Solution Manual
Shigley's Mechanical Engineering Design 11th Edition
By Keith Nisbett Richard Budynas
Chapter 1 Solutions - Rev. B, Page 1/6
, Shigleys Mechanical Engineering Design 11th Edition
Chapter 1
Problems 1-1 Through 1-6 Are For Student Research. No Standard Solutions Are Provided.
1-7 From Fig. 1-2, Cost Of Grinding To 0.0005 In Is 270%. Cost Of Turning To 0.003
In Is 60%.
Relative Cost Of Grinding Vs. Turning = 270/60 = 4.5 Times Ans.
1-8 CA = CB,
10 + 0.8 P = 60 + 0.8 P − 0.005 P 2
P 2 = 50/0.005 P = 100 Parts Ans.
1-9 Max. Load = 1.10 P
Min. Area = (0.95)2A
Min. Strength = 0.85 S
To Offset The Absolute Uncertainties, The Design Factor, From Eq. (1-1) Should Be
1.10
N = = 1.43 Ans.
0.85(0.95)
2
D
1-10 (A) X1 +
X2: X1 + X2 = X1 + E1 + X 2 + E2
Error = E = ( X1 + X2 ) − ( X1 + X 2
)
= E1 + E2 Ans.
(b) X1 − X2:
X1 − X2 = X1 + E1 − ( X 2 + E2 ) Ans.
E = ( X1 − X2 ) − ( X1 − X 2 ) = E1 −
(c) X1 X2: E2
X1x2 = ( X1 + E1 )( X 2 + E2 )
E = X1x2 − X1X 2 = X1e2 + X 2e1 + E1e2
X E + X E = X X E1 E2 Ans.
1 2 2 1 1 2
+
X X
Chapter 1 Solutions - Rev. B, Page 2/6
, 1 2
Chapter 1 Solutions - Rev. B, Page 3/6
, (d) X1/X2:
X1 X1 + E1 X1 1+ E1 X1
= =
X X + E X 1+ E X
2 2 2 2 2 2
−1
E E 1+ E X E E E E
1+ X
2 1 − 2
Then 1+ E X 1+ X 1− X 1+ X − X
1 1 1 2 1 2
2 X2 2 2 1 2 1 2
X1 X1
Thus, E = − X1 E1 Ans.
X X X −
E2X X
2 2 2 1 2
1-11 (A) X1 = 7 = 2.645 751 311 1
X1 = 2.64 (3 Correct Digits)
X2 = 8 = 2.828 427 124 7
X2 = 2.82 (3 Correct Digits)
X1 + X2 = 5.474 178 435 8
E1 = X1 − X1 = 0.005 751 311 1
E2 = X2 − X2 = 0.008 427 124 7
E = E1 + E2 = 0.014 178 435 8
Sum = X1 + X2 = X1 + X2 + E
= 2.64 + 2.82 + 0.014 178 435 8 = 5.474 178 435 8 Checks
(b) X1 = 2.65, X2 = 2.83 (3 Digit Significant Numbers)
E1 = X1 − X1 = − 0.004 248 688 9
E2 = X2 − X2 = − 0.001 572 875 3
E = E1 + E2 = − 0.005 821 564
2 Sum = X1 + X2 = X1 + X2 + E
= 2.65 +2.83 − 0.001 572 875 3 = 5.474 178 435 8 Checks
S 16 (1000) ( )
25 103
1-12 = = D = 0.799 In Ans.
D
3
Nd 2.5
Table A-17: D = 87 In Ans.
Factor Of N=
S 25 103 ( ) = 3.29 Ans.
Safety: =
16 (1000)
()
3
7
8
N
1-13 Eq. (1-5): R = Ri = 0.98(0.96)0.94 = 0.88
I=1
Overall Reliability = 88 Percent Ans.
Chapter 1 Solutions - Rev. B, Page 4/6
Shigley's Mechanical Engineering Design 11th Edition
By Keith Nisbett Richard Budynas
Chapter 1 Solutions - Rev. B, Page 1/6
, Shigleys Mechanical Engineering Design 11th Edition
Chapter 1
Problems 1-1 Through 1-6 Are For Student Research. No Standard Solutions Are Provided.
1-7 From Fig. 1-2, Cost Of Grinding To 0.0005 In Is 270%. Cost Of Turning To 0.003
In Is 60%.
Relative Cost Of Grinding Vs. Turning = 270/60 = 4.5 Times Ans.
1-8 CA = CB,
10 + 0.8 P = 60 + 0.8 P − 0.005 P 2
P 2 = 50/0.005 P = 100 Parts Ans.
1-9 Max. Load = 1.10 P
Min. Area = (0.95)2A
Min. Strength = 0.85 S
To Offset The Absolute Uncertainties, The Design Factor, From Eq. (1-1) Should Be
1.10
N = = 1.43 Ans.
0.85(0.95)
2
D
1-10 (A) X1 +
X2: X1 + X2 = X1 + E1 + X 2 + E2
Error = E = ( X1 + X2 ) − ( X1 + X 2
)
= E1 + E2 Ans.
(b) X1 − X2:
X1 − X2 = X1 + E1 − ( X 2 + E2 ) Ans.
E = ( X1 − X2 ) − ( X1 − X 2 ) = E1 −
(c) X1 X2: E2
X1x2 = ( X1 + E1 )( X 2 + E2 )
E = X1x2 − X1X 2 = X1e2 + X 2e1 + E1e2
X E + X E = X X E1 E2 Ans.
1 2 2 1 1 2
+
X X
Chapter 1 Solutions - Rev. B, Page 2/6
, 1 2
Chapter 1 Solutions - Rev. B, Page 3/6
, (d) X1/X2:
X1 X1 + E1 X1 1+ E1 X1
= =
X X + E X 1+ E X
2 2 2 2 2 2
−1
E E 1+ E X E E E E
1+ X
2 1 − 2
Then 1+ E X 1+ X 1− X 1+ X − X
1 1 1 2 1 2
2 X2 2 2 1 2 1 2
X1 X1
Thus, E = − X1 E1 Ans.
X X X −
E2X X
2 2 2 1 2
1-11 (A) X1 = 7 = 2.645 751 311 1
X1 = 2.64 (3 Correct Digits)
X2 = 8 = 2.828 427 124 7
X2 = 2.82 (3 Correct Digits)
X1 + X2 = 5.474 178 435 8
E1 = X1 − X1 = 0.005 751 311 1
E2 = X2 − X2 = 0.008 427 124 7
E = E1 + E2 = 0.014 178 435 8
Sum = X1 + X2 = X1 + X2 + E
= 2.64 + 2.82 + 0.014 178 435 8 = 5.474 178 435 8 Checks
(b) X1 = 2.65, X2 = 2.83 (3 Digit Significant Numbers)
E1 = X1 − X1 = − 0.004 248 688 9
E2 = X2 − X2 = − 0.001 572 875 3
E = E1 + E2 = − 0.005 821 564
2 Sum = X1 + X2 = X1 + X2 + E
= 2.65 +2.83 − 0.001 572 875 3 = 5.474 178 435 8 Checks
S 16 (1000) ( )
25 103
1-12 = = D = 0.799 In Ans.
D
3
Nd 2.5
Table A-17: D = 87 In Ans.
Factor Of N=
S 25 103 ( ) = 3.29 Ans.
Safety: =
16 (1000)
()
3
7
8
N
1-13 Eq. (1-5): R = Ri = 0.98(0.96)0.94 = 0.88
I=1
Overall Reliability = 88 Percent Ans.
Chapter 1 Solutions - Rev. B, Page 4/6