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 in 10 ...  

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

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

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

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

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Examples:

Example 1:    • Castigliano's Theorem - Slope of Beam - Ex...  
Example 2:    • Castigliano's Theorem - 3D L-Shaped Bar De...  
Example 3:    • Castigliano's Theorem - T-Shaped Handle 3D...  

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

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Previous Video: Uncertainty of Variables for Design Factor Calculations (Including Tolerance Analysis) in 10 Minutes
   • Uncertainty for Design Factor Calculations...  

Next Video: Fracture Toughness and Crack Modes in Under 10 Minutes
   • FRACTURE TOUGHNESS and Crack Modes  in Und...  

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Other "Mechanical Engineering Design 1" Links:

1. Axial Loading Review    • Axial Loading Review for Mech Design in Un...  
2. Torsion Review    • Torsion Review for Mechanical Design in Un...  
3. Pure Bending and Deflection Review    • Bending Review for Mechanical Design in Un...  
4. Pure Bending and Deflection Combined Example    • Deflection of Beams Review for Mechanical ...  
5. Shear and First Moment About Neutral Axis Review    • Transverse Shear Review for Mechanical Des...  
6. Mohr's Circle Review    • COMPLETE Mohr's Circle Review in Just Over...  
7. Brittle Failure Theories - Fracture Criteria    • Brittle Failure Theories - Facture Criteri...  
8. Ductile Failure Theories - Yield Criteria    • Ductile Failure Theories - Yield Criteria ...  
9. Design Factor and Uncertainty vs. Factor of Safety    • DESIGN FACTOR and Uncertainties for Mechan...  
10. Tolerance Stack Ups and Tolerance Loops    • Uncertainty for Design Factor Calculations...  
11. Castigliano's Theorem    • CASTIGLIANO'S THEOREM in Just Over 10 Minu...  
12. Fracture Toughness    • FRACTURE TOUGHNESS and Crack Modes  in Und...  
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23. Proof Strength and Factors of Safety    • PROOF STRENGTH - Factors of Safety for Ten...  
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26. Springs Fatigue – Zimmerli Data    • Springs Fatigue and ZIMMERLI Analysis in J...  
27. Spring Design Restrictions    • Mechanical SPRING DESIGN Strategy and Rest...  
28. Extension Springs    • EXTENSION SPRING Design - Stresses and Ini...  
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30. Gear Trains and Planetary Gears – Mechanical Advantage    • Gear Trains and PLANETARY GEARS in Just Ov...  
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38. Bearing Axial Loads and Equivalent Combined Loads    • Bearings - COMBINED Radial and Axial LOADS...