A column 3 m long and pinned at both ends is carries an axial load of 190 kN. The column is made up of 2 angles of unequal legs with long legs back to back and separated by a gusset plate whose thickness is 11 mm. Use A36 steel with Fy = 248 MPa and E = 200 GPa. Three sections are being considered, as follows, with their respective properties relevant of this problem: Section Area ( m? ) rx ( m ) ry ( m ) 2L 125 x 75 x 12 0.00454 0.0390 0.0160 2L 150 x 90 x 10 0.00463 0.0480 0.0195 2L 150 x 90 x 12 0.00550 0.0500 0.0251 a. Which of the sections gives the largest allowable compressive stress? b. Which of the sections gives the most economical (lightest) section for the given load?

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Author:Segui, William T.
Publisher:Segui, William T.
Chapter2: Concepts In Structural Steel Design
Section: Chapter Questions
Problem 2.1P: A column in a building is subjected to the following load effects: 9 kips compression from dead load...
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URGENT Please answer this problem in 30mins. I need correct answers with complete and step by step solution. Box the final answers. Do not shortcut your solution. I will give an upvote if it satisfies. Thank you! Answer question A only.
A column 3 m long and pinned at both ends is carries an axial load of 190 kN. The column is
made up of 2 angles of unequal legs with long legs back to back and separated by a gusset
plate whose thickness is 11 mm. Use A36 steel with Fy = 248 MPa and E = 200 GPa. Three
sections are being considered, as follows, with their respective properties relevant of this
problem:
Section
Area ( m? )
rx ( m )
ry ( m )
2L 125 x 75 x 12
0.00454
0.0390
0.0160
2L 150 x 90 x 10
0.00463
0.0480
0.0195
2L 150 x 90 x 12
0.00550
0.0500
0.0251
a. Which of the sections gives the largest allowable compressive stress?
b. Which of the sections gives the most economical (lightest) section for the given load?
Transcribed Image Text:A column 3 m long and pinned at both ends is carries an axial load of 190 kN. The column is made up of 2 angles of unequal legs with long legs back to back and separated by a gusset plate whose thickness is 11 mm. Use A36 steel with Fy = 248 MPa and E = 200 GPa. Three sections are being considered, as follows, with their respective properties relevant of this problem: Section Area ( m? ) rx ( m ) ry ( m ) 2L 125 x 75 x 12 0.00454 0.0390 0.0160 2L 150 x 90 x 10 0.00463 0.0480 0.0195 2L 150 x 90 x 12 0.00550 0.0500 0.0251 a. Which of the sections gives the largest allowable compressive stress? b. Which of the sections gives the most economical (lightest) section for the given load?
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Segui, William T.
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Cengage Learning