EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 24, Problem 16P
As in Sec. 24.2, compute F using the trapezoidal rule and Simpson's
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Students have asked these similar questions
In your response, please display the full computation and all FBDs
that were used. Only round off at the final answer with 4 decimal
places.
P=2kN, F=3kN, and moment M=0.5kN-m are acting on the structure
in the illustration. A pin at Z and a cable RQ connected by a
connecting pin R support it.
Im
●
F
●
P
S
TO
M
Im
R
lu
W
OZ
a'
0.8m
3m
If the pin support Z's factor of safety against shear stress is 3,
determine whether a single or double shear should be provided for an
economical and safe design.
4 m
The mas allowable shear stress in the pin is 50MPa. Consider the
following specifications.
Single shear design: 25mm pin diameter
Double shear design: 17mm pin diameter
Find the displacement of point "P" (in
mm) using quadratic shape functions,
when the displacements of nodes 1, 2
and 3 are q1=0.10 mm, q2=-0.10 mm
and q3=0.14 mm, respectively.
Suppose that the values of shape
functions are N1=-0.08, N2=0.36 and
N3=0.72. (Hint: round your answer to
4 digits after decimal point)
1
x1
2
x2
*
P
3
X3
The following diagram corresponds to questions 1 to 3.
A beam rests on two sharp edges as shown on the image. The beam has a length of 7,50 m and a mass of 4,25
kg. Object 1 has a mass of 1,50 kg; object 2 has a mass of 2,35 kg. Point P is 0,50 m form the center of the beam.
CG
1. How much is the torque done by object 1 around point P?
A. 55,2 N*m
B. 7,36 N*m
C. 62,5 N*m
D. Object 1 doesn't exert a torque.
2. How much is the torque done by the force of gravity of the beam around point P?
A. 20,8 N*m
N-m ך177 .B
C. 156 N*m
D. 313 N*m
3. If you needed to cancel the nomal forces of the two objects, where you should place object 2? The axis of rotation
is point P.
A. 3,30 m from point
B. 9,18 m from point P
C. 5,69 m from point P
D. 3,62 m from point P
Chapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 24 - Perform the same computation as Sec. 24.1, but...Ch. 24 - 24.2 Repeat Prob. 24.1, but use Romberg...Ch. 24 - 24.3 Repeat Prob. 24.1, but use a two- and a...Ch. 24 - 24.4 Integration provides a means to compute how...Ch. 24 - Use numerical integration to compute how much mass...Ch. 24 - 24.6 Fick’s first diffusion law states...Ch. 24 - The following data were collected when a large oil...Ch. 24 - 24.8 You are interested in measuring the fluid...Ch. 24 - Prob. 10PCh. 24 - 24.11 Glaucoma is the second leading cause of...
Ch. 24 - One of your colleagues has designed a new...Ch. 24 - Video an giography is used to measure blood flow...Ch. 24 - 24.14 Perform the same computation as in Sec....Ch. 24 - Perform the same computation as in Sec. 24.2, but...Ch. 24 - 24.16 As in Sec. 24.2, compute F using the...Ch. 24 - Stream cross-sectional areas (A) are required for...Ch. 24 - 24.18 As described in Prob. 24.17, the...Ch. 24 - 24.21 A transportation engineering study requires...Ch. 24 - 24.22 A wind force distributed against the side of...Ch. 24 - 24.23 Water exerts pressure on the upstream ...Ch. 24 - 24.24 To estimate the size of a new dam, you have...Ch. 24 - The data listed in the following table gives...Ch. 24 - The heat flux q is the quantity of heat flowing...Ch. 24 - 24.27 The horizontal surface area of a lake at a...Ch. 24 - 24.28 Perform the same computation as in Sec....Ch. 24 - 24.29 Repeat Prob. 24.28, but use five...Ch. 24 - Repeat Prob. 24.28, but use Romberg integration to...Ch. 24 - Faradays law characterizes the voltage drop across...Ch. 24 - 24.32 Based on Faraday’s law (Prob. 24.31), use...Ch. 24 - Suppose that the current through a resistor is...Ch. 24 - If a capacitor initially holds no charge, the...Ch. 24 - 24.35 Perform the same computation as in Sec....Ch. 24 - 24.36 Repeat Prob. 24.35, but use (a) Simpson’s ...Ch. 24 - 24.37 Compute work as described in Sec. 24.4, but...Ch. 24 - As was done in Sec. 24.4, determine the work...Ch. 24 - 24.39 The work done on an object is equal to the...Ch. 24 - The rate of cooling of a body (Fig. P24.40) can be...Ch. 24 - 24.41 A rod subject to an axial load (Fig....Ch. 24 - If the velocity distribution of a fluid flowing...Ch. 24 - 24.43 Using the following data, calculate the work...Ch. 24 - 24.44 A jet fighter’s position on an aircraft...Ch. 24 - 24.45 Employ the multiple-application Simpson’s...Ch. 24 - The upward velocity of a rocket can be computed by...Ch. 24 - Referring to the data from Problem 20.61, find the...Ch. 24 - Fully developed flow moving through a 40-cm...Ch. 24 - Fully developed flow of a Bingham plasticfluid...Ch. 24 - 24.50 The enthalpy of a real gas is a ...Ch. 24 - Given the data below, find the isothermal work...Ch. 24 - 24.52 The Rosin-Rammler-Bennet (RRB) equation is...Ch. 24 - For fluid flow over a surface, the heat flux to...Ch. 24 - The pressure gradient for laminar flow through a...Ch. 24 - 24.55 Velocity data for air are collected at...
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