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Annulus

Definition

Defining inequalities

b^2<=x^2 + y^2<=a^2

Alternate names

Lamina properties

0<b<a

A = π (a^2 - b^2)

x^_ = (0, 0)

Mechanical properties

J_x invisible comma x = 1/4 π (a^4 - b^4)

J_y invisible comma y = 1/4 π (a^4 - b^4)

J_zz = 1/2 π (a^4 - b^4)

J_x invisible comma y = 0

r_x = 1/2 sqrt(a^2 + b^2)
r_y = 1/2 sqrt(a^2 + b^2)

K = 1/2 π (a^4 - b^4)

Distance properties

p = 2 π (a + b)

2 a

χ = (2 (a^2 cos^(-1)(b/a) - b sqrt(a^2 - b^2)))/(π (a^2 - b^2))

Classes