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Example: Determine the location of the centroid ('c') of the beam's cross section and the moment of inertia about the centroidal x-axis.

Example: Determine the location of the centroid ('c') of the beam's cross section and the moment of inertia about the centroidal x-axis.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Example: Determine the location of the centroid ('c') of the beam's cross section and the moment of inertia about the centroidal x-axis. AY Part Dimensions Area y 4x1 4x1 1x8 2 3 Total Part 1 2 3 Area yA 4 2 8 4 28 8 16 in' Total 16 in 05 4 20 in dy (A) 2-1.25 2.25 4 1-(4)/12 4 1:(4)/12 2-1.25 2.25 8 8(11/12 1.25-0.5 4.50 = 1.25 in 16 x = lei +d³y(A) 5.33+2.25= 7.58 5.33 +225=7,58 0.666+4.50 5.16 20.32 in 1 Typ
Transcribed Image Text:Example: Determine the location of the centroid ('c') of the beam's cross section and the moment of inertia about the centroidal x-axis. AY Part Dimensions Area y 4x1 4x1 1x8 2 3 Total Part 1 2 3 Area yA 4 2 8 4 28 8 16 in' Total 16 in 05 4 20 in dy (A) 2-1.25 2.25 4 1-(4)/12 4 1:(4)/12 2-1.25 2.25 8 8(11/12 1.25-0.5 4.50 = 1.25 in 16 x = lei +d³y(A) 5.33+2.25= 7.58 5.33 +225=7,58 0.666+4.50 5.16 20.32 in 1 Typ
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