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    Defining inequalities

    -a/2<=x<=a/2 and -a/2<=y<=a/2 and ¬t - a/2<=x<=-t/2 and t/2<=y<=a/2 or t/2<=x<=a/2 and t/2<=y<=a/2 - t or -a/2<=x<=-t/2 and t - a/2<=y<=-t/2 or t/2<=x<=a/2 - t and -a/2<=y<=-t/2

    Definition

    Alternate names
    Lamina properties

    (a/2, t/2) | (t/2, t/2) | (t/2, 1/2 (a - 2 t)) | (a/2, 1/2 (a - 2 t)) | (a/2, a/2) | (-t/2, a/2) | (-t/2, t/2) | (1/2 (-a + 2 t), t/2) | (1/2 (-a + 2 t), a/2) | (-a/2, a/2) | (-a/2, -t/2) | (-t/2, -t/2) | (-t/2, 1/2 (-a + 2 t)) | (-a/2, 1/2 (-a + 2 t)) | (-a/2, -a/2) | (t/2, -a/2) | (t/2, -t/2) | (1/2 (a - 2 t), -t/2) | (1/2 (a - 2 t), -a/2) | (a/2, -a/2)

    20

    0<3 t

    A = t (4 a - 3 t)

    x^_ = (0, 0)

    Mechanical properties

    J_x invisible comma x = 1/12 t (5 a^3 - 9 a^2 t + 11 a t^2 - 6 t^3)

    J_y invisible comma y = 1/12 t (5 a^3 - 9 a^2 t + 11 a t^2 - 6 t^3)

    J_zz = 1/6 t (5 a^3 - 9 a^2 t + 11 a t^2 - 6 t^3)

    J_x invisible comma y = 0

    r_x = 1/2 sqrt((5 a^3 - 9 a^2 t + 11 a t^2 - 6 t^3)/(12 a - 9 t)) r_y = 1/2 sqrt((5 a^3 - 9 a^2 t + 11 a t^2 - 6 t^3)/(12 a - 9 t))

    Distance properties

    (a - t)/2 | 1/2 (a - 3 t) | (a - t)/2 | t | (a + t)/2 | (a - t)/2 | 1/2 (a - 3 t) | (a - t)/2 | t | (a + t)/2 | (a - t)/2 | 1/2 (a - 3 t) | (a - t)/2 | t | (a + t)/2 | (a - t)/2 | 1/2 (a - 3 t) | (a - t)/2 | t | (a + t)/2

    p = 4 (2 a - t)

    sqrt(2) a

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