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    Rectangle

    Defining inequalities

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

    Definition

    Alternate name

    equiangular rectangle

    Lamina properties

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

    4

    a>0 and b>0

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

    b

    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

    Classes

    beam cross section laminae | convex laminae | polygonal laminae | quadrilateral laminae | rectangular laminae

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