Moment of Inertia Matching
Ixx= Iyy= πR64/8
Jo= πR^4/2
Ix'x'= 0.11R64 |
Ixx= Iyy= πR^4/16
Jo= πR^4/8 |
Ixx= Iyy= πR^4/4
Jo= πR^4/2 |
General spandrel (y=kx^n) |
Centroid (x,y)= ([n+1)/(n+2)]a,[(n+1)/(4n+2)]h)
MOI= ah/n+1 |
Centroid (x,y)= (4r/3π, 4r/3π)
MOI= πr²/2 |
Centroid (x,y)= (4a/3π, 4b/3π)
MOI= πab/4 |
Centroid (x,y)= (0,h/3)
MOI= bh/3 |
MOI about centroidal axis(Ix'x',Iy'y')= bh³/12, b³h/12
MOI about axes (Ixx,Iyy)= bh³/3, b³h/3
Polar moment of inertia= Ixx+Iyy |
Centroid (x,y)= (0, 4b/3π)
MOI= πab/2 |
Centroid (x,y)= (0, 2r/π)
MOI= πr |
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