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    Circular Segment

    Defining inequalities

    x^2 + y^2<=a^2 and y>=a cos(θ/2)

    Definition

    Lamina properties

    (-sin(θ/2) a, cos(θ/2) a) | (sin(θ/2) a, cos(θ/2) a)

    2

    a>0 and 0<θ<π

    (data not available)

    r = a cos(θ/2)

    h = a (1 - cos(θ/2))

    a cos(θ/2)

    A = 1/2 a^2 (θ - sin(θ))

    x^_ = (0, (4 sin^3(θ/2) a)/(3 (-sin(θ) + θ)))

    Mechanical properties

    J_x invisible comma x = 1/8 a^4 (θ - sin(θ) cos(θ))

    J_y invisible comma y = 1/48 a^4 (6 θ - 8 sin(θ) + sin(2 θ))

    J_zz = -1/24 a^4 (-6 θ + 4 sin(θ) + sin(2 θ))

    J_x invisible comma y = 0

    r_x = 1/2 a sqrt((θ - sin(θ) cos(θ))/(θ - sin(θ))) r_y = 1/2 a sqrt((6 θ - 8 sin(θ) + sin(2 θ))/(6 θ - 6 sin(θ)))

    Distance properties

    (data not available)

    p = a (θ + 2 sin(θ/2))

    (data not available)

    2 a sin(θ/2)

    χ = 1

    Class

    convex laminae

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