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 Properties of W12 x 50A = 9484 mm2rx = 131.57 mmry = 49.78 mmIx = 164 x 106 mm4Iy = 23 x 106 mm4Fy = 345 MPad = 309.63 mm Properties of C6 x 13A = 2471 mm2Ix = 7.24 x 106 mm4Iy = 0.44 x 106 mm4bf = 54.79 mmx = 13.06 mm (centroid from the outer side of the web) a. Determine the critical slenderness ratio.b. Determine the design strength of the column section. (kN in LRFD) yW 12 x 50C6x 13C6 x 13

The given values are as follows,W12×50 column sectionKx=Ky=1.0The Properties of W12 x 50 A = 9484…

Answered: To reinforce a column in an existing…

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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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

Properties of W12 x 50

A = 9484 mm²

rx = 131.57 mm

ry = 49.78 mm

Ix = 164 x 10⁶ mm⁴

Iy = 23 x 10⁶ mm⁴

Fy = 345 MPa

d = 309.63 mm

Properties of C6 x 13

A = 2471 mm²

Ix = 7.24 x 10⁶ mm⁴

Iy = 0.44 x 10⁶ mm⁴

bf = 54.79 mm

x = 13.06 mm (centroid from the outer side of the web)

a. Determine the critical slenderness ratio.

b. Determine the design strength of the column section. (kN in LRFD)

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