Budynas ,Chapters Fully Complete 2025!!
Chapter 1 v
Problems 1-1 through 1-6 are for student research. No standard solutions are provided.
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1-7 From Fig. 1-2, cost of grinding to 0.0005 in is 270%. Cost of turning to 0.003 in is
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60%.
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Relative cost of grinding vs. turning = 270/60 = 4.5 timesv Ans. v v v v v v v v v
1-8 CA = CB,
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10 + 0.8 P = 60 + 0.8 P 0.005 P 2
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P 2 = 50/0.005
v v v P = 100 parts Ans.
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1-9 Max. load = 1.10 P
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Min. area = (0.95)2A
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Min. strength = 0.85 S
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To offset the absolute uncertainties, the design factor, from Eq. (1-1) should be
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1.10
nd 1.43 Ans.
0.850.95
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1-10 (a) X1 +v v
vX2: x1 x2 X1 e1 X 2 e2
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error e x1 x2 X1 X2 v v v v v v v v v v v v v v
e1 e2 v
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(b) X1 X2: v v
x1 x2 X1 e1 X2 e2
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e x1 x2 X1 X2 e1 e2
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(c) X1 X2: v
x1x2 X1 e1 X2 e2
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e x1 x2 X1 X2 X1e2 X2e1 e1e2
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X e Xe XX e2 Ans.
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Chapter 1 Solutions - Rev. B, Page 1/6
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, 1 2 v
Chapter 1 Solutions - Rev. B, Page 2/6
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, (d) X1/X2:
x1 X 1 e1 X X1
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Thus, e X1 e Ans.
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1-11 (a) x1 = 7 = 2.645 751 311 1
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X1 = 2.64 (3 correct digits)
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x2 = 8 = 2.828 427 124 7
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X2 = 2.82 (3 correct digits)
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x1 + x2 = 5.474 178 435 8
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e1 = x1 X1 = 0.005 751 311 1
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e2 = x2 X2 = 0.008 427 124 7
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e = e1 + e2 = 0.014 178 435 8
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Sum = x1 + x2 = X1 + X2 + e
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= 2.64 + 2.82 + 0.014 178 435 8 = 5.474 178 435 8
v v v v v v v v v v v v v Checks
(b) X1 = 2.65, X2 = 2.83 (3 digit significant numbers)
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e1 = x1 X1 = 0.004 248 688 9
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e2 = x2 X2 = 0.001 572 875 3
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e = e1 + e2 = 0.005 821 564 2
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Sum = x1 + x2 = X1 + X2 + e
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= 2.65 +2.83 0.001 572 875 3 = 5.474 178 435 8
v v v v v v v v v v v v Checks
S 16 1000 25 103 v
1-12
v
v d 0.799 v v Ans.
in v
d 3
d
n 2.5 v
7
Table A-17: v d = 8 in Ans.
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Factor of safety:v v n S
25 103
v 3.29 v v
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16 1000 v
78
3
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1-13 v v Eq. (1-5):
v R = Ri = 0.98(0.96)0.94 = 0.88
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Overall reliability = 88 percent
v v v v Ans.
Chapter 1 Solutions - Rev. B, Page 3/6
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, Chapter 1 Solutions - Rev. B, Page 4/6
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