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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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
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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