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For
Chapter
s 6 and 7: Axi
ally loaded members

J Y Richard Liew,
CE 31
6
4

Structural Steel Design


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HOMEWORK
4


4.1

Determine the tension and compression resistance of the box column shown in Figure
4
.1, assuming that the column height is (a) 2m, (b) 5m, (c) 10m. Both ends of the
column are assumed to be effectively held in position but not restrained in di
rection.



Figure
4
.1


4.2

A built
-
up column consists of rolled column 356 x 406 x 634 UC of
S275

and two
flange plates, 500mm x 50
mm

S355

steel. The column height is 10m. One end of
the column support is effectively held in position and partially restrain
ed in direction,
the other end is effectively held in position and fully restrained in direction.
Determine the axial load capacity of the column.


4.3

A column carrying a floor load is shown in Figure
4
.3. The column can be
considered as pinned at the top a
nd at the base. It is laterally restrained at 3.5m
height from the column base to prevent movement in the y direction as shown in
Section AA. Design the column using
S275

steel for a factored floor load of

2500kN

Figure
4
.3


y

x

For
Chapter
s 6 and 7: Axi
ally loaded members

J Y Richard Liew,
CE 31
6
4

Structural Steel Design


C:
\
Program
Files
\
neevia.com
\
docConverterPro
\
temp
\
NVDC
\
73D4D670
-
BBE9
-
4C06
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A802
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92ED03A68473
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measlyincompetent_18fc735f
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4cc8
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42eb
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a0f8
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07d1ec218243.doc

30mm

500mm

50mm

840mm

50mm

4.4

Determine the compression r
esistance of a column of UC 254 x 254 x 89 with a clear
height of 6m. The top of the column is effectively held in position but not restrained
in direction. The bottom of the column is connected to a rigid foundation.


4.5

Figure
4
.
5

shows a welded column of

effective length 7m comprising of two 500mm
x 30mm flange plates and one 600mm x 30mm web plate in S355 steel. Check its
suitability to resist F = 10,000 kN and M
y

= 550 kNm, which are the axial
compressive load and minor axis moment (y
-
y axis), respectiv
ely. If the column is
found to have insufficient strength, propose a method to reinforce the column

(Main
Exam: 2001)


4.6

Figure
4
.
6

shows a welded box section comprising two 500mm x 50mm flange plates
and two 840 x 30mm web plate in
S355

steel.

a) Determ
ine whether the section can be used as a column of length 10m to resist a factored
compression force of 25,000kN if the column ends are held in position and restrained in
direction. If not, suggest two methods to enhance the compression resistance of th
e column.









b) Determine whether the same section can be used as a beam of 10 m long to resist a factored
moment of 20,000kNm. If not, suggest alternate solutions to enhance the bending resistance
of the beam.








Figure
4
.
6

Built
up box section


All steel plates are
S355

600mm

500mm

30 mm

40mm

y

y

Figure 4.5


For
Chapter
s 6 and 7: Axi
ally loaded members

J Y Richard Liew,
CE 31
6
4

Structural Steel Design


C:
\
Program
Files
\
neevia.com
\
docConverterPro
\
temp
\
NVDC
\
73D4D670
-
BBE9
-
4C06
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A802
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92ED03A68473
\
measlyincompetent_18fc735f
-
4cc8
-
42eb
-
a0f8
-
07d1ec218243.doc



4.7

A tension member
in S275 steel consists of 2No. 150 x 100 x 8mm unequal angle
placed back to back. At the connection, two rows of 2 No. 22 mm diameter holes are
drilled through the longer legs of the angles. Determine the tension resistance of the
member.




4.8

Select the l
ightest equal leg angle in S275 steel capable of carrying an axial
compression force of 295kN over an effective length of 1.25m (120 x 120 x 8mm)


4.9

Determine the compressive resistance of a 120 x 120 x 10mm angle of S275 steel
when used as a strut over a l
ength of 2.2m, assuming:

(i)

Fastening with a single bolt at each end

[247kN]


(ii)

Fastening with two bolts in line at each end

[360kN]