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Locate the centroid y of the beam's cross-sectional area. 4 in. 0.5 in. 3 in. -12 0.5 in.

Locate the centroid y of the beam's cross-sectional area. 4 in. 0.5 in. 3 in. -12 0.5 in.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Given Answer: (0.827 in, 1.37 in)

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Locate the centroid y of the beam's cross-sectional area. 4 in. Step 3: Complete the table Segment A (in²) 0.5 in. 1 2 IX C 3 in. 17 Step 1: Break into components Inspect the cross section for obvious and convenient places to divide it into shapes that appear in the tables. For this cross section, two rectangles make the most sense. 0.5 in. Step 2: Find the centroid of each component, relative to the global coordinate system The tables give the centroids relative to the shapes themselves. Here, we need to find the location x and y for each component and determine its location relative to the overall x-y coordinate system. x (in) x y (in) XA (in³) Step 4: Calculate the area-weighted average ΣΧΑ Sum the area (A) column and the XA and yA columns. Use x = location of the centroid, (x, y). ΣΑ 0.007 y = ΣΤΑ ΣΑ I ỹA (in³) to determine the informati
Transcribed Image Text:Locate the centroid y of the beam's cross-sectional area. 4 in. Step 3: Complete the table Segment A (in²) 0.5 in. 1 2 IX C 3 in. 17 Step 1: Break into components Inspect the cross section for obvious and convenient places to divide it into shapes that appear in the tables. For this cross section, two rectangles make the most sense. 0.5 in. Step 2: Find the centroid of each component, relative to the global coordinate system The tables give the centroids relative to the shapes themselves. Here, we need to find the location x and y for each component and determine its location relative to the overall x-y coordinate system. x (in) x y (in) XA (in³) Step 4: Calculate the area-weighted average ΣΧΑ Sum the area (A) column and the XA and yA columns. Use x = location of the centroid, (x, y). ΣΑ 0.007 y = ΣΤΑ ΣΑ I ỹA (in³) to determine the informati
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