EBK THINKING LIKE AN ENGINEER
4th Edition
ISBN: 8220103633512
Author: OHLAND
Publisher: PEARSON
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Chapter 7, Problem 24RQ
Many common quantities with derived units do not have a unit name, such as velocity. For questions 7-24 to 7-29, express the variable shown in terms of fundamental dimensions.
24. Absorbed radiation dose (D) [J / kg]
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In a structural reliability problem, the resistance (capacity) R and load effect (demand) S random variables
associated with a failure mode of the structure of interest are normally distributed and statistically
independent with the following probability distribution parameters (or statistics) in consistent units:
MR = 12, σR = 3
μs = 5, σs = 2
(a) Determine the exact probability of failure pF ·
The resistance R and load effect S for a given failure mode are statistically independent random variables
with marginal PDF's
1
fR (r) =
0≤r≤100
100'
fs(s)=0.05e-0.05s
(a) Determine the probability of failure by computing the probability content of the failure domain defined
as {r
Please solve this problem as soon as possible My ID# 016948724
Chapter 7 Solutions
EBK THINKING LIKE AN ENGINEER
Ch. 7.1 - Express the following values using an appropriate...Ch. 7.1 - Indicate if the following units are correctly...Ch. 7.3 - Comprehension Check 7-3 The highest mountain in...Ch. 7.3 - To be considered a full-time employee, companies...Ch. 7.4 - In January 2008, Scientific American reported that...Ch. 7.4 - Officially, a hurricane is a tropical storm with...Ch. 7.4 - Many toilets in commercial establishments have a...Ch. 7.5 - Comprehension Check 7-8 A hogshead is a unit of...Ch. 7.5 - Comprehension Check 7-9 In NCAA basketball, a...Ch. 7.5 - A boat is traveling at 20 knots. Convert this...
Ch. 7.6 - Determine the fundamental dimensions of the...Ch. 7.6 - Determine the fundamental dimensions of the...Ch. 7.6 - Identify the quantity through the use of...Ch. 7.7 - The power absorbed by a resistor can be given by P...Ch. 7.7 - Indicate whether the following equation is...Ch. 7.8 - A basketball has a diameter of approximately 27...Ch. 7.8 - Eclipses, both solar and lunar, follow a cycle of...Ch. 7 - Express the following values using scientific...Ch. 7 - Express the following values using scientific...Ch. 7 - Express the following values using scientific...Ch. 7 - Complete the following table.Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the longest distance? A....Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the largest volume? A....Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the fastest speed? A. 50...Ch. 7 - Complete the following table. gallons per minute...Ch. 7 - Which of the following is the largest mass...Ch. 7 - Which of the following is the largest volumetric...Ch. 7 - In China, one "bu" is 1.66 meters [m]. The average...Ch. 7 - On April20, 2010, the DeepWater Horizon oil...Ch. 7 - In China, one "fen" is defined as 3.3 millimeters...Ch. 7 - A blink of a human eye takes approximately 300-400...Ch. 7 - If the Sl prefix system was expanded to other...Ch. 7 - A "jiffy" is defined as 1/60 of a second [s]....Ch. 7 - A "knot'' is a unit of speed in marine travel. One...Ch. 7 - The Earth's escape velocity is 7 miles per second...Ch. 7 - A manufacturing process uses 10 pound-mass of...Ch. 7 - CA 7-23 Determine the fundamental dimensions of...Ch. 7 - Determine the fundamental dimensions of the...Ch. 7 - Identify the following quantities through the use...Ch. 7 - Football helmet safety is a current focus of...Ch. 7 - For each equation listed, indicate if the equation...Ch. 7 - What are the dimensions of the coefficient (k) in...Ch. 7 - When shipping freight around the world, most...Ch. 7 - A circular window has a 10-inch [in] radius. What...Ch. 7 - A body traveling in a circle experiences an...Ch. 7 - In NCAA basketball, the center circle diameter...Ch. 7 - Continental drift has an average velocity of 2...Ch. 7 - In many engineering uses, the value of "g," the...Ch. 7 - In 2001 , the first iPodTM by Apple had a rated...Ch. 7 - New plastic fuel tanks for cars can be molded to...Ch. 7 - The longest sea bridge, the Jiaozhou Bay Bridge in...Ch. 7 - The term "deep sea" refers to everything in the...Ch. 7 - A category F5 tornado can have wind speeds of 300...Ch. 7 - Some species of bamboo have been measured to grow...Ch. 7 - A new hybrid automobile with regenerative braking...Ch. 7 - If a liquid evaporates at a rate of 50 kilograms...Ch. 7 - Acetone must be kept in a closed pressure tank due...Ch. 7 - The AbioCorTM artificial heart pumps at a rate of...Ch. 7 - If a pump moves water at 70 gallons per minute...Ch. 7 - On April 20, 2010, the DeepWater Horizon oil...Ch. 7 - One of the National Academy of Engineering Grand...Ch. 7 - The board foot is often used as a measure of...Ch. 7 - The oxgang is unit of area equal to 20 acres....Ch. 7 - In an effort to modernize the United States...Ch. 7 - Old Mississippi River paddle wheelers routinely...Ch. 7 - The grain is a unit of mass equal to 64.8...Ch. 7 - The hand [hh] is a traditional unit for measuring...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - Many common quantities with derived units do not...Ch. 7 - Electrical ficld (E) [V /m]Ch. 7 - Acoustic impedance (Z) [Pa s/m]Ch. 7 - Magnetic permeability ()[V S / A]Ch. 7 - Ideal gas" constant (R) [atm L/(mol K )]Ch. 7 - Stefan-Boltzmann constant () [W I (m2K4)]Ch. 7 - Analyze l he following term using fundamental...Ch. 7 - We wish to analyze the velocity of a fluid exiting...Ch. 7 - Wind energy uses large fans to extract energy from...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - A dust collection system operates using the...Ch. 7 - Determine if the following expression is a valid...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - A box has a volume of 10 gallons [gal]. If two...Ch. 7 - A 1 25-gallon [gal] quantity of molten (liquefied)...Ch. 7 - In American football, the playing field is 53.33...Ch. 7 - For almost four millennia, the Pyramid of Khufu...Ch. 7 - A torus is essentially a tube wrapped into a circ...Ch. 7 - In many engineering uses, the value of "g," the...
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- The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? TS I y 18T 32T This a 12 x 18T C 48T 5arrow_forwardQuestion 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.arrow_forward5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motorarrow_forward
- 1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. (1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°) When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on (2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this question because the loading condition is fatigue) and (3) a fatigue analysis using modified Goodman. Note) A standard diameter is not required for the questions. 10 in Darrow_forward3 N2=28 P(diametral pitch)=8 for all gears Coupled to 25 hp motor N3=34 Full depth spur gears with pressure angle=20° N₂=2000 rpm (1) Compute the circular pitch, the center-to-center distance, and base circle radii. (2) Draw the free body diagram of gear 3 and show all the forces and the torque. (3) In mounting gears, the center-to-center distance was reduced by 0.1 inch. Calculate the new values of center-to-center distance, pressure angle, base circle radii, and pitch circle diameters. (4)What is the new tangential and radial forces for gear 3? (5) Under the new center to center distance, is the contact ratio (mc) increasing or decreasing?arrow_forward2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart. A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3 belt is 6 in. Use CD=1. Answer the following questions. (1) What is the total length of the belt according to the given geometry? (2) Find the centrifugal force (Fc) applied to the belt. (3) What is the transmitted torque through the pulley system given 60hp? (4) Using the allowable tension, find the force (F₁) on the tight side. What is the tension at the loose side (F2) and the initial tension (F.)? (5) Using the forces, estimate the developed friction coefficient (f) (6) Based on the forces and the given rotational speed, rate the pulley set. In other words, what is the horse power that can be transmitted by the pulley system? (7) To reduce the applied tension on the tight side, the friction coefficient is increased to 0.75. Find out the…arrow_forward
- The tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
- CE-112 solve this problem step by step and give me the correct answer pleasearrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forward
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