apps-dso.sws.iastate.edu · Web viewradius of gyration: kx= I XX /A ky= I y /A polar moment of...
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Transcript of apps-dso.sws.iastate.edu · Web viewradius of gyration: kx= I XX /A ky= I y /A polar moment of...
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Find force in member EF, HI
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Moment of Inertia
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Parallel Axis Theorem: IXX=I X+A dy2 I yy=I y+Adx
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IX : From the table in the back of your textbookdx ,dy❑ :Distance between centroid of the part and the centroid of the whole object
Shape Area IX I y dx dy Adx2 Ady2
Rectangle ab 112bh3 1
12hb3 = |x−xc| = |y− yc|
Circle π r2 14πr 4 1
4πr 4
Triangle 12bh
136bh3 1
36hb3
Sum up the total values and apply into the equations: IXX=I X+A dy2 I yy=I y+Adx
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radius of gyration: kx=√❑ ky=√❑ polar moment of inertia: J=I xx+ I yy
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