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A practice quiz question related to determining the centroid and moment of inertia for a composite steel section with a cut-out. Students are required to show their work and answer the question, with a one-page crib sheet and a silent calculator allowed during the quiz.
Typology: Exercises
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Clearly show your work and answer.
A steel section must have a void drilled into it for a special application. A WT 15 x 195.5 cut T has been bored with a cut-out as shown in the cross section diagram. (The horizontally symmetrical cross section will consist of solid shape(s) and negative shape(s) of possible basic shapes shown and a standard steel shape.)
a) Where is the centroid located for the composite section with respect to the origin given?
c) [some short question from the text material]
Properties for the standard steel shape:
Answers:
a) x ˆ =− 6 in , y ˆ = 9. 16 in
b) I (^) x = 1634.7 in^4 , (I (^) y = 1061.9 in)
WT 15x195. A = 57.6 in^2 d = 16.6 in t (^) w = 1.36 in bf = 15.6 in t (^) f = 2.44 in I (^) x = 1220in^4 y = 4.00 in I (^) y = 774 in^4
possible basic shapes
cross section
x
4.85 in
y
WT 15 x 195.
O
1.25” φ cut-out with center at 0.875” below top 2” x 12” bar