Details

BaseArea

A0 = 132 * 92 = 12144 mm²;

CutoutRegionsAreas

A1 = -(30*30) = -900 mm²

A2 = -(50*50) = -2500 mm²

A3 = -(30*30)/2 = -450 mm²

A4 = -(30² * π)/ 4 = -706,8583 mm²

AddedRegionsAreas

A5 = (30² * π)/ 4 = 706,8583 mm²

Area

A = A0 + A1 + A2 + A3 + A4 + A5 = 8294 mm²

BaseCenter

X'0 = 66 mm, Y'0 46 mm

CutoutRegionsCenters

X'1 = 132 - 30/2 = 117 mm

Y'1 = 0 + 30/2 = 15 mm

X'2 = 0 + 50/2 = 25 mm

Y'2 = 92 - 50/2 = 67 mm

X'3 = 132 - 30/3 = 122 mm

Y'3 = 92 - 30/3 = 82 mm

X'4 = 0 + (4*30)/(3 * π) = 12,7324 mm

Y'4 = 0 + (4*30)/(3 * π) = 12,7324 mm

AddedRegionsCenters

X'5 = 102 + (4*30)/(3 * π) = 114,7324 mm

Y'5 = 30 - (4*30)/(3 * π) = 17,2676 mm

CenterOfGravity

(A0*X0 - ( + A1*X1 + A2*X2 + A3*X3 + A4*X4 + A5*X5))/A= X = 436,7927 mm

(A0*Y0 - ( + A1*Y1 + A2*Y2 + A3*Y3 + A4*Y4 + A5*Y5))/A= Y = 41,4673 mm

Second moment of area

Ix = 5034974,5238129515 mm⁴

Iy = 7449113,128289869 mm⁴

Ixy = 932910,5136541455 mm⁴

Neutral Axis

X_0 = -358,3138541070009 mm

Y_0 = 75,74298887233799 mm

Mechanical stress

Min = -6,565646580676443 MPa

Max = 113,09061620158 MPa

Norm = 58,71714492404148 MPa