Properties of the Wide Flange Section: gy ty = 61 mm d = 1,050 mm Igx = 14.734 x10° mm* Igy = 715.918 x10 mm* x6 2a. Determine the location of the centroid of the built-up section measured from the top. 2b. Determine the moment of inertia of the built-up section with respect to the horizontal axis of its centroid. (Hint: Use the concept of transfer of moment of inertia.) Problem#2: (Built-up section using channel and wide flange section) Properties of the Channel Section: Ew = 8mm x = 12.67mm !gx = 6.327 x10“ mm* Wide Flange (next page) gx 'gy = 0. 362 x10“ mm*
Properties of the Wide Flange Section: gy ty = 61 mm d = 1,050 mm Igx = 14.734 x10° mm* Igy = 715.918 x10 mm* x6 2a. Determine the location of the centroid of the built-up section measured from the top. 2b. Determine the moment of inertia of the built-up section with respect to the horizontal axis of its centroid. (Hint: Use the concept of transfer of moment of inertia.) Problem#2: (Built-up section using channel and wide flange section) Properties of the Channel Section: Ew = 8mm x = 12.67mm !gx = 6.327 x10“ mm* Wide Flange (next page) gx 'gy = 0. 362 x10“ mm*
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A(channel)=9,400mm²
A(wide-flange)=62,200mm²
Expert Solution
Step 1
Answer
(2a) Calculation of location of the centroid of built up section from top
To calculate the centroid of given built up section from top we have
Ac = Area of channel section
Ac = 9400 mm2
Awf= Area of wide flange section
Awf= 62200 mm2
yc = Centroid of channel section from top
yc = x = 12.67 mm
ywf = Centroid of wide flange section from top
ywf = tw +
ywf = 8 +
ywf = 533 mm
Substitute the values to get ''
= 464.69 mm
" Location of the centroid of built up section from top = 464.69 mm "
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