EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Textbook Question
Chapter 8, Problem 25A
Write these numbers as words.
25. 1.5
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Obtain the voltage across the capacitor for the following input: (a) 5Volts; (b) 3sin(t); (c) 2 cos(t). please show that you use Laplace transform and Cramer's rule.
5.12 A steel wire 300 feet long and 1½-½ inch in diameter
weighs 0.042 #/ft. If the wire is suspended vertically from
its upper end, calculate (a) the maximum tensile stress due
to its own weight and (b) the maximum weight W that can
be safely supported assuming a safety factor of three and
an ultimate tensile stress of 65 ksi.
a. The maximum tensile stress due to
its own weight
b. Maximum weight
5.6
The turnbuckles in the diagram shown are tightened
until the compression block DB exerts a force of 10,000# on
the beam at B. Member DB is a hollow shaft with an inner
diameter of 1.0 inch and outer diameter of 2 inches. Rods
AD and CD each have cross-sectional areas of 1.0 in.². Pin
C has a diameter of 0.75 inch. Determine:
a. The axial stress in BD-
b. The axial stress in CD-
c. The shearing stress in pin C.
B
UB
CD
PIN
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Chapter 8 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 8 - Prob. 1ACh. 8 - Use Figure 8-4 to answer exercises 1-6. All...Ch. 8 - Prob. 3ACh. 8 - Prob. 4ACh. 8 - Prob. 5ACh. 8 - Prob. 6ACh. 8 - Prob. 7ACh. 8 - Prob. 8ACh. 8 - Prob. 9ACh. 8 - In each of the following exercises, the value on...
Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - In each of the following exercises, the value on...Ch. 8 - Write these numbers as words. 20. 0.064Ch. 8 - Write these numbers as words. 21. 0.007Ch. 8 - Write these numbers as words. 22. 0.132Ch. 8 - Write these numbers as words. 23. 0.0035Ch. 8 - Write these numbers as words. 24. 0.108Ch. 8 - Write these numbers as words. 25. 1.5Ch. 8 - Write these numbers as words. 26. 10.37Ch. 8 - Write these numbers as words. 27. 16.0007Ch. 8 - Write these numbers as words. 28. 4.0012Ch. 8 - Write these numbers as words. 29. 13.103Ch. 8 - Write these words as numbers. 30. eighty-four...Ch. 8 - Write these words as numbers. 31. three tenthsCh. 8 - Write these words as numbers. 32. forty-three and...Ch. 8 - Write these words as numbers. 33. four and five...Ch. 8 - Write these words as numbers. 34. thirty-five...Ch. 8 - Write these words as numbers. 35. ten and two...Ch. 8 - Write these words as numbers. 36. five and one...Ch. 8 - Write these words as numbers. 37. twenty and...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these numbers as words using the alternative...Ch. 8 - Write these words as numbers. 46. forty-three and...Ch. 8 - Write these words as numbers. 47. fourteen and...Ch. 8 - Write these words as numbers. 48. thirty-seven and...Ch. 8 - Write these words as numbers. 49. one hundred six...Ch. 8 - Write these words as numbers. 50. seventy-six...Ch. 8 - Write these words as numbers. 51. four and one...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...Ch. 8 - Each of the following common fractions has a...
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- 5.15 The ends of the laminated-wood roof arch shown are tied together with a horizontal steel rod 90 feet, "10 inches" long, which must withstand a total load of 60 k. Two turn- buckles are used. All threaded rod ends are upset. a. Determine the required diameter D of the rod if the maximum allowable stress is 20 ksi. b. If the unstressed length of the rod is 90 feet, "10 inches" and there are four threads per inch on the upset ends, how many turns of one turnbuckle will bring it back to its unstressed length after it has elongated under full allowable tensile stress? E = 29 × 103 ksi. a. Required diameter D b. Number of turns LAMINATED WOOD ROOF ARCH TIE ROD TURNBUCKLE DETAIL: UPSET ENDarrow_forward5.8 A reinforced concrete column is 12 feet long, and un- der load, it shortens 3 inches". Determine its average unit strain. Average Unit Strainarrow_forward5.10 A 500-foot-long steel cable is loaded in tension and registers an average unit strain of 0.005. Determine the total elongation due to this load. Total Elongationarrow_forward
- 5.14 A 100-foot-long surveyor's steel tape with a cross- sectional area of 0.006 square inch must be stretched with a pull of 16# when in use. If the modulus of elasticity of this steel is E = 30,000 ksi, (a) what is the total elongation 8 in the 100 foot tape and (b) what unit tensile stress is pro- duced by the pull? a. Elongation b. Tensile Stressarrow_forwardObtain the voltage across the capacitor for the following input: (a) 5Volts; (b) 3sin(t); (c) 2 cos(t). Use Laplace transform and Cramer's rule.arrow_forwardObtain the voltage across the capacitor for the following input: (a) 5Volts; (b) 3sin(t); (c) 2 cos(t). Use Laplace transform and Cramer's rule.arrow_forward
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