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- Question : 1P - Select a mechanical component from Part 3 of this book (roller bearings, springs, etc.), go to your university
- Question : 2P - Select a mechanical component from Part 3 of this book (roller bearings, springs, etc.), go to the Internet, and, using a search engine, report on the information obtained on five manufacturers or suppliers.
- Question : 3P - Select an organization listed in Sec. 1
- Question : 4P - Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Read the history of the Code of Ethics and briefly discuss your reading.
- Question : 5P - Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Read the complete NSPE Code of Ethics for Engineers and briefly discuss your reading.
- Question : 6P - Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Go to Ethics Resources and review one or more of the topics given. A sample of some of the topics may be: (a) Education Publications (b) Ethics Case Search (c) Ethics Exam (d) FAQ (e) Milton Lunch Contest ( f) Other Resources (g) You Be the Judge Briefly discuss your reading.
- Question : 7P - Estimate how many times more expensive it is to grind a steel part to a tolerance of 60.0005 in versus turning it to a tolerance of 60.003 in.
- Question : 8P - The costs to manufacture a part using methods A and B are estimated by CA 5 10 1 0.8 P and CB 5 60 1 0.8 P 2 0.005 P2 respectively, where the cost C is in dollars and P is the number of parts. Estimate the breakeven point.
- Question : 9P - A cylindrical part of diameter d is loaded by an axial force P. This causes a stress of PyA, where A 5 pd2 y4. If the load is known with an uncertainty of 610 percent, the diameter is known within 65 percent (tolerances), and the stress that causes failure (strength) is known within 615 percent, determine the minimum design factor that will guarantee that the part will not fail.
- Question : 10P - When one knows the true values x1 and x2 and has approximations X1 and X2 at hand, one can see where errors may arise. By viewing error as something to be added to an approximation to attain a true value, it follows that the error ei is related to Xi and xi as xi 5 Xi 1 ei (a) Show that the error in a sum X1 1 X2 is (x1 1 x2) 2 (X1 1 X2) 5 e1 1 e2 (b) Show that the error in a difference X1 2 X2 is (x1 2 x2) 2 (X1 2 X2) 5 e1 2 e2 (c) Show that the error in a product X1X2 is x1x2 2 X1X2 < X1X2 a e1 X1 1 e2 X2 b (d) Show that in a quotient X1yX2 the error is x1 x2 2 X1 X2 < X1 X2 a e1 X1 2 e2 X2 b
- Question : 11P - Use the true values x1 5 17 and x2 5 18 (a) Demonstrate the correctness of the error equation from Prob. 1
- Question : 12P - A solid circular rod of diameter d undergoes a bending moment M 5 1000 lbf ? in inducing a stress s 5 32My(pd3 ). Using a material strength of 25 kpsi and a design factor of 2.5, determine the minimum diameter of the rod. Using Table A
- Question : 13P - A fatigue test is performed on rotating beam specimens where, for each rotation cycle, the specimens experience tensile and compressive stresses of equal magnitude. The cycles-to-failure experience with 69 specimens of 5160H steel from 1.25-in hexagonal bar stock was as follows: where L is the life in thousands of cycles, and f is the class frequency of failures. (a) Estimate the mean and standard deviation of the life for the population from which the sample was drawn. (b) Presuming the distribution is normal, how many specimens are predicted to fail at less than 115 kcycles?
- Question : 14P - Determinations of the ultimate tensile strength Sut of stainless-steel sheet (17-7PH, condition TH 1050), in sizes from 0.016 to 0.062 in, in 197 tests combined into seven classes were where Sut is the class midpoint and f is the class frequency. Estimate the mean and standard deviation.
- Question : 15P - The lives of parts are often expressed as the number of cycles of operation that a specified percentage of a population will exceed before experiencing failure. The symbol L is used to designate this definition of life. Thus we can speak of L10 life as the number of cycles to failure exceeded by 90 percent of a population of parts. Given a normal distribution model, with a mean of L 5 122.9 kilocycles and standard deviation of sL 5 30.3 kilocycles, estimate the corresponding L10 life.
- Question : 16P - The tensile 0.2 percent offset yield strength of AISI 1137 cold-drawn steel bars up to 1 inch in diameter from 2 mills and 25 heats is reported as follows: where Sy is the class midpoint in kpsi and f is the number in each class. Presuming the distribution is normal, what is the yield strength exceeded by 99 percent of the population?
- Question : 17P - A mechanical system comprises three subsystems in series with reliabilities of 98, 96, and 94 percent. What is the overall reliability of the system?
- Question : 18P - From Sec. 3
- Question : 19P - A round cold-drawn 1045 steel rod has a mean strength Sy 5 95.5 kpsi with a standard deviation of s
- Question : 20P - A beam subjected to axial loading will experience an axial stress, sa. If, in addition, the beam is subjected to a bending load, a bending stress, sb, will also occur at the outer fibers of the beam. The maximum stress at the outer fibers of the beam will be smax 5 sa 1 sb. Assume that sa and sb are independent and sa 5 90 MPa, s
- Question : 21P - Three blocks A, B, and C and a grooved block D have dimensions a, b, c, and d as follows: a 5 1.500 6 0.001 in b 5 2.000 6 0.003 in c 5 3.000 6 0.004 in d 5 6.520 6 0.010 in (a) Determine the mean gap w and its tolerance. (b) Determine the mean size of d that will assure that w $ 0.010 in.
- Question : 22P - The volume of a rectangular parallelepiped is given by V 5 xyz. If x 5 a 6 Da, y 5 b 6 Db, z 5 c 6 Dc, show that
- Question : 23P - A pivot in a linkage has a pin in the figure whose dimension a 6 ta is to be established. The thickness of the link clevis is 1.500 6 0.005 in. The designer has concluded that a gap of between 0.004 and 0.05 in will satisfactorily sustain the function of the linkage pivot. Determine the dimension a and its tolerance.
- Question : 24P - A circular cross section O ring has the dimensions shown in the figure. In particular, an AS 568A standard No. 240 O ring has an inside diameter Di and a cross-section diameter d of Di 5 3.734 6 0.028 in di 5 0.139 6 0.004 in Estimate the mean outside diameter Do and its bilateral tolerance
- Question : 25P to 28P - For the table given, repeat Prob. 1
- Question : 29P - Convert the following to appropriate ips units: (a) A stress, s 5 150 MPa. (b) A force, F 5 2 kN. (c) A moment, M 5 150 N ? m. (d) An area, A 5 1 500 mm2 . (e) A second moment of area, I 5 750 cm4 . (f) A modulus of elasticity, E 5 145 GPa. (g) A speed, v 5 75 km/h. (h) A volume, V 5 1 liter.
- Question : 30P - Convert the following to appropriate SI units: (a) A length, l 5 5 ft. (b) A stress, s 5 90 kpsi. (c) A pressure, p 5 25 psi. (d) A section modulus, Z 5 12 in3 . (e) A unit weight, w 5 0.208 lbf/in. ( f ) A deflection, d 5 0.001 89 in. (g) A velocity, v 5 1 200 ft/min. (h) A unit strain, e 5 0.002 15 in/in. (i) A volume, V 5 1830 in3 .
- Question : 31P - Generally, final design results are rounded to or fixed to three digits because the given data cannot justify a greater display. In addition, prefixes should be selected so as to limit number strings to no more than four digits to the left of the decimal point. Using these rules, as well as those for the choice of prefixes, solve the following relations: (a) s 5 MyZ, where M 5 1770 lbf ? in and Z 5 0.934 in3 . (b) s 5 FyA, where F 5 9440 lbf and A 5 23.8 in2 . (c) y 5 Fl3 y3EI, where F 5 270 lbf, l 5 31.5 in, E 5 30 Mpsi, and I 5 0.154 in4 . (d) u 5 TlyGJ, where T 5 9 740 lbf ? in, l 5 9.85 in, G 5 11.3 Mpsi, and J 5 pd4 y32 with d 5 1.00 in.
- Question : 32P - Repeat Prob. 1
- Question : 33P - Repeat Prob. 1

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