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!
   • STATICALLY INDETERMINATE Structures i...  

Design Factor and Uncertainty vs. Factor of Safety    • DESIGN FACTOR and Uncertainties for M...  

ANGLE OF TWIST and Statically Indeterminate in 13 Minutes!
   • Torsion, Angle of Twist and STATICALL...  

PURE BENDING and Parallel Axis Theorem in 12 Minutes!
   • PURE BENDING and Parallel Axis Theore...  

Everything about BEAM DEFLECTION in 13 Minutes!
   • Bending and BEAM DEFLECTION in 13 Min...  

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Examples:

Example 1:    • Castigliano's Theorem - Slope of Beam...  
Example 2:    • Castigliano's Theorem - 3D L-Shaped B...  
Example 3:    • Castigliano's Theorem - T-Shaped Hand...  

Statically Indeterminate Examples:
   • Two-Section Rod Between Walls - Axial...  
   • STATICALLY INDETERMINATE Torsion in 2...  

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Previous Video: Uncertainty of Variables for Design Factor Calculations (Including Tolerance Analysis) in 10 Minutes
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Next Video: Fracture Toughness and Crack Modes in Under 10 Minutes
   • FRACTURE TOUGHNESS and Crack Modes  i...  

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Other "Mechanical Engineering Design 1" Links:

1. Axial Loading Review    • Axial Loading Review for Mech Design ...  
2. Torsion Review    • Torsion Review for Mechanical Design ...  
3. Pure Bending and Deflection Review    • Bending Review for Mechanical Design ...  
4. Pure Bending and Deflection Combined Example    • Deflection of Beams Review for Mechan...  
5. Shear and First Moment About Neutral Axis Review    • Transverse Shear Review for Mechanica...  
6. Mohr's Circle Review    • COMPLETE Mohr's Circle Review in Just...  
7. Brittle Failure Theories - Fracture Criteria    • Brittle Failure Theories - Facture Cr...  
8. Ductile Failure Theories - Yield Criteria    • Ductile Failure Theories - Yield Crit...  
9. Design Factor and Uncertainty vs. Factor of Safety    • DESIGN FACTOR and Uncertainties for M...  
10. Tolerance Stack Ups and Tolerance Loops    • Uncertainty for Design Factor Calcula...  
11. Castigliano's Theorem    • CASTIGLIANO'S THEOREM in Just Over 10...  
12. Fracture Toughness    • FRACTURE TOUGHNESS and Crack Modes  i...  
13. Crack Propagation    • CRACK PROPAGATION and Paris Equation ...  
14. Fatigue SN Diagrams    • Fatigue (Strength-Number of Cycles) S...  
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23. Proof Strength and Factors of Safety    • PROOF STRENGTH - Factors of Safety fo...  
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26. Springs Fatigue – Zimmerli Data    • Springs Fatigue and ZIMMERLI Analysis...  
27. Spring Design Restrictions    • Mechanical SPRING DESIGN Strategy and...  
28. Extension Springs    • EXTENSION SPRING Design - Stresses an...  
29. Gear Relations and Nomenclature    • GEARS BASICS - Nomenclature and Main ...  
30. Gear Trains and Planetary Gears – Mechanical Advantage    • Gear Trains and PLANETARY GEARS in Ju...  
31. Spur Gear Forces and Force Components    • Gear Forces and Power Transmission of...  
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38. Bearing Axial Loads and Equivalent Combined Loads    • Bearings - COMBINED Radial and Axial ...