PURE BENDING and Parallel Axis Theorem in 12 Minutes!

Everything you need to know about Pure Bending normal stresses, and the parallel axis theorem used to calculate I.

0:00 Positive and Negative Moments
0:18 Bending Stress Derivation
3:34 Second Moment of Area
4:02 I for a Rectangle
5:07 Parallel Axis Theorem
7:32 Parallel Axis for Rectangle
7:48 Steps for Overall I
9:13 Normal Bending Stress Equation
9:39 Lecture Example

Example 1:    • Bending Stress and "Inertia" Calculat...  
Example 2:    • Parallel Axis Theorem for Bending in ...  
Example 3:    • Maximum Bending Moment for BENDING st...  

Statics - Shear and Bending Moment Diagrams in 13 Minutes
   • SHEAR and BENDING Moment Diagrams in ...  

Statics - Centroid of Complex Area - Examples:
   • CENTROID of Composite Area in 2 Minutes!  
   • Finding the CENTROID of a Composite B...  

Statics - Centroids and Center of Mass in 10 Minutes
   • CENTROIDS and Center of Mass in 10 Mi...  

Polar Second Moment of Area:
   • Shearing Stresses, TORSION in 11 Minu...  

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Next Lecture:
Stress CONCENTRATIONS in 7 Minutes! Torsion & Bending
   • Stress CONCENTRATIONS in 7 Minutes!! ...  

Previous Lecture:
Torsion, Angle of Twist and STATICALLY INDETERMINATE in 13 Minutes!
   • Torsion, Angle of Twist and STATICALL...  

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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