To prepare a wide flange beam for use as a column, two steel plates are welded to the flanges of the beam. Note that the horizontal centroids of the plates align with the horizontal centorid of the wide flange. Calculate the Moment of Interia for the composite shape about both centroidal axes, to determine the weaker axis of the composite section
To prepare a wide flange beam for use as a column, two steel plates are welded to the flanges of the beam. Note that the horizontal centroids of the plates align with the horizontal centorid of the wide flange. Calculate the Moment of Interia for the composite shape about both centroidal axes, to determine the weaker axis of the composite section
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:12.19"
12.0"
XI
Ix-x
lY-Y
.75"
8.080"
**
.75"
To prepare a wide flange beam for use as a column, two steel plates are
welded to the flanges of the beam. Note that the horizontal centroids of the
plates align with the horizontal centorid of the wide flange.
Calculate the Moment of Interia for the composite shape about both centroidal
axes, to determine the weaker axis of the composite section
W12 x 50
Area of Depth of
Section Section
A (in²)
14.7
12" x 3/4"
Area of
Plate
A (in²)
9
d (in)
12.19
Height
h (in)
12
Flange
Width
bf (in)
8.080
Width
b (in)
.75
Thickness
tf (in)
.640
Ix
(in 4)
108
Web
thickness
tw (in)
.370
ly
(in 4)
.422
Ix
(in 4)
394
ly
(in 4)
56.3
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