A column 3m long and pinned at both ends carries an axial load of 190 KN. The column is made up of two-angles of unequal legs with long legn back-to-back and separated by gusset plate whose thickness is 11mm. Use A50 steel with Fy=248 MPa, Fu-415 MPa and E-200 GPa. Three sections are being considered, as follows, with their respective properties relative to this problem (all units are in meters). Section 21 125 x 75 x 12 21 150 x 90 x 10 21 150 x 90 x 12 Area (m) 0.00454 0.00463 Ia (m) 0.0390 0.0480 0.0500 Iy (m) 0.0160 0.0195 0.0251 0.00550

Structural Analysis
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Chapter2: Loads On Structures
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1. A column 3m long and pinned at both ends carries an axial load of 190 KN. The column is made up
of two-angles of unequal legs with long legs back-to-back and separated by gusset plate whose
thickness is 1 Imm. Use A50 steel with Fy=248 MPa, Fu=415 MPa and E=200 GPa. Three sections
are being considered, as follows, with their respective properties relative to this problem (all units
are in meters).
Section
21 125 x 75 x 12
I. (m)
0.0390
1, (m)
0.0160
Area (m)
0.00454
0.00463
0.00550
21 150 x 90 x 10
2L 150 x 90 x 12
0.0480
0.0500
0.0195
0.0251
a. Which of the sections gives the largest allowable compressive strength?
b. Which of the sections gives the smallest compressive strength?
c. Which of the sections gives the most economical section for the given load?
Transcribed Image Text:1. A column 3m long and pinned at both ends carries an axial load of 190 KN. The column is made up of two-angles of unequal legs with long legs back-to-back and separated by gusset plate whose thickness is 1 Imm. Use A50 steel with Fy=248 MPa, Fu=415 MPa and E=200 GPa. Three sections are being considered, as follows, with their respective properties relative to this problem (all units are in meters). Section 21 125 x 75 x 12 I. (m) 0.0390 1, (m) 0.0160 Area (m) 0.00454 0.00463 0.00550 21 150 x 90 x 10 2L 150 x 90 x 12 0.0480 0.0500 0.0195 0.0251 a. Which of the sections gives the largest allowable compressive strength? b. Which of the sections gives the smallest compressive strength? c. Which of the sections gives the most economical section for the given load?
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