############################# Video Source: www.youtube.com/watch?v=JH6iOhOe8h0

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 • ___________________________________________________________________________ • 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...   • _________________________________________________________________ • 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...   • _________________________________________________________________ • Previous Video: Uncertainty of Variables for Design Factor Calculations (Including Tolerance Analysis) in 10 Minutes •    • Uncertainty for Design Factor Calcula...   • Next Video: Fracture Toughness and Crack Modes in Under 10 Minutes •    • FRACTURE TOUGHNESS and Crack Modes  i...   • _________________________________________________________________ • 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...   • 15. Marin Factors and Corrected Endurance Limit    • Marin Factors for ENDURANCE LIMITS in...   • 16. Fatigue Stress Concentration and Notch Sensitivity Factors    • Fatigue STRESS CONCENTRATIONS in Just...   • 17. Fatigue Failure Criteria    • Fatigue FAILURE CRITERIA in Just Over...   • 18. Shaft Design and Iterative Process    • Shaft Design for INFINITE LIFE and Fa...   • 19. Power Screws – Torque to Force Relationship    • Power Screws - Torque to Force Relati...   • 20. Screw Thread Stress    • Stresses at Screw Threads in Just Ove...   • 21. Fastener and Member Stiffness    • Bolt (Fasteners) and MEMBER STIFFNESS...   • 22. Bolt Tension    • BOLT TENSION and Tension at Non-Perma...   • 23. Proof Strength and Factors of Safety    • PROOF STRENGTH - Factors of Safety fo...   • 24. Spring Stress and Spring Constant    • Mechanical Springs - Stress, Deflecti...   • 25. Shearing Yield Strength and Presetting    • Springs - PRESETTING and Shearing Yie...   • 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...   • 32. Helical and Bevel Gear Forces    • Gear Forces of HELICAL and BEVEL GEAR...   • 33. Worm Gear Forces    • WORM GEARS - Forces and Speed Relatio...   • 34. Bending Stress at the Teeth – Lewis Form Factor    • LEWIS BENDING STRESS at the Teeth of ...   • 35. Pitting - Surface Compressive Stress    • Gear PITTING - Surface Contact Stress...   • 36. Bearing Radial Loads    • BEARINGS BASICS and Bearing Life for ...   • 37. Bearing Reliability    • Bearings RELIABILITY and Bearings SEL...   • 38. Bearing Axial Loads and Equivalent Combined Loads    • Bearings - COMBINED Radial and Axial ...  

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