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Defining inequalities

abs(x)<=a/2 and abs(y)<=b/2

Definition

Alternate name

Lamina properties

(-a/2, -b/2) | (a/2, -b/2) | (a/2, b/2) | (-a/2, b/2)

a>0 and b>0

sqrt(a^2 + b^2) | sqrt(a^2 + b^2)

A = a b

x^_ = (0, 0)

Mechanical properties

J_x invisible comma x = (a b^3)/12

J_y invisible comma y = (a^3 b)/12

J_zz = 1/12 a b (a^2 + b^2)

J_x invisible comma y = 0

r_x = b/(2 sqrt(3))
r_y = a/(2 sqrt(3))

K = 1/3 a^3 b (1 - (192 a sum_(n=1)^∞ tanh((π b (2 n - 1))/(2 a))/(2 n - 1)^5)/(π^5 b))

Distance properties

a | b | a | b

p = 2 (a + b)

R = 1/2 sqrt(a^2 + b^2)

sqrt(a^2 + b^2)

χ = 1

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