Given Answer: (0.827 in, 1.37 in)complete all steps please Locate the centroid y of the beam's cross-sectional area.4 in.Step 3: Complete the tableSegmentA (in²)0.5 in.12IXC3 in.17Step 1: Break into componentsInspect the cross section for obvious and convenient places to divide it into shapes that appearin 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 systemThe tables give the centroids relative to the shapes themselves. Here, we need to find thelocation x and y for each component and determine its location relative to the overall x-ycoordinate system.x (in)xy (in)XA (in³)Step 4: Calculate the area-weighted averageΣΧΑSum the area (A) column and the XA and yA columns. Use x =location of the centroid, (x, y).ΣΑ0.007y =ΣΤΑΣΑIỹA (in³)to determine theinformati

Given data:- L section of size=4 in×3 in×0.5 in To find:- Centroid x- Centroid y-

Answered: Locate the centroid y of the beam's…

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Mechanical Engineering

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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Given Answer: (0.827 in, 1.37 in)

complete all steps please

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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