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A full water tank is supported on an 25m-high cantilever tower. It is idealized as an SDF system with weight w = 45ton. Vertical cantilever element is made of a standard steel pipe, the properties of the pipe are: outside diameter = 215mm, inside diameter = 165mm, thickness = 25mm, Young's modulus E=200GPA, as shown in Figure below. (a) Determine peak ground acceleration, the design values of lateral deformation, base shear, and the bending stress in the cantilever due to the El Centro ground motion (PGA=0.5g); assume that = 5%. for the following cases (b) The deformation computed for the system in part (a) seemed excessive to the structural designer, who decided to stiffen the tower by increasing its size. Determine the design values of deformation and base shear for the modified system if the pipe is: outside diameter = 300mm, inside diameter = 270mm, thickness = 15mm, assume that the damping ratio is still 5%. %3D Comment on how stiffening the system has affected the design requirements. What is the disadvantage of stiffening the system? (c) If the stiffened tower in (a) were to support a tank weighing 22.5ton, determine the design requirements; assume for purposes of this example that the damping ratio is still 5%. Comment on how the increased weight has affected the design requirements. pipe 45m El Centro 1940 - SOOE

A full water tank is supported on an 25m-high cantilever tower. It is idealized as an SDF system with weight w = 45ton. Vertical cantilever element is made of a standard steel pipe, the properties of the pipe are: outside diameter = 215mm, inside diameter = 165mm, thickness = 25mm, Young's modulus E=200GPA, as shown in Figure below. (a) Determine peak ground acceleration, the design values of lateral deformation, base shear, and the bending stress in the cantilever due to the El Centro ground motion (PGA=0.5g); assume that = 5%. for the following cases (b) The deformation computed for the system in part (a) seemed excessive to the structural designer, who decided to stiffen the tower by increasing its size. Determine the design values of deformation and base shear for the modified system if the pipe is: outside diameter = 300mm, inside diameter = 270mm, thickness = 15mm, assume that the damping ratio is still 5%. %3D Comment on how stiffening the system has affected the design requirements. What is the disadvantage of stiffening the system? (c) If the stiffened tower in (a) were to support a tank weighing 22.5ton, determine the design requirements; assume for purposes of this example that the damping ratio is still 5%. Comment on how the increased weight has affected the design requirements. pipe 45m El Centro 1940 - SOOE

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A full water tank is supported on an 25m-high cantilever tower. It is idealized as an SDF system with weight w = 45ton. Vertical cantilever element is made of a standard steel pipe, the properties of the pipe are: outside diameter 215mm, inside diameter = 165mm, thickness = 25mm, Young's modulus E=200GPA, as shown in Figure below. (a) Determine peak ground acceleration, the design values of lateral deformation, base shear, and the bending stress in the cantilever due to the El Centro ground motion (PGA=0.5g); assume that = 5%. for the following cases (b) The deformation computed for the system in part (a) seemed excessive to the structural designer, who decided to stiffen the tower by increasing its size. Determine the design values of deformation and base shear for the modified system if the pipe is: outside diameter 300mm, inside diameter = 270mm, thickness = 15mm, assume that the damping ratio is still 5%. Comment on how stiffening the system has affected the design requirements. What is the disadvantage of stiffening the system? (c) If the stiffened tower in (a) were to support a tank weighing 22.5ton, determine the design requirements; assume for purposes of this example that the damping ratio is still 5%. Comment on how the increased weight has affected the design requirements. pipe 45m El Centro 1940 - SOOE 100 50 100- 20 Úgo = 13.04 10 Ugo = 8.40 0.1- 0.5 10 20 50 0-6.02 0.5 0.05 0.1 0.2 T, sec D, in. A. g V, in./sec 100- ü =0.319g 100'0 0.01
Transcribed Image Text:A full water tank is supported on an 25m-high cantilever tower. It is idealized as an SDF system with weight w = 45ton. Vertical cantilever element is made of a standard steel pipe, the properties of the pipe are: outside diameter 215mm, inside diameter = 165mm, thickness = 25mm, Young's modulus E=200GPA, as shown in Figure below. (a) Determine peak ground acceleration, the design values of lateral deformation, base shear, and the bending stress in the cantilever due to the El Centro ground motion (PGA=0.5g); assume that = 5%. for the following cases (b) The deformation computed for the system in part (a) seemed excessive to the structural designer, who decided to stiffen the tower by increasing its size. Determine the design values of deformation and base shear for the modified system if the pipe is: outside diameter 300mm, inside diameter = 270mm, thickness = 15mm, assume that the damping ratio is still 5%. Comment on how stiffening the system has affected the design requirements. What is the disadvantage of stiffening the system? (c) If the stiffened tower in (a) were to support a tank weighing 22.5ton, determine the design requirements; assume for purposes of this example that the damping ratio is still 5%. Comment on how the increased weight has affected the design requirements. pipe 45m El Centro 1940 - SOOE 100 50 100- 20 Úgo = 13.04 10 Ugo = 8.40 0.1- 0.5 10 20 50 0-6.02 0.5 0.05 0.1 0.2 T, sec D, in. A. g V, in./sec 100- ü =0.319g 100'0 0.01
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