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The natural frequency of a slender structural member of the topside of an offshore facility may be calculated as E(r-r) fn 212 V 1 т Where ro and n are its outer and inner radii respectively. Its length, L, is 25 m, its diameter is 0.84 m, its wall thickness is 20 mm, and it is fabricated from steel with an elastic modulus, E, of 200 x 10° N/m? and mass per unit length, m, of 412 kg/m. At what wind speed is the member likely to experience its most massive flow- induced vibration assuming a Strouhal number (St) of 0.2?

The natural frequency of a slender structural member of the topside of an offshore facility may be calculated as E(r-r) fn 212 V 1 т Where ro and n are its outer and inner radii respectively. Its length, L, is 25 m, its diameter is 0.84 m, its wall thickness is 20 mm, and it is fabricated from steel with an elastic modulus, E, of 200 x 10° N/m? and mass per unit length, m, of 412 kg/m. At what wind speed is the member likely to experience its most massive flow- induced vibration assuming a Strouhal number (St) of 0.2?

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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The natural frequency of a slender structural member of the topside of an offshore facility may be calculated as E(rf-r) 21? 1 fn 2L2 т Where ro and r are its outer and inner radii respectively. Its length, L, is 25 m, its diameter is 0.84 m, its wall thickness is 20 mm, and it is fabricated from steel with an elastic modulus, E, of 200 x 10° N/m? and mass per unit length, m, of 412 kg/m. At what wind speed is the member likely to experience its most massive flow- induced vibration assuming a Strouhal number (St) of 0.2?
Transcribed Image Text:The natural frequency of a slender structural member of the topside of an offshore facility may be calculated as E(rf-r) 21? 1 fn 2L2 т Where ro and r are its outer and inner radii respectively. Its length, L, is 25 m, its diameter is 0.84 m, its wall thickness is 20 mm, and it is fabricated from steel with an elastic modulus, E, of 200 x 10° N/m? and mass per unit length, m, of 412 kg/m. At what wind speed is the member likely to experience its most massive flow- induced vibration assuming a Strouhal number (St) of 0.2?
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