Two channels are welded together at the tip of their flanges forming a box section for a column. The major x-axis of the box section coincides with the x-axis of the channels. Properties of each channel Area: A = 3890 mm² Flange width, b₁ = 75 mm Depth: d = 300 mm Flange thickness, tw = 7 mm, Moment of inertia about the x-axis: Ix = 5.3 x 107 mm², Moment of inertia about the y-axis: ly = 1.6 x 10 mm, Distance from the centroid of the channel to the back of the web, x = 18 mm Unsupported length of the column: For bending about the x-axis: Lu = 6 m For bending about the y-axis: Lu = 4 m Effective length factor: K = 1.0; F₂ = 248MPa 1. Which of the following gives the critical slenderness ratio about the x-axis? 2. Which of the following gives the critical slenderness ratio about the y-axis? 3. The column is subjected to a total compressive load of 1200kN. The allowable compressive stress is 116 MPa. To strengthen the section, cover plates 110 mm wide are added at the top and at the bottom flanges. Find d=300 18, 57 75 57 18 75 the thickness of the required cover plates. CIVIL ENGINEERING STEEL DESIGN Answer: 51.4, 66.1, 12mm
Two channels are welded together at the tip of their flanges forming a box section for a column. The major x-axis of the box section coincides with the x-axis of the channels. Properties of each channel Area: A = 3890 mm² Flange width, b₁ = 75 mm Depth: d = 300 mm Flange thickness, tw = 7 mm, Moment of inertia about the x-axis: Ix = 5.3 x 107 mm², Moment of inertia about the y-axis: ly = 1.6 x 10 mm, Distance from the centroid of the channel to the back of the web, x = 18 mm Unsupported length of the column: For bending about the x-axis: Lu = 6 m For bending about the y-axis: Lu = 4 m Effective length factor: K = 1.0; F₂ = 248MPa 1. Which of the following gives the critical slenderness ratio about the x-axis? 2. Which of the following gives the critical slenderness ratio about the y-axis? 3. The column is subjected to a total compressive load of 1200kN. The allowable compressive stress is 116 MPa. To strengthen the section, cover plates 110 mm wide are added at the top and at the bottom flanges. Find d=300 18, 57 75 57 18 75 the thickness of the required cover plates. CIVIL ENGINEERING STEEL DESIGN Answer: 51.4, 66.1, 12mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Two channels are welded together at the tip of
their flanges forming a box section for a column.
The major x-axis of the box section coincides with
the x-axis of the channels. Properties of each
channel Area: A = 3890 mm² Flange width, bf = 75
mm Depth: d = 300 mm Flange thickness, tw = 7
mm, Moment of inertia about the x-axis: Ix = 5.3 x
107 mm, Moment of inertia about the y-axis: ly
1.6 x 10 mm, Distance from the centroid of the
channel to the back of the web, x = 18 mm
Unsupported length of the column:
For bending about the x-axis: Lu = 6 m
For bending about the y-axis: Lu = 4 m
Effective length factor: K = 1.0; F, = 248MPa
1. Which of the following gives the critical
slenderness ratio about the x-axis?
2. Which of the following gives the critical
slenderness ratio about the y-axis?
3. The column is
subjected to a
total
compressive
load of 1200kN.
The allowable
compressive
stress is 116
MPa. To
strengthen the
section, cover
plates 110 mm
wide are added
at the top and
at the bottom
flanges. Find
d=300
18. 57 57 18
75
75
the thickness of
the required cover plates.
CIVIL ENGINEERING STEEL DESIGN
Answer: 51.4, 66.1, 12mm
X
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