Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 22, Problem 11P
Develop a user-friendly computer program for Romberg
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Calculate the vertical cross section moment of inertia for Orientations 1 and 2. State which number is the higher moment of inertia using equation 1. Given: b1=1 in, h1=1.5 in, b2=1.5 in, h2=1 in, t=0.0625 in. Then calculate the maximum deflection for a point load of 8 lb on the free end of the beam using equation 2. Given: E=10.1*10^6 psi.
1. ((bh^3)/12) - (((b-2t)(h-2t)^3))/12)
2. S = (PL^3)/(3EI)
1-69E The pressure in a natural gas pipeline is measured by the manometer shown in Fig. P1-69E with one of the arms open to the
atmosphere where the local atmospheric pressure is 14.2 psia. Determine the absolute pressure in the pipeline.
Natural
Gas
10 in
6 in
FIGURE P1-69E
Mercury
SG= 13.6
Air
2 in
+
25 in
Water
B
150 mm
120 mm
PROBLEM 15.193
The L-shaped arm BCD rotates about the z axis with a constant
angular velocity @₁ of 5 rad/s. Knowing that the 150-mm-
radius disk rotates about BC with a constant angular velocity
@2 of 4 rad/s, determine (a) the velocity of Point A, (b) the
acceleration of Point A.
Answers:
V₁ =-(0.600 m/s)i + (0.750 m/s)j - (0.600 m/s)k
a=-(6.15 m/s²)i- (3.00 m/s²)j
Chapter 22 Solutions
Numerical Methods for Engineers
Ch. 22 - 22.1 Use order of Romberg integration to...Ch. 22 - Use Romberg integration to evaluate I=12(x+1x)2dx...Ch. 22 - Use Romberg integration to evaluate 02exsinx1+x2dx...Ch. 22 - Obtain an estimate of the integral from Prob....Ch. 22 - Obtain an estimate of the integral from Prob....Ch. 22 - 22.6 Obtain an estimate of the integral from Prob....Ch. 22 - 22.7 Perform the computation in Examples 21.3 and...Ch. 22 - Employ two- through six-point Gauss-Legendre...Ch. 22 - Prob. 9PCh. 22 - 22.10 Develop a user-friendly computer program for...
Ch. 22 - Develop a user-friendly computer program for...Ch. 22 - Develop a user-friendly computer program for...Ch. 22 - 22.13 Develop a user-friendly computer program for...Ch. 22 - There is no closed form solution for the error...Ch. 22 - 22.15 The amount of mass transported via a pipe...Ch. 22 - The depths of a river H are measured at equally...Ch. 22 - 22.17 Recall that the velocity of the freefalling...Ch. 22 - 22.18 Prove that Eq. (22.15) is equivalent to...
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