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Problem 3.2 A small scale wind turbine tower needs to pivot about its base because it is raised up from the ground by a gin pole. The tower is secured in the upright position by a pair of 0.25 inch diameter cables, each attached to an anchorage, as shown. The cable has a working load limit of 1200 lb (working load means it is the permitted load and includes a factor of safety relative to the cable's likely actual strength). The cables are initially tensioned by equal amounts. The thrust force from the turbine's operation is balanced by an increase in the tension in the front cable and an equal decrease in the rear cable. The rightward deflection of the tower due to the thrust force causes an elongation of the front cable that is equal to the shortening of the rear cable, which is why the magnitudes of the tension changes are equal. The pre-tension in the cables must be chosen so that neither side goes slack nor does the maximum tension exceed the load limit. Assume a steady thrust force of F thrust = 200 lb. Determine A) The rear-ward tilt of the turbine in response to the thrust, in terms of movement at the centerline of the turbine. B) The minimum and maximum pre-tension loads that could be placed on the cables. The cables cannot exceed their working capacity, and should always have some net tension force (cables cannot practically take any compression force) Fthrust hy ho The effective elastic modulus of the steel cable is 24000 ksi. w = 30 ft, h₁ = 35 ft, ho = 45 ft

Problem 3.2 A small scale wind turbine tower needs to pivot about its base because it is raised up from the ground by a gin pole. The tower is secured in the upright position by a pair of 0.25 inch diameter cables, each attached to an anchorage, as shown. The cable has a working load limit of 1200 lb (working load means it is the permitted load and includes a factor of safety relative to the cable's likely actual strength). The cables are initially tensioned by equal amounts. The thrust force from the turbine's operation is balanced by an increase in the tension in the front cable and an equal decrease in the rear cable. The rightward deflection of the tower due to the thrust force causes an elongation of the front cable that is equal to the shortening of the rear cable, which is why the magnitudes of the tension changes are equal. The pre-tension in the cables must be chosen so that neither side goes slack nor does the maximum tension exceed the load limit. Assume a steady thrust force of F thrust = 200 lb. Determine A) The rear-ward tilt of the turbine in response to the thrust, in terms of movement at the centerline of the turbine. B) The minimum and maximum pre-tension loads that could be placed on the cables. The cables cannot exceed their working capacity, and should always have some net tension force (cables cannot practically take any compression force) Fthrust hy ho The effective elastic modulus of the steel cable is 24000 ksi. w = 30 ft, h₁ = 35 ft, ho = 45 ft

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.62P: The bar ABC is supported by three identical, ideal springs. Note that the springs are always...
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Problem 3.2 A small scale wind turbine tower needs to pivot about its base because it is raised up from the ground by a gin pole. The tower is secured in the upright position by a pair of 0.25 inch diameter cables, each attached to an anchorage, as shown. The cable has a working load limit of 1200 lb (working load means it is the permitted load and includes a factor of safety relative to the cable's likely actual strength). The cables are initially tensioned by equal amounts. The thrust force from the turbine's operation is balanced by an increase in the tension in the front cable and an equal decrease in the rear cable. The rightward deflection of the tower due to the thrust force causes an elongation of the front cable that is equal to the shortening of the rear cable, which is why the magnitudes of the tension changes are equal. The pre-tension in the cables must be chosen so that neither side goes slack nor does the maximum tension exceed the load limit. Assume a steady thrust force of F thrust = 200 lb. Determine A) The rear-ward tilt of the turbine in response to the thrust, in terms of movement at the centerline of the turbine. B) The minimum and maximum pre-tension loads that could be placed on the cables. The cables cannot exceed their working capacity, and should always have some net tension force (cables cannot practically take any compression force) F thrust hi ho The effective elastic modulus of the steel cable is 24000 ksi. w = 30 ft, h₁ = 35 ft, ho = 45 ft
Transcribed Image Text:Problem 3.2 A small scale wind turbine tower needs to pivot about its base because it is raised up from the ground by a gin pole. The tower is secured in the upright position by a pair of 0.25 inch diameter cables, each attached to an anchorage, as shown. The cable has a working load limit of 1200 lb (working load means it is the permitted load and includes a factor of safety relative to the cable's likely actual strength). The cables are initially tensioned by equal amounts. The thrust force from the turbine's operation is balanced by an increase in the tension in the front cable and an equal decrease in the rear cable. The rightward deflection of the tower due to the thrust force causes an elongation of the front cable that is equal to the shortening of the rear cable, which is why the magnitudes of the tension changes are equal. The pre-tension in the cables must be chosen so that neither side goes slack nor does the maximum tension exceed the load limit. Assume a steady thrust force of F thrust = 200 lb. Determine A) The rear-ward tilt of the turbine in response to the thrust, in terms of movement at the centerline of the turbine. B) The minimum and maximum pre-tension loads that could be placed on the cables. The cables cannot exceed their working capacity, and should always have some net tension force (cables cannot practically take any compression force) F thrust hi ho The effective elastic modulus of the steel cable is 24000 ksi. w = 30 ft, h₁ = 35 ft, ho = 45 ft
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