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    Isosceles Triangular Laminae

    Defining inequalities

    -a/2<=x<=a/2 and 0<=y<=h (1 - 2 abs(x/a))

    Definition

    Lamina properties

    (-a/2, 0) | (a/2, 0) | (0, h)

    3

    a>0 and h>0

    (data not available)

    h

    A = (a h)/2

    x^_ = (0, h/3)

    Mechanical properties

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

    J_y invisible comma y = (a^3 h)/48

    J_zz = 1/48 a h (a^2 + 4 h^2)

    J_x invisible comma y = 0

    r_x = h/sqrt(6) r_y = a/(2 sqrt(6))

    Distance properties

    a | sqrt(a^2/4 + h^2) | sqrt(a^2/4 + h^2)

    p = sqrt(a^2 + 4 h^2) + a

    r = (a (sqrt(a^2 + 4 h^2) - a))/(4 h)

    R = 1/8 (a^2/h + 4 h)

    max(a, sqrt(a^2/4 + h^2))

    χ = 1

    s^_ = (-a^5 + 8 a^3 h^2 + 8 a^4 sqrt(a^2 + 4 h^2) + 2 h^2 ((a^2 + 4 h^2)^(3/2) log((a (sqrt(a^2 + 4 h^2) + a))/(2 h^2) + 1) + 16 a^3 log((sqrt(a^2 + 4 h^2) + a)/a)) + 48 a h^4)/(30 a (a^2 + 4 h^2)^(3/2))

    A^_ = (a h)/24

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