Problem 1 Design of Compression Members To reinforce a column in an existing two channels are welded to the W 12 x 50 column section as shown figure. Effective length of column with respect to each axis is 4.8 W 12 x 50 structure, C6x 13 C6x 13 in the 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 mm Fy = 345 MPa d = 309.63 mm Properties of C 6 x 13 A = 2471 mm² Ix = 7.24 x 106 mm Iy = 0.44 x 106 mmª 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) c. Determine the allowable strength of the column section. (kN in ASD)
Problem 1 Design of Compression Members To reinforce a column in an existing two channels are welded to the W 12 x 50 column section as shown figure. Effective length of column with respect to each axis is 4.8 W 12 x 50 structure, C6x 13 C6x 13 in the 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 mm Fy = 345 MPa d = 309.63 mm Properties of C 6 x 13 A = 2471 mm² Ix = 7.24 x 106 mm Iy = 0.44 x 106 mmª 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) c. Determine the allowable strength of the column section. (kN in ASD)
Chapter2: Loads On Structures
Section: Chapter Questions
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Problem 1 Design of Compression Members
To reinforce
column in
an existing
a
W 12 x 50
structure,
two channels are welded to
the W 12 x 50 column section as shown
C6x 13
C6 x 13
in
figure.
Effective
length
column with respect to each axis is 4.8
the
of
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 C 6 x 13
A = 2471 mm²
Ix = 7.24 x 106 mmª
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)
c. Determine the allowable strength of the column section.
(kN in ASD)
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