CASTIGLIANO'S THEOREM in Just Over 10 Minutes!

Detailed yet concise explanation of this strain energy method, including FICTICIUOS FORCE and two full examples. For more examples, check the links below.

Castigliano's Theorem for Structure Deflection
Fictitious Forces
Singularity Functions Comparison

0:00 Why Deformation
0:48 Castigliano's Theorem Expression
2:10 Strain Energy Terms
2:49 Axial Loading Energy
3:28 Direct Shear Energy
3:49 Torsion Strain Energy
4:05 Bending Strain Energy
4:52 Transverse Shear Energy
5:20 Castigliano's Theorem Example
8:21 Fictitious Force, Q
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Mentioned Links:

STATICALLY INDETERMINATE Problems in 10 Minutes!
https://youtu.be/IAiyaFKm1ZQ

Design Factor and Uncertainty vs. Factor of Safety https://youtu.be/HZZWWpF45pw

ANGLE OF TWIST and Statically Indeterminate in 13 Minutes!
https://youtu.be/ZxVkU4O-974

PURE BENDING and Parallel Axis Theorem in 12 Minutes!
https://youtu.be/8btK_PhC-2A

Everything about BEAM DEFLECTION in 13 Minutes!
https://youtu.be/IW9uvArmypg

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Examples:

Example 1: https://youtu.be/-IAaMWJwuzE
Example 2: https://youtu.be/TV4-Adl-4Dk
Example 3: https://youtu.be/7tcNJTDhzkE

Statically Indeterminate Examples:
https://www.youtube.com/watch?v=fWFfZ1yRdX4
https://www.youtube.com/watch?v=Vqqe-_-d_8w

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Previous Video: Uncertainty of Variables for Design Factor Calculations (Including Tolerance Analysis) in 10 Minutes
https://youtu.be/_pHt_g0oLYs

Next Video: Fracture Toughness and Crack Modes in Under 10 Minutes
https://youtu.be/3CPRRov7DRk

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Other "Mechanical Engineering Design 1" Links:

1. Axial Loading Review https://youtu.be/d-ZriY-TWKI
2. Torsion Review https://youtu.be/Nem1IabOLsk
3. Pure Bending and Deflection Review https://youtu.be/KgpxCEKHKmY
4. Pure Bending and Deflection Combined Example https://youtu.be/SS0lXhKz1M0
5. Shear and First Moment About Neutral Axis Review https://youtu.be/ynSo2bXbIX0
6. Mohr's Circle Review https://youtu.be/Xc3VzDy5Ik4
7. Brittle Failure Theories - Fracture Criteria https://youtu.be/D7aoVr7qzGc
8. Ductile Failure Theories - Yield Criteria https://youtu.be/YlRwO56r2UU
9. Design Factor and Uncertainty vs. Factor of Safety https://youtu.be/HZZWWpF45pw
10. Tolerance Stack Ups and Tolerance Loops https://youtu.be/_pHt_g0oLYs
11. Castigliano's Theorem https://youtu.be/JH6iOhOe8h0
12. Fracture Toughness https://youtu.be/3CPRRov7DRk
13. Crack Propagation https://youtu.be/wLm_IjFcltA
14. Fatigue SN Diagrams https://youtu.be/bKisZhBzQsU
15. Marin Factors and Corrected Endurance Limit https://youtu.be/kZwl9Jysk64
16. Fatigue Stress Concentration and Notch Sensitivity Factors https://youtu.be/nCEn924X2aI
17. Fatigue Failure Criteria https://youtu.be/mAJsN1_IY2U
18. Shaft Design and Iterative Process https://youtu.be/Fp5-jjmaksM
19. Power Screws – Torque to Force Relationship https://youtu.be/BstZUC4tcOA
20. Screw Thread Stress https://youtu.be/46lcuQYQ14g
21. Fastener and Member Stiffness https://youtu.be/CDmvSRMwCyQ
22. Bolt Tension https://youtu.be/NsJ0uS7sZxo
23. Proof Strength and Factors of Safety https://youtu.be/j6B433Xdtb0
24. Spring Stress and Spring Constant https://youtu.be/5Vv1NBvpG4Y
25. Shearing Yield Strength and Presetting https://youtu.be/iGED8XYE3PI
26. Springs Fatigue – Zimmerli Data https://youtu.be/Y29Q-Q91xlk
27. Spring Design Restrictions https://youtu.be/dsWQrzfQt3s
28. Extension Springs https://youtu.be/wKzU2s9bEA8
29. Gear Relations and Nomenclature https://youtu.be/NF8fpuczU5I
30. Gear Trains and Planetary Gears – Mechanical Advantage https://youtu.be/zE4HGKRufU0
31. Spur Gear Forces and Force Components https://youtu.be/UieUEBnO5ps
32. Helical and Bevel Gear Forces https://youtu.be/921ToiOynMA
33. Worm Gear Forces https://youtu.be/7cNR4YJ1cnI
34. Bending Stress at the Teeth – Lewis Form Factor https://youtu.be/J1i29j43trM
35. Pitting - Surface Compressive Stress https://youtu.be/g2q-S6SJ9n4
36. Bearing Radial Loads https://youtu.be/aU4CVZo3wgk
37. Bearing Reliability https://youtu.be/HxnOMUx7w3o
38. Bearing Axial Loads and Equivalent Combined Loads https://youtu.be/3b8yOMSWXXk

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