Tech Manual for Erjavec's Automotive Technology: A Systems Approach
6th Edition
ISBN: 9781133933731
Author: ERJAVEC, Jack, Thompson, Rob
Publisher: Delmar Cengage Learning
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Chapter 3, Problem 15RQ
When one object is moved over another object, the resistance to motion is called
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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 3 Solutions
Tech Manual for Erjavec's Automotive Technology: A Systems Approach
Ch. 3 - Describe Newtons first law of motion and give an...Ch. 3 - In what four states does matter exist? Cite...Ch. 3 - Explain Newtons second law of motion and give an...Ch. 3 - Describe five different forms of energy.Ch. 3 - Describe four different types of energy...Ch. 3 - Explain why a rotating, tilted wheel moves in the...Ch. 3 - Why are gases and liquids considered fluids?Ch. 3 - Describe how out-of-balance forces can affect the...Ch. 3 - Describe the effect of pressure on an enclosed...Ch. 3 - The nucleus of an atom contains and
Ch. 3 - Which of the following is the correct formula used...Ch. 3 - Work is calculated by multiplying by.Ch. 3 - Prob. 13RQCh. 3 - Name three types of simple machines.Ch. 3 - When one object is moved over another object, the...Ch. 3 - Weight is the measurement of the earths on an...Ch. 3 - Torque is a force that does work with a action.Ch. 3 - Explain why elastic mounts are used to connect the...Ch. 3 - Vacuum is defined as the absence ofCh. 3 - While discussing different types of energy:...Ch. 3 - While discussing friction in matter: Technician A...Ch. 3 - While discussing mass and weight: Technician A...Ch. 3 - When applying the principles of work and force,...Ch. 3 - All these statements about energy and energy...Ch. 3 - Which of the following is not a true statement...
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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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