MIT2_019S11_MD2 - 2.019 Desi 2 019 D ign of O f Ocean...

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2.019 Design of Ocean Systems ecture Lecture 3 13 Mooring Dynamics (II) March 28, 2011
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Static Analysis: Catenary Cable Cable configuration: Tension along the cable: T H w T = T + h r g Az s = sinh x H + ( + ) T H T T z = s z - h = H cosh x - 1 T H T T H ϕ ϕ W ϕ O = 0 x B x h Anchor z x Seafloor s Image by MIT OpenCourseWare.
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Catenary Solution ⎯⎯ Key Results (without Elasticity) • Minimum line length required (or suspended length for a given fairlead tension) for gravity anchor: 1 2 2 T max l min = h wh 1 • Horizontal force for a given fairlead tension: T H = T wh • Horizontal scope (length in plan view from fairlead to touchdown point): wl min x = T H sinh 1 w T H • Vertical force at the fairlead: T z = wl min
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³ ´ w Simple Examples • Given T max = T br =1510 KN, w=828 N/m, h=25m, then l = h 2 T max 1 2 25 2 1510 10 3 1 300 . 93 m min ¡ wh ¢ 1 = q 828 25
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.019 taught by Professor Yumingliu during the Spring '11 term at MIT.

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MIT2_019S11_MD2 - 2.019 Desi 2 019 D ign of O f Ocean...

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