Situation 3: An 8-m long steel column is pinned at the top and fixed at the bottom. The column is provided with lateral support at mid-height in the weak direction. Properties: k = 178.1 x 106 mm ly = 18.8 x 106 mm A = 8129 mm2 7. Determine the critical slenderness ratio. a. 38 c. 27 b. 83 d. 41 Find the critical buckling load. a. b. 8. 9270 kN с. 2190 kN 4730 kN d. 2310 kN Compute the minimum length of the column for which the Euler's formula is valid if the proportional limit of the steel used is 320 MPa. 9. а. 7.5 m с. 10.7 m b. 15.1 m d. 11.8 m

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter11: Columns
Section: Chapter Questions
Problem 11.9.7P
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S3
Situation 3:
An 8-m long steel column is pinned at the top and
fixed at the bottom. The column is provided with
lateral support at mid-height in the weak
direction.
Properties:
k = 178.1 x 106 mm
ly = 18.8 x 106 mm
A = 8129 mm2
7.
Determine the critical slenderness ratio.
a.
b.
38
с.
27
83
d.
41
Find the critical buckling load.
9270 kN
4730 kN
8.
2190 kN
2310 kN
а.
с.
b.
d.
Compute the minimum length of the column for which the
Euler's formula is valid if the proportional limit of the steel
used is 320 MPa.
9.
7.5 m
с.
d.
а.
10.7 m
b.
15.1 m
11.8 m
Transcribed Image Text:Situation 3: An 8-m long steel column is pinned at the top and fixed at the bottom. The column is provided with lateral support at mid-height in the weak direction. Properties: k = 178.1 x 106 mm ly = 18.8 x 106 mm A = 8129 mm2 7. Determine the critical slenderness ratio. a. b. 38 с. 27 83 d. 41 Find the critical buckling load. 9270 kN 4730 kN 8. 2190 kN 2310 kN а. с. b. d. Compute the minimum length of the column for which the Euler's formula is valid if the proportional limit of the steel used is 320 MPa. 9. 7.5 m с. d. а. 10.7 m b. 15.1 m 11.8 m
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