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    Right Trapezium

    Defining inequalities

    y>=0 and a>=x and a h_1 + h_2 x>=a y + h_1 x and x>=0

    Definition

    Alternate name
    Lamina properties

    (0, 0) | (a, 0) | (a, h_2) | (0, h_1)

    4

    a>0 and h_1>0 and h_2>0

    sqrt(a^2 + h_1^2) | sqrt(a^2 + h_2^2)

    A = 1/2 a (h_1 + h_2)

    x^_ = ((a (h_1 + 2 h_2))/(3 (h_1 + h_2)), 1/3 (h_2 + h_1^2/(h_1 + h_2)))

    Mechanical properties

    J_x invisible comma x = 1/12 a (h_1 + h_2) (h_1^2 + h_2^2)

    J_y invisible comma y = 1/12 a^3 (h_1 + 3 h_2)

    J_zz = 1/12 a (a^2 (h_1 + 3 h_2) + (h_1 + h_2) (h_1^2 + h_2^2))

    J_x invisible comma y = -1/24 a^2 (h_1^2 + 2 h_2 h_1 + 3 h_2^2)

    r_x = sqrt(h_1^2 + h_2^2)/sqrt(6) r_y = (a sqrt((h_1 + 3 h_2)/(h_1 + h_2)))/sqrt(6)

    Distance properties

    a | h_2 | sqrt(a^2 + (h_2 - h_1)^2) | h_1

    p = sqrt(a^2 + (h_2 - h_1)^2) + a + h_1 + h_2

    max(sqrt(a^2 + h_1^2), sqrt(a^2 + h_2^2))

    χ = 1

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