. 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

. 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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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

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!

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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