Ex.1 : A viewing platform in a wild-animal park (Fig. a below) is supported by a row of aluminum pipe columns having length ( L = 3.25 m) and outer diameter ( d = 100 mm). The bases of the columns are set in concrete footings and the tops of the columns are supported laterally by the platform. The columns are being designed to support compressive loads ( P = 100 kN ). %3D %3D Determine the minimum required thickness t of the columns (Fig. b below) if a factor of safety ( S.F.= 3 ) is required with respect to Euler buckling. (For the aluminum, use 72 GPa for the modulus of elasticity and use 480 MPa for the proportional limit.)
Ex.1 : A viewing platform in a wild-animal park (Fig. a below) is supported by a row of aluminum pipe columns having length ( L = 3.25 m) and outer diameter ( d = 100 mm). The bases of the columns are set in concrete footings and the tops of the columns are supported laterally by the platform. The columns are being designed to support compressive loads ( P = 100 kN ). %3D %3D Determine the minimum required thickness t of the columns (Fig. b below) if a factor of safety ( S.F.= 3 ) is required with respect to Euler buckling. (For the aluminum, use 72 GPa for the modulus of elasticity and use 480 MPa for the proportional limit.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
![Buckling of Columns
Buckling of Columns
Ex. 1 ( Continued)
Ex.1_: A viewing platform in a wild-animal park (Fig. a below) is
supported by a row of aluminum pipe columns having length ( L =
3.25 m) and outer diameter ( d = 100 mm). The bases of the
columns are set in concrete footings and the tops of the columns
are supported laterally by the platform. The columns are being
designed to support compressive loads ( P = 100 kN ).
Determine the minimum required thickness t of the columns (Fig. b
below) if a factor of safety ( S.F.= 3 ) is required with respect to Euler
buckling. (For the aluminum, use 72 GPa for the modulus of
elasticity and use 480 MPa for the proportional limit.)
(e)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20ff780f-fb38-4ab5-b562-9afc1a397dea%2Fb2852845-0406-4a16-b4cd-97d41ed1e817%2Fauxzn7q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Buckling of Columns
Buckling of Columns
Ex. 1 ( Continued)
Ex.1_: A viewing platform in a wild-animal park (Fig. a below) is
supported by a row of aluminum pipe columns having length ( L =
3.25 m) and outer diameter ( d = 100 mm). The bases of the
columns are set in concrete footings and the tops of the columns
are supported laterally by the platform. The columns are being
designed to support compressive loads ( P = 100 kN ).
Determine the minimum required thickness t of the columns (Fig. b
below) if a factor of safety ( S.F.= 3 ) is required with respect to Euler
buckling. (For the aluminum, use 72 GPa for the modulus of
elasticity and use 480 MPa for the proportional limit.)
(e)
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