FOR SHIGLEYS
MECHANICAL
ENGINEERING DESIGN
TH
9 EDITION LATEST
EDITION 2025/2026
Chapter 1 Solutions - Rev. B, Page 1/6
, 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 C A = 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)2 A
Min. Strength = 0.85 S
To Offset The Absolute Uncertainties, The Design Factor, From Eq. (1-1) Should Be
1.10
Nd 1.43 Ans.
0.850.95
2
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
E X1 X2 X1 X 2 E1 Ans.
(c) X1 X2 : E2
X1x2 X1 E1 X 2 E2
E X1 X2 X1 X 2 X1 e2 X 2 e1 E1 e2
XE X E X X E2 Ans.
E1
1 2 2 1 1 2
X X
1 2
Chapter 1 Solutions - Rev. B, Page 2/6
, (d) X1 /X2 :
X1 X1 E1 X 1 X1
E1 1
X X E X 1 E X
2 2 2 2 2 2
1
E 1 E X E E E E
E
1 2 The
1 1
2 1 1 1 2 1 2
1 n 1
X2 X2 1 X 2 X1 X 2 X1 X2
E2
X1 X1
Thus, E X1 E Ans.
E1 2
X X X X 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
1-12
S
16 1000 25 10
3
D 0.799 Ans.
In
N D 2.5
3
Table A-17: D = 87 In Ans.
Factor Of N S
25 10 3 3.29 Ans.
Safety:
16 1000
7
3
Chapter 1 Solutions - Rev. B, Page 3/6
, 1-13 Eq. (1-5): R = Ri = 0.98(0.96)0.94 = 0.88
I1
Overall Reliability = 88 Percent Ans.
Chapter 1 Solutions - Rev. B, Page 4/6