For the minimum-mass tubular column design problem formulated in Section 2.7, consider the following data: P = 50 kN; I= 5.0 m; modulus of elasticity, E =210 Gpa; allowable stress, oq = 250 MPa; mass density p= 7850 kg/m?. Treating mean radius R and wall thickness t as design variables, solve the design problem graphically, imposing an additional constraint R/t s 50. This constraint is needed to avoid local crippling of the column. Also impose the member size constraints as 0.01
For the minimum-mass tubular column design problem formulated in Section 2.7, consider the following data: P = 50 kN; I= 5.0 m; modulus of elasticity, E =210 Gpa; allowable stress, oq = 250 MPa; mass density p= 7850 kg/m?. Treating mean radius R and wall thickness t as design variables, solve the design problem graphically, imposing an additional constraint R/t s 50. This constraint is needed to avoid local crippling of the column. Also impose the member size constraints as 0.01
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
Section: Chapter Questions
Problem 59RP
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![3.23 For the minimum-mass tubular column design problem formulated in Section 2.7, consider
the following data: P = 50 kN; I = 5.0 m; modulus of elasticity, E =210 Gpa; allowable stress,
0. = 250 MPa; mass density p= 7850 kg/m².
Treating mean radius R and wall thickness t as design variables, solve the design
problem graphically, imposing an additional constraint R/t s 50. This constraint is needed
to avoid local crippling of the column. Also impose the member size constraints as
0.01SRS1.0 m; 5sts200 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada966f1-e415-48d3-bb17-269ca9827741%2F7c9c9eb1-e789-4388-8578-5f73a4aa3a5c%2F1zdd64g_processed.png&w=3840&q=75)
Transcribed Image Text:3.23 For the minimum-mass tubular column design problem formulated in Section 2.7, consider
the following data: P = 50 kN; I = 5.0 m; modulus of elasticity, E =210 Gpa; allowable stress,
0. = 250 MPa; mass density p= 7850 kg/m².
Treating mean radius R and wall thickness t as design variables, solve the design
problem graphically, imposing an additional constraint R/t s 50. This constraint is needed
to avoid local crippling of the column. Also impose the member size constraints as
0.01SRS1.0 m; 5sts200 mm
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