Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8, Problem 8.15P
For the two channels shown, calculated the spacing s required for the moment of inertia with respect to the X-X centroidaI axis to be equal to the moment of inertia with respect to the Y-Y centroidal axis.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
For the walking-beam mechanism shown in Figure 3, find and plot the x and y coordinates of the
position of the coupler point P for one complete revolution of the crank O2A. Use the coordinate
system shown in Figure 3. Hint: Calculate them first with respect to the ground link 0204 and
then transform them into the global XY coordinate system.
y
-1.75
Ꮎ
Ꮎ
4
= 2.33
0242.22
L4
x
AP = 3.06
L2 = 1.0
W2
31°
B
03 L3 = 2.06
P
1
8
5
.06
6
7
P'
The link lengths, gear ratio (2), phase angle (Ø), and the value of 02 for some geared five bar
linkages are defined in Table 2. The linkage configuration and terminology are shown in Figure
2. For the rows assigned, find all possible solutions for angles 03 and 04 by the vector loop
method. Show your work in details: vector loop, vector equations, solution procedure.
Table 2
Row
Link 1 Link 2
Link 3
Link 4
Link 5
λ
Φ
Ө
a
6
1
7
9
4
2
30°
60°
P
y 4
YA
B
b
R4
R3
YA
A
Gear ratio:
a
02
d
05
r5
R5
R2
Phase angle: = 0₂-202
R1
05
02
r2
Figure 2.
04
X
Problem 4
A .025 lb bullet C is fired at end B of the 15-lb slender bar AB. The
bar is initially at rest, and the initial velocity of the bullet is 1500 ft/s
as shown. Assuming that the bullet becomes embedded in the bar,
find (a) the angular velocity @2 of the bar immediately after impact,
and (b) the percentage loss of kinetic energy as a result of the impact.
(c) After the impact, does the bar swing up 90° and reach the
horizontal? If it does, what is its angular velocity at this point?
Answers: (a). @2=1.6 rad/s; (b). 99.6% loss
=
(c). Ah2 0.212 ft. The bar does not reach horizontal.
y
X
4 ft
15 lb
V₁
1500 ft/s
0.025 lb
C
30°7
B
A
Chapter 8 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 8 - Calculate the moment of intertia with respect to...Ch. 8 - Calculate the moment of inertia of the triangular...Ch. 8 - A structural steel wide-flange section is...Ch. 8 - The concrete block shown has wall thicknesses of...Ch. 8 - A rectangle has a base of 6 in. and a height of 12...Ch. 8 - For the area of Problem 8.5 , calculate the exact...Ch. 8 - Check the tabulated moment of inertia for a 300610...Ch. 8 - For the cross section of Problem 8.3 , calculate...Ch. 8 - Calculate the moments of intertia with respect to...Ch. 8 - Calculate the moments of intertia with respect to...
Ch. 8 - The rectangular area shown has a square hole cut...Ch. 8 - For the built-up structural steel member shown,...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate the moment of inertia with respect to...Ch. 8 - For the two channels shown, calculated the spacing...Ch. 8 - Compute the radii of gyration about both...Ch. 8 - Two C1015.3 channels area welded together at their...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - Calculate the polar moment of inertia for a...Ch. 8 - For the areas (a) aid (b) of Problem 8.9 ,...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the following computer problems, any...Ch. 8 - For the cross section shown, calculate the moments...Ch. 8 - Calculate the moments of inertia of the area shown...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - For the cross-sectional areas shown, calculate the...Ch. 8 - Calculate the moments of intertia of the built-up...Ch. 8 - Calculate the moments of inertia about both...Ch. 8 - Calculate lx and ly of the built-up steel members...Ch. 8 - Calculate the least radius of gyration for the...Ch. 8 - A structural steel built-up section is fabricated...Ch. 8 - Calculate the polar moment of inertia for the...Ch. 8 - Determine the polar moment of inertia for the...Ch. 8 - Compute the radii of gyration with respect to the...Ch. 8 - Calculate the polar moment of inertia about the...Ch. 8 - The area of the welded member shown is composed of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- subject: combustion please include complete solution, no rounding off, with diagram/explanation etc. In a joule cycle, intake of the compressor is 40,000 cfm at 0.3 psig and 90 deg F. The compression ratio is 6.0 and the inlet temperature at the turbine portion is 1900R while at the exit, it is 15 psi. Calculate for the back work ratio in percent.arrow_forwardsubject: combustion please include complete solution, no rounding off, with diagram/explanation etc. A gasoline engine, utilizing cold air, recorded a work of 431 BTU/lb at a maximum temperature of 3,273 K and 1112 deg F temperature at the beginning of constant volume heat addition. What is the compression ratio?arrow_forwardsubject: combustion please do step by step solution and no rounding off, complete solution with diagram/explanation if needed etc. thank you! Air enters the compressor at 101,320 Pascals, 305.15K, and leaves at a pressure of 0.808MPa. The air is heated to 990.15K in the combustion chamber. For a net output of 2,125,000 Watts, find the rate of flow of air per second.arrow_forward
- The link lengths and the value of 2 and offset for some fourbar crank-slide linkages are defined in Table 1. The linkage configuration and terminology are shown in Figure 1. For the rows assigned, find (a) all possible solutions for angle & and slider position d by vector loop method. (b) the transmission angle corresponding to angle 03. (Hint: Treat the vector R4 as virtual rocker) Show your work in details: vector loop, vector equations, solution procedure. Table 1 Row Link 2 Link 3 Offset Ө a 1.4 4 1 45° b 3 8 2 -30° C 5 20 -5 225° 03 slider axis B X offset Link 2 A R3 Link 3 R4 04 R2 02 R1 d Figure 1. Xarrow_forward4. Two links made of heat treated 6061 aluminum (Sy = 276 MPa, Sys = 160 MPa) are pinned together using a steel dowel pin (Sy = 1398 MPa, Sys = 806 MPa) as shown below. The links are to support a load P with a factor of safety of at least 2.0. Determine if the link will fail first by tearout, direct shear of the pin, bearing stress on the link, or tensile stress at section AA. (Hint: find the load P for each case and choose the case that gives the smallest load.) P 8 mm P 8 mm ¡+A 3 mm →A 10 mm Parrow_forward1. For a feature other than a sphere, circularity is where: A. The axis is a straight line B. The modifier is specified with a size dimension C. All points of the surface intersected by any plane perpendicular to an axis or spine (curved line) are equidistant from that axis or spine D. All points of the surface intersected by any plane passing through a common center are equidistant from that center 2. What type of variation is limited by a circularity toler- ance zone? A. Ovality B. Tapering C. Bending D. Warping 3. How does the Rule #1 boundary affect the application of a circularity tolerance? A. The modifier must be used. B. The feature control frame must be placed next to the size dimension. C. The circularity tolerance value must be less than the limits of size tolerance. D. Circularity cannot be applied where a Rule #1 boundary exists. 4. A circularity tolerance may use a modifier. A. Ø B. F C. M D. ℗ 5. A real-world application for a circularity tolerance is: A. Assembly (i.e.,…arrow_forward
- 3. A steel bar is pinned to a vertical support column by a 10 mm diameter hardened dowel pin, Figure 1. For P = 7500 N, find: a. the shear stress in the pin, b. the direct bearing stress on the hole in the bar, c. the minimum value of d to prevent tearout failure if the steel bar has a shear strength of 175 MPa. support column pin bar thickness of bar = 8 mm h d 150 mmarrow_forwardA press that delivers 115 strokes per minute, each stroke providing a force of 7826 N throughout a distance of 18 mm. The press efficiency is 90% and is driven by a 1749-rpm motor. Determine average torque that must be provided by the motor in the units of N-m.arrow_forward·3) find the force (P) for the figures (1) and (2) 15cm 10cm 15 h=10mm h2=6mm // Call = 90 N/2 P Agate Fig (i) Ans: 1)P=112614N 2) P=1956.5 N 25cm 25 cm الفترة أو الحجم تمر بالتي عثر اكو تورشن (ک Fig (2) h₁ = 10mm 42=6mm Cmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY