Torsion, Angle of Twist and STATICALLY INDETERMINATE in 13 Minutes!

Torsional Shearing Strain - Angle of Twist Deformation. Including Statically Indeterminate Structures.

0:00 Linear Rotational Deformation
1:06 Angle of Twist Derivation
2:10 Angle of Twist Expression
2:34 Angle of Twist Sub-indices
3:29 Always Assume Torques as Positive
4:58 Axial Loading Equivalent
7:54 Relative Angle of Twist
8:47 Adding Angles of Twist
9:54 Length Values
10:40 Statically Indeterminate Problems
11:04 Lecture Example

Axial Loading Internal Force Subscripts:
   • Axial Deformation, Thermal Expansion,...  

Example 1:    • 3 Section Torsion, ANGLE OF TWIST in ...  
Example 2:    • Angle of Twist - GEAR Rotation Angle ...  
Example 3:    • Composite Under Torsion, STATICALLY I...  

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

Previous Lecture:
Shearing Stresses, TORSION in 11 Minutes!
   • Shearing Stresses, TORSION in 11 Minu...  

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Other Mechanics of Materials Lectures:
Watch the entire course in less than 4 HOURS!!

01 Axial Loading Normal Stress:    • EVERYTHING on Axial Loading Normal St...  ​
02 Shearing Strain and Stress Components:    • SHEAR STRAIN and Stress Components in...  ​
03 Axial Deformation, Temperature Changes, and Poisson’s Ratio:    • Axial Deformation, Thermal Expansion,...  ​
04 Statically Indeterminate:    • STATICALLY INDETERMINATE Structures i...  ​
05 Stress Concentrations and Factor of Safety:    • Stress CONCENTRATION Factors and Fact...  ​
06 Shearing Stress, Torsion:    • Shearing Stresses, TORSION in 11 Minu...  
07 Angle of Twist, Statically Indeterminate:    • Torsion, Angle of Twist and STATICALL...  
08 Bending Stress, Second Moment of Area, and Parallel Axis Theorem:    • PURE BENDING and Parallel Axis Theore...  
09 Stress Concentration Factors for Torsion and Bending:    • Stress CONCENTRATIONS in 7 Minutes!! ...  
10 Beam Deflections & Singularity Functions :    • Bending and BEAM DEFLECTION in 13 Min...  
11 Transformed Sections for Bending (Composites):    • Bending and BEAM DEFLECTION in 13 Min...  
12 Transverse Shear:    • Everything About TRANSVERSE SHEAR in ...  
13 Shear Flow:    • Thin-Walled Members and SHEAR FLOW in...  
14 Mohr’s Circle and Principal Stresses:    • Principal Stresses and MOHR'S CIRCLE ...  
15 Pressure Vessels:    • Thin-Walled PRESSURE VESSELS in 8 MIN...  
16 Ductile Failure Criteria (Yield):    • Yield (DUCTILE) FAILURE Theories in J...  
17 Brittle Failure Criteria (Fracture):    • Fracture (BRITTLE) FAILURE Theories i...  
18 Combined Loading:    • Everything About COMBINED LOADING in ...  
19 Column Buckling:    • BUCKLING - Column Stability in UNDER ...  
20 Elastoplastic Beams and Residual Stresses (torsion too): coming soon