Locate the centroid y of the beam's cross-sectional area. 50 mm Step 3: Complete the table Segment 1 2 150 mm 150 mm 300 mm 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. 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 y for each component and determine its location relative to the overall x-y coordinate system. Answer: 325 mm, 150 mm 7T 25 mm 25 mm A (mm²) y (mm) YA (mm³) I

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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Locate the centroid y of the beam's cross-sectional area.
50 mm
Step 3: Complete the table
Segment
1
2
150 mm 150 mm
300 mm
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.
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 y for each component and determine its location relative to the overall x-y coordinate
system.
Answer: 325 mm, 150 mm
I
TO
25 mm 25 mm
A (mm²)
y (mm)
YA (mm³)
Transcribed Image Text:Locate the centroid y of the beam's cross-sectional area. 50 mm Step 3: Complete the table Segment 1 2 150 mm 150 mm 300 mm 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. 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 y for each component and determine its location relative to the overall x-y coordinate system. Answer: 325 mm, 150 mm I TO 25 mm 25 mm A (mm²) y (mm) YA (mm³)
409
E
0
4.1.1 Shear + .Bendi...
4.2.1 Shear and Ben...
Step 3: Complete the table
Segment
1
2
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.
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 y for each component and determine its location relative to the overall x-y coordinate
system.
Answer: 325 mm, 150 mm
centroid, y.
Answer: 237.5 mm
A (mm²)
C
4.1.1 Shear + Bendi...
25 mm 25 mm
Step 4: Calculate the area-weighted average
X
Sum the area (A) column and the yA column. Use y
P
tv
S
y (mm)
MacBook Air
Learning Report Te...
ΣΤΑ
ΣΑ
ZA A O
YA (mm³)
to determine the location of the
Transcribed Image Text:409 E 0 4.1.1 Shear + .Bendi... 4.2.1 Shear and Ben... Step 3: Complete the table Segment 1 2 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. 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 y for each component and determine its location relative to the overall x-y coordinate system. Answer: 325 mm, 150 mm centroid, y. Answer: 237.5 mm A (mm²) C 4.1.1 Shear + Bendi... 25 mm 25 mm Step 4: Calculate the area-weighted average X Sum the area (A) column and the yA column. Use y P tv S y (mm) MacBook Air Learning Report Te... ΣΤΑ ΣΑ ZA A O YA (mm³) to determine the location of the
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