these videos, this channel, is just amazing! definitely deserves more attention. Great work

[@adrianesantos1016]

the only channel i came up with that was able to answer my question. thank u very much.

[@Daniel-vd4uy]

a lot to digest but short and sweet absolutley loved it!!!

[@sussushi]

so concise and beautiful!

[@solcarzemog5232]

Perfect, concise, understandable (given you've seen some calculus before). Just pause, take notes and develope.

[@Aditya_vlogs-]

Nicely explained. Thanks. It would have been more simple if you would have directly done (ds/dθ = (ds/dx)(dx/dθ) = (ds/dx)/(dθ/dx) where θ=arctan(dy/dx). With love from India 🇮🇳.

[@mahbubalam-fh6pj]

Thank you. And take love from 🇧🇩

[@hariharan369]

And this is what I expected 🔥

[@bhanuprakashreddy1940]

Excellent....and very nice

[@opescet4297]

beautifully explained

[@Rajan_k_2004]

Best explanation !!!
❣ Thank you so much ❣

[@footballCartoon91]

is it possible to find x and y coordinate of the curvature from this formula ?.

[@henrytzuo8517]

Thank you so much!! This is simple and clear!!

[@AJ-et3vf]

Great video sir. Thank you

[@meharsamba]

Ohk...i have an impeller. I want to find the radius of the arc of the vane of that impeller. Can i use this in that ?

[@krishnamakwana7825]

Truly op bro 🔥

[@nuedutube5500]

how to make this video???
plz,, tell me.

[@BerhanuRamo]

thanks

[@sjdnfjnj]

thanks a lot

[@kamaltalukdar2399]

Amaging 🙂

[@mohamedhatem3694]

Thanks bro

[@Soumyabrata-te2dm]

thanks...

[@lakshmanmaddi3763]

Cool

[@nolca]

this is based on ds = ρ·dθ, not from scratch :-(

[@victor1978100]

Trying to be less boring you forgot to mention that the theta is a function of the x. The theta changes as the x changes.

[@meharsamba]

No way its that simple...are you kidding me ?? I spent 2 weeks trying to comprehend this shit, watchimg bachelors level of Mathematic...wtf...i gotta try this...i have to find the radius of the impeller vane...if i consider the start point of vane as 0,0 maybe i can substitute incremental values and use this to get the radius of curvature of the vane..