output.to from Sideway

~~Mechanics: Statics~~Mechanics Dynamics

TOC Force Moment Couple System of Forces Static Equilibrium Structure Analysis Distributed Force Friction Force Internal Force~~Moment of Inertia~~Virtual Work & Stability Short Summary

Moment of Inertia~~2nd Moment of an Area~~2nd Moment of a Mass

Second Moment of an Area~~Moment of Inertia of Plane Area~~Moment of Inertia of Composite Area Principal Moments & Product of inertia Graphical Methods of Second Moment of an Area

`-=[]⟨⟩\;',./~!@#$%^&*()_+{}|:"<>? 𝑎𝑏𝑐𝑑𝑒𝑓𝑔ℎ𝑖𝑗𝑘𝑙𝑚𝑛𝑜𝑝𝑞𝑟𝑠𝑡𝑢𝑣𝑤𝑥𝑦𝑧 Å − × ⋅∓±∘꞊﹦∗∙ ℯ 𝔸𝔹ℂ𝔻𝔼𝔽𝔾ℍ𝕀𝕁𝕂𝕃𝕄ℕ𝕆ℙℚℝ𝕊𝕋𝕌𝕍𝕎𝕏𝕐ℤ𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻𝐼𝐽𝐾𝐿𝑀𝑁𝑂𝑃𝑄𝑅𝑆𝑇𝑈𝑉𝑊𝑋𝑌𝑍 ∼∽∾≁≂≃≄≅≆≇≈≉≌≐≠≡ ≤≥≦≧≨≩≪≫ ∈∉∊∋∌∍ ⊂⊃⊄⊅⊆⊇ 𝛼𝛽𝛾𝛿𝜀𝜁𝜂𝜃𝜄𝜅𝜆𝜇𝜈𝜉𝜊𝜋𝜌𝜎𝜏𝜐𝜑𝜒𝜓𝜔 ∀∂∃∅⦰∆∇∎∞∝∴∵ ∏∐∑⋀⋁⋂⋃ ∧∨∩∪ ∫∬∭∮∯∰∱∲∳ ∥⋮⋯⋰⋱ ‖ ′ ″ ‴ ⁄ ⁗ ʹ ʺ ‵ ‶ ‷ ﹁﹂﹃﹄︹︺︻︼ ︗ ︘ ︿﹀︽︾﹇﹈︷︸ ⏜ ⏝ ⎴ ⎵ ⏞ ⏟ ⏠ ⏡ ←↑→↓↤↦↥↧↔↕↖↗↘↙▲▼◀▶↺↻⟲⟳ ↼↽↾↿⇀⇁⇂⇃⇄⇅⇆⇇ ⇐⇑⇒⇓⇔⇌⇍⇏⇕⇖⇗⇘⇙⇙⇳⥢⥣⥤⥥⥦⥧⥨⥩⥪⥫⥬⥭⥮⥯

Draft for Information Only

Content

Second Moment of An Area of Geometric Shape
 
        Moment of Inertia of Areas
  
        Second Moment of Area of Rectangle
   
        Second Moment about x' by Double Integration
   
        Second Moment about y' by Single Integration
   
        Second Moment about x 
        by Parallel-Axis Theorem
   
        Second Moment about y 
        by Parallel-Axis Theorem
   
        Polar Moment about C from Rectangular Moments of Inertia 
  
        Second Moment of Area of Circle
   
        Second Moment about x'  
        by Double Integration
   
        Second Moment about y'  by Double Integration
   
        Polar Moment about C from Rectangular Moments of Inertia 
   
        Second Moment about A 
        by Parallel-Axis Theorem
  
        Second Moment of Area of Triangle
   
        Second Moment about x' by 
        Single Integration
   
        Second Moment about x 
        by Parallel-Axis Theorem

Second Moment of An Area of Geometric Shape

The second moment of an area of a geometric shape can be determined by integration or the parallel-axis theorem. Imply

Moment of Inertia of Areas

Second Moment of Area of Rectangle

Second Moment about x' by Double Integration

The second moment of an area of a rectangle about the centroidal axis x' is

Second Moment about y' by Single Integration

The second moment of an area of a rectangle about the centroidal axis y' is

Second Moment about x by Parallel-Axis Theorem

The second moment of an area of a rectangle about the axis x is

Second Moment about y by Parallel-Axis Theorem

The second moment of an area of a rectangle about the axis y is

Polar Moment about C from Rectangular Moments of Inertia

The polar moment of an area of a rectangle about the centroid C is

Second Moment of Area of Circle

Second Moment about x' by Double Integration

The second moment of an area of a circle about the centroidal axis x' is

Second Moment about y' by Double Integration

The second moment of an area of a circle about the centroidal axis y' is

Polar Moment about C from Rectangular Moments of Inertia

The polar moment of an area of a circle about the centroid C is

Second Moment about A by Parallel-Axis Theorem

The second moment of an area of a rectangle about axis A is

Second Moment of Area of Triangle

Second Moment about x' by Single Integration

The second moment of an area of a triangle about the centroidal axis x' is

Second Moment about x by Parallel-Axis Theorem

The second moment of an area of a triangle about the axis x is

©sideway

ID: 121000007 Last Updated: 10/16/2012 Revision: 0 Ref:

References

I.C. Jong; B.G. rogers, 1991, Engineering Mechanics: Statics and Dynamics
F.P. Beer; E.R. Johnston,Jr.; E.R. Eisenberg, 2004, Vector Mechanics for Engineers: Statics

Latest Updated Links