Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 27P
Compute the angle of twist for the hollow shaft of Problem 26 over a length of 400 mm. The shaft is steel.
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A block hangs from the end of bar AB that is 5.80 meters
long and connected to the wall in the xz plane. The bar is
supported at end A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported in
equilibrium at end B by cables BD and BC that connect to
the xz plane at points C and D respectively with
coordinates given in the figure. The z components of the
moments exerted on the bar by these two cables sum to 0.
The tension in cable BD is measured to be 210 Newtons.
Input answers of zero as 0.00 to avoid an invalid answer due
to significant figures.
Determine the equivalent force and couple system acting at
A that models only the forces exerted by both cables BD
→
and BC on the bar at B. Enter your results for Feq and Meg
in Cartesian Components.
Z
D
(c, 0, d)
C
(a, 0, b).
X
A
f
m
B
y
cc 040
BY NC SA
2016 Eric Davishahl
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a…
A bent tube is attached to a wall with brackets as shown. A
force of F = 785 lb is applied to the end of the tube with
direction indicated by the dimensions in the figure.
a.) Determine the moment about point D due to the force F
Enter your answer in Cartesian components with units of ft-
lbs.
b.) Determine the moment about a line (i.e. axis) running
from D to C due to the force F. Enter your answer in
Cartesian components with units of ft-lbs.
2013 Michael Swanbom
x
BY NC SA
g
Z
h
A
с
FK
kaz
Values for dimensions on the figure are given in the table
below. Note the figure may not be to scale. Be sure to align
your cartesian unit vectors with the coordinate axes shown in
the figure.
Variable Value
α
4.84 in
b
13.2 in
с
12.5 in
d
30.8 in
h
18.7 in
22.0 in
→>
a. MD=(
i+
k) ft-
lb
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b. MDC =
î +
k) ft-
lb
F1
3
4
5
P
F2
F2
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e
b
200
3
4
5
F1
The electric pole is subject to the forces shown. Force F1
245 N and force F2 = 310 N with an angle 0 = 20.2°.
Determine the moment about point P of all forces. Take
counterclockwise moments to be positive.
=
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
2.50 m
b
11.3 m
с
13.0 m
The moment about point P is
m.
N-
If the moment about point P sums up to be zero. Determine
the distance c while all other values remained the same.
m.
Chapter 3 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Ch. 3 - A tensile member in a machine structure is...Ch. 3 - Compute the stress in a round bar having a...Ch. 3 - Compute the stress in a rectangular bar having...Ch. 3 - A link in a packaging machine mechanism has a...Ch. 3 - Two circular rods support the 3800 lb weight of a...Ch. 3 - A tensile load of 5.00 kN is applied to a square...Ch. 3 - An aluminum rod is made in the form of a hollow...Ch. 3 - Compute the stress in the middle portion of rod AC...Ch. 3 - Compute the forces in the two angled rods in...Ch. 3 - If the rods from Problem 9 are circular, determine...
Ch. 3 - Repeat Problems 9 and 10 if the angle is 15 .Ch. 3 - Figure P312 shows a small truss spanning between...Ch. 3 - The truss shown in Figure P313 spans a total space...Ch. 3 - Figure P314 shows a short leg for a machine that...Ch. 3 - Consider the short compression member shown in...Ch. 3 - Refer Figure P38 . Each of the pins at A, B, and C...Ch. 3 - Compute the shear stress in the pins connecting...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Compute the torsional shear stress in a circular...Ch. 3 - If the shaft of Problem 22 is 850 mm long and is...Ch. 3 - Compute the torsional shear stress due to a torque...Ch. 3 - Compute the torsional shear stress in a solid...Ch. 3 - Compute the torsional shear stress in a hollow...Ch. 3 - Compute the angle of twist for the hollow shaft of...Ch. 3 - A square steel bar, 25 mm on a side and 650 mm...Ch. 3 - A 3.00 in-diameter steel bar has a flat milled on...Ch. 3 - A commercial steel supplier lists rectangular...Ch. 3 - A beam is simply supported and carries the load...Ch. 3 - For each beam of Problem 31, compute its weight if...Ch. 3 - For each beam of Problem 31, compute the maximum...Ch. 3 - For the beam loading of Figure P334, draw the...Ch. 3 - For the beam loading of Figure P334, design the...Ch. 3 - Figure P336 shows a beam made from 4 in schedule...Ch. 3 - Select an aluminum I-beam shape to carry the load...Ch. 3 - Figure P338 represents a wood joist for a...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 40PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - Prob. 50PCh. 3 - Compute the maximum tensile stress in the bracket...Ch. 3 - Compute the maximum tensile and compressive...Ch. 3 - For the lever shown in Figure P353 (a), compute...Ch. 3 - Compute the maximum tensile stress at sections A...Ch. 3 - Prob. 55PCh. 3 - Refer to Figure P38. Compute the maximum tensile...Ch. 3 - Prob. 57PCh. 3 - Refer to P342. Compute the maximum stress in the...Ch. 3 - Refer to P343. Compute the maximum stress in the...Ch. 3 - Prob. 60PCh. 3 - Figure P361 shows a valve stem from an engine...Ch. 3 - The conveyor fixture shown in Figure P362 carries...Ch. 3 - For the flat plate in tension in Figure P363,...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - Prob. 68PCh. 3 - Figure P369 shows a horizontal beam supported by a...Ch. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - The beam shown in Figure P372 is a stepped, flat...Ch. 3 - Figure P373 shows a stepped, flat bar having a...Ch. 3 - Figure P374 shows a bracket carrying opposing...Ch. 3 - Prob. 75PCh. 3 - Figure P376 shows a lever made from a rectangular...Ch. 3 - For the lever in P376, determine the maximum...Ch. 3 - Figure P378 shows a shaft that is loaded only in...Ch. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - A hanger is made from ASTM A36 structural steel...Ch. 3 - A coping saw frame shown in Figure P382 is made...Ch. 3 - Prob. 83PCh. 3 - Figure P384 shows a hand garden tool used to break...Ch. 3 - Figure P385 shows a basketball backboard and goal...Ch. 3 - Prob. 86P
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