1. Compute the design and allowable compressive strength of a 12 meter built-up column composed of a steel plate with an attached channel section on each side. The web of both channel bars are welded to the steel plate, with their local x-axes coinciding with that of the steel plate. The thickness of the plate is 6 mm, with its width equal to the depth of the larger channel section. Assume that the column has fixed ends and is supported about the weaker at middle thirds, and about the stronger axis at mid-height. Assume all steel used are A36 steel. Properties of the Channel Sections C310 x 31 A 3930 mm² d 305 mm 7.16 mm 74.7 mm 12.7 mm 53.7 x 106 mm4 1.61 x 106 mm4 tw bf tf Ix ly C 230 x 20 A d tw bf t Ix ly 2540 mm² 229 mm 5.92 mm 61.8 mm 10.5 mm 19.9 x 106 mmª 0.733 x 106 mm4
1. Compute the design and allowable compressive strength of a 12 meter built-up column composed of a steel plate with an attached channel section on each side. The web of both channel bars are welded to the steel plate, with their local x-axes coinciding with that of the steel plate. The thickness of the plate is 6 mm, with its width equal to the depth of the larger channel section. Assume that the column has fixed ends and is supported about the weaker at middle thirds, and about the stronger axis at mid-height. Assume all steel used are A36 steel. Properties of the Channel Sections C310 x 31 A 3930 mm² d 305 mm 7.16 mm 74.7 mm 12.7 mm 53.7 x 106 mm4 1.61 x 106 mm4 tw bf tf Ix ly C 230 x 20 A d tw bf t Ix ly 2540 mm² 229 mm 5.92 mm 61.8 mm 10.5 mm 19.9 x 106 mmª 0.733 x 106 mm4
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. Compute the design and allowable compressive strength of a 12 meter built-up column
composed of a steel plate with an attached channel section on each side. The web of
both channel bars are welded to the steel plate, with their local x-axes coinciding with
that of the steel plate. The thickness of the plate is 6 mm, with its width equal to the
depth of the larger channel section. Assume that the column has fixed ends and is
supported about the weaker at middle thirds, and about the stronger axis at mid-height.
Assume all steel used are A36 steel.
Properties of the Channel Sections
C310 x 31
A
d
tw
bf
tf
lx
ly
3930 mm²
305 mm
7.16 mm
74.7 mm
12.7 mm
53.7 x 106 mm4
1.61 x 106 mmª
C 230 x 20
A
d
tw
bf
tf
1x
IN
2540 mm²
229 mm
5.92 mm
61.8 mm
10.5 mm
19.9 x 106 mm4
0.733 x 106 mm4
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Step 1: Introducing Given data
VIEWStep 2: Determination of Centroid of Built-up column
VIEWStep 3: Calculation of Moment of Inertia
VIEWStep 4: Calculation of effective length (Le)
VIEWStep 5: Determination of max slenderness ratio
VIEWStep 6: Calculation of Critical compressive stress (Fcr)
VIEWStep 7: Calculation of Design & Allowable compressive strength
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