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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 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! _________________________________________________________________ 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... _________________________________________________________________ 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... _________________________________________________________________ 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... 13. Crack Propagation • CRACK PROPAGATION and Paris Equation in Un... 14. Fatigue SN Diagrams • Fatigue (Strength-Number of Cycles) SN-DIA... 15. Marin Factors and Corrected Endurance Limit • Marin Factors for ENDURANCE LIMITS in Just... 16. Fatigue Stress Concentration and Notch Sensitivity Factors • Fatigue STRESS CONCENTRATIONS in Just Over... 17. Fatigue Failure Criteria • Fatigue FAILURE CRITERIA in Just Over 10 M... 18. Shaft Design and Iterative Process • Shaft Design for INFINITE LIFE and Fatigue... 19. Power Screws – Torque to Force Relationship • Power Screws - Torque to Force Relationshi... 20. Screw Thread Stress • Stresses at Screw Threads in Just Over 10 ... 21. Fastener and Member Stiffness • Bolt (Fasteners) and MEMBER STIFFNESS in J... 22. Bolt Tension • BOLT TENSION and Tension at Non-Permanent ... 23. Proof Strength and Factors of Safety • PROOF STRENGTH - Factors of Safety for Ten... 24. Spring Stress and Spring Constant • Mechanical Springs - Stress, Deflection, a... 25. Shearing Yield Strength and Presetting • Springs - PRESETTING and Shearing Yield St... 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... 29. Gear Relations and Nomenclature • GEARS BASICS - Nomenclature and Main Relat... 30. Gear Trains and Planetary Gears – Mechanical Advantage • Gear Trains and PLANETARY GEARS in Just Ov... 31. Spur Gear Forces and Force Components • Gear Forces and Power Transmission of SPUR... 32. Helical and Bevel Gear Forces • Gear Forces of HELICAL and BEVEL GEARS in ... 33. Worm Gear Forces • WORM GEARS - Forces and Speed Relations in... 34. Bending Stress at the Teeth – Lewis Form Factor • LEWIS BENDING STRESS at the Teeth of a Gea... 35. Pitting - Surface Compressive Stress • Gear PITTING - Surface Contact Stress Fati... 36. Bearing Radial Loads • BEARINGS BASICS and Bearing Life for Mecha... 37. Bearing Reliability • Bearings RELIABILITY and Bearings SELECTIO... 38. Bearing Axial Loads and Equivalent Combined Loads • Bearings - COMBINED Radial and Axial LOADS...