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Moment of Inertia Matching
Semicircle
Ixx= Iyy= πR64/8 Jo= πR^4/2 Ix'x'= 0.11R64
Quarter Circle
Ixx= Iyy= πR^4/16 Jo= πR^4/8
Circle
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
Quarter circular area
Centroid (x,y)= (4r/3π, 4r/3π) MOI= πr²/2
Quarter Elliptical Area
Centroid (x,y)= (4a/3π, 4b/3π) MOI= πab/4
Triangular Area
Centroid (x,y)= (0,h/3) MOI= bh/3
Rectangle
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
Semi Elliptical Area
Centroid (x,y)= (0, 4b/3π) MOI= πab/2
Semi-Circular Arc
Centroid (x,y)= (0, 2r/π) MOI= πr
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Created by: shraddha9
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