Design model #365136

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Section characteristic solution

Calculate own characteristic each component of section

Common section area

A = = cm2

Draw initial axes and define centroidal axes location.

Draw each shapes centroid and define their coordinates.

Centroid location

Xc = ΣXi*Ai / A

Yc = ΣYi*Ai / A

XC = () / A = () / = cm

YC = () / A = () / = cm

Centroid location of each component in centroidal axes

Centroidal moments of inertia

Ix = Σ(IXown. + b2 *A) = = cm4

Iy = Σ(IYown. + a2 *A) = = cm4

Ixy = Σ(IXYown. + a*b*A) = = cm4

Angle of rotation of principal axes

tg2α=2*Ixy / (Iy-Ix)=2* / (-)=

α = arctg() / 2 = °

Principal moments of inertia - moments of inertia on principal axes.

IX0 = Ix*cos2(α) + Iy*sin2(α) - Ixy*sin(2*α) =

= *cos2(°) + *sin2(°) - 2**sin(2*°) = cm4

IY0 = Iy*cos2(α) + Ix*sin2(α) + Ixy*sin(2*α) =

= *cos2(°) + *sin2(°) + 2**sin(2*°) = cm4

Radiuses of inertia

ix2 = IX0 / A = / = 0

ix = cm

iy2 = IY0 / A = / = 0

iy = cm




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