Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 12, Problem 18P
Civil/Environmental Engineering
Employing the same methods as used to analyze Fig. 12.4, determine the forces and reactions for the truss shown in Fig. P12.18.
FIGURE P12.18
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Temperature (°C)
100
4. Consider the solidification of a binary Pb-10%Sn alloy. Assume that during solidification,
there is complete mixing in the liquid and no diffusion in the solid. Use the phase diagram
below to answer the following question.
(a)
Draw (on the phase diagram) the compositions of the liquid and the solid at the
interface as a function of temperature during solidification.
(b) Illustrate on the phase diagram how one would calculate the volume fraction solidified
at a given temperature.
(c)
(d)
Indicate the temperature at which solidification is complete.
Do you expect ẞ to be present in the as-cast microstructure? Explain
300
327°C
200
a
(Pb)
20
20
a + L
18.3
183°C
α + β
40
60
Composition (wt% Sn)
Liquid
600
500
232°C
B+L
400
B
61.9
97.8
300
808
100
(Sn)
200
100
Temperature (°F)
I tried this problem a couple of times and don't know where I'm going wrong can you help me out please
y(0)=1,
Using Laplace transforms solve the following differential
equations :
11) y"-4y+4y=0,
12) y+2y+2y=0,
y(0)=2.1,
y'(0) = 3.9
y'(0)=-3.
13) y+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) +9y=10e.
y(0)=0,
y'(0) = 0.
15) y+3y+2.25y=91³ +64,
y(0)=1,
y'(0) = 31.5
16) -6y+5y= 29 cos(21),
y(0)=3.2,
y'(0)=6.2
17) "+2y+2y=0,
y(0)=0,
y'(0)=1.
18) +2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)=1,
y'(0) = 2.
20) 9y-6y+y=0,
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
Chapter 12 Solutions
Numerical Methods for Engineers
Ch. 12 - Chemical/Bio Engineering
12.1 Perform the same...Ch. 12 - Chemical/Bio Engineering If the input to reactor 3...Ch. 12 - Chemical/Bio Engineering Because the system shown...Ch. 12 - Chemical/Bio Engineering
12.4 Recompute the...Ch. 12 - Chemical/Bio Engineering Solve the same system as...Ch. 12 - Chemical/Bio Engineering
12.6 Figure P12.6 shows...Ch. 12 - Chemical/Bio Engineering
12.7 Employing the same...Ch. 12 - Chemical/Bio Engineering The Lower Colorado River...Ch. 12 - Chemical/Bio Engineering A stage extraction...Ch. 12 - Chemical/Bio Engineering
12.10 An irreversible,...
Ch. 12 - Chemical/Bio Engineering
12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering
12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering
12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering
12.22 A truss is...Ch. 12 - Electrical Engineering
12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering
12.25 Solve the circuit in...Ch. 12 - Electrical Engineering
12.26 An electrical...Ch. 12 - Electrical Engineering
12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering
12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering
12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering
12.40 A rod on a...
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