Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Textbook Question
Chapter 13, Problem 2RQ
Define roll gap, neutral point, and draft.
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alpha 1 is not zero
alpha 1 can equal alpha 2
use velocity triangle to solve for alpha 1
USE MATLAB ONLY
provide typed code
solve for velocity triangle and dont provide copied answer
Turbomachienery .
GIven:
vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3
Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram
Use this code for plot
% plots Velocity Tri. in Ch4
function plotveltri(al1,al2,al3,b2,b3)
S1L = [0 1];
V1x = [0 0];
V1s = [0 1*tand(al3)];
S2L = [2 3];
V2x = [0 0];
V2s = [0 1*tand(al2)];
W2s = [0 1*tand(b2)];
U2x = [3 3];
U2y = [1*tand(b2) 1*tand(al2)];
S3L = [4 5];
V3x = [0 0];
V3r = [0 1*tand(al3)];
W3r = [0 1*tand(b3)];
U3x = [5 5];
U3y = [1*tand(b3) 1*tand(al3)];
plot(S1L,V1x,'k',S1L,V1s,'r',...
S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',...…
3. Find a basis of eigenvectors and diagonalize.
4
0
-19
7
a.
b.
1-42
16
12-20
[21-61
2. Find the eigenvalues. Find the corresponding eigenvectors.
6
2
-21
[0 -3
1
3 31
a.
2 5
0
b.
3 0
-6
C.
1
1 0
-2 0
7
L6
6
0
1
1
2.
(Hint: λ =
= 3)
Chapter 13 Solutions
Manufacturing Engineering & Technology
Ch. 13 - What is the difference between a plate and a...Ch. 13 - Define roll gap, neutral point, and draft.Ch. 13 - What factors contribute to spreading in flat...Ch. 13 - What is forward slip? Why is it important?Ch. 13 - Describe the types of deflections that rolls...Ch. 13 - Describe the difference between a bloom, a slab,...Ch. 13 - Why may roller leveling be a necessary operation?Ch. 13 - List the defects commonly observed in flat...Ch. 13 - What are the advantages of tandem rolling? Pack...Ch. 13 - How are seamless tubes produced?
Ch. 13 - Why is the surface finish of a rolled product...Ch. 13 - What is a Sendzimir mill? What are its important...Ch. 13 - What is the Mannesmann process? How is it...Ch. 13 - Describe ring rolling. Is there a neutral plane in...Ch. 13 - How is back tension generated?Ch. 13 - Explain why the rolling process was invented and...Ch. 13 - Flat rolling reduces the thickness of plates and...Ch. 13 - Explain how the residual stress patterns shown in...Ch. 13 - Explain whether it would be practical to apply the...Ch. 13 - Describe the factors that influence the magnitude...Ch. 13 - Explain how you would go about applying front and...Ch. 13 - What typically is done to make sure that the...Ch. 13 - Make a list of parts that can be made by (a) shape...Ch. 13 - Describe the methods by which roll flattening can...Ch. 13 - It was stated that spreading in flat rolling...Ch. 13 - Flat rolling can be carried out by front tension...Ch. 13 - Explain the consequence of applying too high a...Ch. 13 - Note in Fig. 13.3f that the driven rolls (powered...Ch. 13 - Describe the importance of controlling roll...Ch. 13 - In Fig. 13.9a, if you remove the top compressive...Ch. 13 - Name several products that can be made by each of...Ch. 13 - List the possible consequences of rolling at (a)...Ch. 13 - It is known that in thread rolling, as illustrated...Ch. 13 - If a rolling mill encounters chatter, what process...Ch. 13 - Can the forward slip ever become negative? Why or...Ch. 13 - In Example 13.1, calculate the roll force and the...Ch. 13 - Calculate the individual drafts in each of the...Ch. 13 - Estimate the roll force, F, and the torque for an...Ch. 13 - A rolling operation takes place under the...Ch. 13 - Estimate the roll force and power for annealed...Ch. 13 - A flat-rolling operation is being carried out...Ch. 13 - A simple sketch of a four-high mill stand is shown...Ch. 13 - Obtain a piece of soft, round rubber eraser, such...Ch. 13 - If you repeat the experiment in Problem 13.45 with...Ch. 13 - Design a set of rolls to produce cross-sections...Ch. 13 - Design an experimental procedure for determining...Ch. 13 - Derive an expression for the thickest workpiece...
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- USE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, (leaving a stator in axial flow) R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),...…arrow_forwardUSE MATLAB ONLY provide typed code solve for velocity triangle and dont provide copied answer Turbomachienery . GIven: vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U = 150 m/s, b2 = -a3, a2 = -b3 Find: velocity triangle , a. magnitude of abs vel leaving rotor (m/s) b. flow absolute angles (a1, a2, a3) 3. flow rel angles (b2, b3) d. specific work done e. use code to draw vel. diagram Use this code for plot % plots Velocity Tri. in Ch4 function plotveltri(al1,al2,al3,b2,b3) S1L = [0 1]; V1x = [0 0]; V1s = [0 1*tand(al3)]; S2L = [2 3]; V2x = [0 0]; V2s = [0 1*tand(al2)]; W2s = [0 1*tand(b2)]; U2x = [3 3]; U2y = [1*tand(b2) 1*tand(al2)]; S3L = [4 5]; V3x = [0 0]; V3r = [0 1*tand(al3)]; W3r = [0 1*tand(b3)]; U3x = [5 5]; U3y = [1*tand(b3) 1*tand(al3)]; plot(S1L,V1x,'k',S1L,V1s,'r',... S2L,V2x,'k',S2L,V2s,'r',S2L,W2s,'b',U2x,U2y,'g',... S3L,V3x,'k',S3L,V3r,'r',S3L,W3r,'b',U3x,U3y,'g',...... 'LineWidth',2,'MarkerSize',10),... axis([-1 6 -4 4]), ...…arrow_forwardThe answer should equal to 1157. Please sent me the solution. Thank you!arrow_forward
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- Law of Sines Solve the following problems using the Law of Sin 7. Find side x. All dimensions are in inches. -°-67°-37° 81° x Sin A 8.820 X 67°00' 32°00' a sin A b C sin B sin Carrow_forward35. a. Determine B. b. Determine side b. c. Determine side c. 5.330 in.- ZB 73°30'arrow_forwardConsider a 12 cm internal diameter, 14 m long circular duct whose interior surface is wet. The duct is to be dried by forcing dry air at 1 atm and 15 degrees C throught it at an average velocity of 3m/s. The duct passes through a chilled roo, and it remains at an average temp of 15 degrees C at all time. Determine the mass transfer coeeficient in the duct.arrow_forward
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