Problem 2: Four 3x3x1/2 equal leg angles are laced together as shown in Figure 3 to form a column section. Determine the Euler (elastic) stress and the critical buckling load (kN) for the pin-connected column. E= 200,000 MPa. Proportional limit is 250 MPa. Assume simple span and maximum permissible L/r = 200. a) L = 11.50 m b) L=9.75 m 7 Properties of one 3 X 3 X 1/2 angle A = 1774 mm² Ix = 0.92 x106 mm4 [x = 22.81 mm y = 23.67 mm 300 mm ly= 0.92 x106 mm4 ry= 22.81 mm X= 23.67 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Problem 2:
Four 3x3x1/2 equal leg angles are laced together as shown in Figure 3 to form a column
section. Determine the Euler (elastic) stress and the critical buckling load (kN) for the
pin-connected column. E = 200,000 MPa. Proportional limit is 250 MPa. Assume simple
span and maximum permissible L/r = 200.
a) L = 11.50 m
b) L = 9.75 m
7
Properties of one 3 X 3 X 1/2 angle
A = 1774 mm²
ly = 0.92 x106 mmª
Ix = 0.92 x106 mm4
[x = 22.81 mm
y = 23.67 mm
ry= 22.81 mm
x= 23.67 mm
L
Figure 3
Problem 3:
steel column 10 m long is made up of two channels C 12 x 25 laced together with their
nges facing each other as shown in Figure 4.
a) How much distance the back of the web of the channels be placed if the section
must be equally strong in both X and Y axes, in mm?
7
300 mm
300 mm
Transcribed Image Text:Problem 2: Four 3x3x1/2 equal leg angles are laced together as shown in Figure 3 to form a column section. Determine the Euler (elastic) stress and the critical buckling load (kN) for the pin-connected column. E = 200,000 MPa. Proportional limit is 250 MPa. Assume simple span and maximum permissible L/r = 200. a) L = 11.50 m b) L = 9.75 m 7 Properties of one 3 X 3 X 1/2 angle A = 1774 mm² ly = 0.92 x106 mmª Ix = 0.92 x106 mm4 [x = 22.81 mm y = 23.67 mm ry= 22.81 mm x= 23.67 mm L Figure 3 Problem 3: steel column 10 m long is made up of two channels C 12 x 25 laced together with their nges facing each other as shown in Figure 4. a) How much distance the back of the web of the channels be placed if the section must be equally strong in both X and Y axes, in mm? 7 300 mm 300 mm
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