Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 7.17CP
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory. For spreadsheet problems, any appropriate software may be used.
7.17 Use a spreasheet program to solve for the centroid location of built-up areas such as shown in Problem 7.12 
and 7.28. 
The user should be able to input the appropriate geometric properties for any shapes of the types shown, and the program should then determine the centroid location and display the result. Vary a single shape or dimension and observe how the location of the centroid is affected.
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Learning Goal:
A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its
center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into
regular shaped segments, and then by calculating the weighted average of the segments' centroids.An
object is made from a uniform piece of sheet metal. The object has dimensions of a = 1.45 ft, where a is
the diameter of the semi-circle, b = 3.24 ft, and c = 2.10 ft. A hole with diameter d = 0.500 ft is centered
at (1.13, 0.725).
Figure
X
1 of 2
Part A
Find the area of the body. (Figure 1)
Express your answer numerically in feet squared to three significant figures.
► View Available Hint(s)
VE ΑΣΦ41 | vec
A = 1.52
Submit
* Incorrect; Try Again; 5 attempts remaining
Part B
I=
Find I, the x-coordinate of the body's centroid. (Figure 1)
Express your answer numerically in feet to three significant figures.
► View Available Hint(s)
Submit
Previous Answers
Part C
y =…
2:36
| 11
local_m...0408289
Gate
Liquid
3 m
-3 ft-
FIGURE 4.0
1 m
60
FIGURE 1.0
TASK 2: Solve the value of buoyancy using Archimedes' Principle
Problem Solving
Instructions; Analyze and solve the following problems. Enclose your final an-
swer in a box.
1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra-
tio of x and y for this condition.
2. An iceberg in the ocean floats with one seventh of its volume above the surface. What
is its specific gravity relative to the ocean water? What portion of its volume would
be above the surface if ice were floating in pure water? sg=10.10KN/m^3
3. A rectangular 9m wide, 15m long, and 3.6m high has a draft in sea water of 2.4m. Its
center of gravity 2.5m above the bottom of the scow. Determine the initial metacen-
tric height and the righting moment or overturning moment when the scow tilts until
one side is just at the point of submergence.
4. Water backs up behind a concrete dam as shown infigure 1. Leakage…
Q5: If you have the shaded area shown below for multi bodies, can you find the coordinates
of the centroid of it? If yes calculate them with showing all the steps using the table
method.
Q5 y
3 ft
3 ft
1 ft
4 ft
2 ft
4 ft -
Chapter 7 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 7 - A cylindrical cast-iron casting has an axial bole...Ch. 7 - Locate the center of gravity of the cast-iron...Ch. 7 - A 5-in.-diameter steel sphere is rigidly attached...Ch. 7 - A solid steel shaft is fabricated as shown. Locate...Ch. 7 - A wood mallet has a cylindrical head 6 in. long...Ch. 7 - The built-up member shown is composed of two...Ch. 7 - A concrete member has a cross section as shown....Ch. 7 - A thin steel plate, having the dimensions shown,...Ch. 7 - The U-shaped built-up section shown is composed of...Ch. 7 - Locate the centroid of the area shown. In part...
Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - A built-up steel member is composed of a W1871...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Find the center of gravity for the three-axle...Ch. 7 - For the following computer problems, any...Ch. 7 - For the following computer problems, any...Ch. 7 - For the following computer problems, any...Ch. 7 - A 2.in,-diameler hole, 5 in. long, is drilled into...Ch. 7 - Locate the center of gravity of the cube in...Ch. 7 - The head of a maul is made of steel d is 3 in. in...Ch. 7 - Locate the X-X centroidal axes for the cross...Ch. 7 - A built-up steel member is composed of a W2162...Ch. 7 - Locate the X-X centroidal axes for the cross...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - For the area shown, the X-X centroidal axis is...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...Ch. 7 - Locate the X-X and Y-Y centroidal axes for the...
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