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Geometrical Properties of Rectangle


rectangle.png

Dimensions

h = m, b = m

Area

A = h·b m2

Centroid

yc = b/2 m

zc = h/2 m

Perimeter

P = 2·(h + b) m

Second moments of area

Iy = b·h3/12 m4

Iz = b3·h/12 m4

Polar moment of area

Ix = Iy + Iz m4

Radii of gyration

ry = √Iy/A m

rz = √Iz/A m

rx = √Ix/A m

#If

Torsional constant

It = 0.1406·h4 m4

Torsional section modulus

Wt = 0.2080·h3 m3

#Else

#If

Torsional constant

It = h·b3·(1 – 0.630·b/h + 0.052·(b/h)5)/3 m4

Torsional section modulus

Wt = h·b2·(1 – 0.630·b/h + 0.250·(b/h)2)/3 m3

#Else

Torsional constant

It = b·h3·(1 – 0.630·h/b + 0.052·(h/b)5)/3 m4

Torsional section modulus

Wt = b·h2·(1 – 0.630·h/b + 0.250·(h/b)2)/3 m3

#End If

#End If


Substitute