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)

Architectural Drafting and Design (MindTap Course List)
7th Edition
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Alan Jefferis, David A. Madsen, David P. Madsen
Chapter37: Section Layout
Section: Chapter Questions
Problem 37.3Q
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Plate 3 Principles of Steel Design
Solve the following problems using NSCP 2015. Provide complete
solutions, FBD, and box your final answer. Use our official template
"Surname Plate#". Good Luck!
and save your file with the format -
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)
Transcribed Image Text:Plate 3 Principles of Steel Design Solve the following problems using NSCP 2015. Provide complete solutions, FBD, and box your final answer. Use our official template "Surname Plate#". Good Luck! and save your file with the format - 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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