. To reinforce a column in an existing structure, two channels are welded to the W 12 x 50 column section as shown in the figure. Effective length of column with respect to each axis is 4.8 m. Kx = Ky = 1.0 W 12 x 50 Properties of W12 x 50 A = 9484 mm2 rx = 131.57 mm %3D ry = 49.78 mm Ix = 164 x 106 mm4 ly 23 x 106 mm4 Fy = 345 MPa d = 309.63 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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a. Determine the moment of inertia.

b. Determine the new centroid using Varignon's Theorem

. To reinforce a column in an existing structure, two channels are welded to the W 12 x 50 column
section as shown in the figure. Effective length of column with respect to each axis is 4.8 m.
Kx = Ky = 1.0
W 12 x 50
C6x 13
C6x13
Properties of W12 x 50
A = 9484 mm2
rx = 131.57 mm
ry = 49.78 mm
Ix = 164 x 106 mm4
ly = 23 x 106 mm4
Fy = 345 MPa
d = 309.63 mm
%3!
Transcribed Image Text:. To reinforce a column in an existing structure, two channels are welded to the W 12 x 50 column section as shown in the figure. Effective length of column with respect to each axis is 4.8 m. Kx = Ky = 1.0 W 12 x 50 C6x 13 C6x13 Properties of W12 x 50 A = 9484 mm2 rx = 131.57 mm ry = 49.78 mm Ix = 164 x 106 mm4 ly = 23 x 106 mm4 Fy = 345 MPa d = 309.63 mm %3!
Properties of C6 x 13
A = 2471 mm?
Ix = 7.24 x 106 mm4
ly = 0.44 x 106 mm4
bf = 54.79 mm
x = 13.06 mm (centroid from the outer side of the web)
Transcribed Image Text:Properties of C6 x 13 A = 2471 mm? Ix = 7.24 x 106 mm4 ly = 0.44 x 106 mm4 bf = 54.79 mm x = 13.06 mm (centroid from the outer side of the web)
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