Thinking Like An Engineer: An Active Learning Approach, Student Value Edition (4th Edition)
4th Edition
ISBN: 9780134640150
Author: STEPHAN, Elizabeth A.; Bowman, David R.; Park, William J.; Sill, Benjamin L.; Ohland, Matthew W.
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 2RQ
Which of the following statements about design is NOT true?
- A. Design is an iterative process.
- B. Customer feedback is part of the design process.
- C. Designs must result in tangible products.
- D. Failure is an important part of the design process.
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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
D
3
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?
2. 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…
Chapter 3 Solutions
Thinking Like An Engineer: An Active Learning Approach, Student Value Edition (4th Edition)
Ch. 3.3 - We often express criteria in terms that are not...Ch. 3 - Which of the following statements about design is...Ch. 3 - Which of the following statements about design is...Ch. 3 - Which of the following do NOT describe a possible...Ch. 3 - Prob. 4RQCh. 3 - What is the best way to choose a final design? A....Ch. 3 - Which of the following definitions for...Ch. 3 - Which of the following is NOT a good way to build...Ch. 3 - Which of the following describes random error? A....Ch. 3 - What should be the first consideration when...
Ch. 3 - 1. Prove the law of the lever.Ch. 3 - Demonstrate conservation of energy (potential...Ch. 3 - Determine the coefficient of static and sliding...Ch. 3 - 4. Prove that the angle of incidence is equal to...Ch. 3 - Prob. 5MDPCh. 3 - Prob. 6MDPCh. 3 - Prob. 8MDPCh. 3 - Find the center of gravity of an irregular piece...Ch. 3 - 10. Show that for circular motion, force = mass ...Ch. 3 - Prob. 11MDPCh. 3 - Measure the effective porosity of a sand sample.Ch. 3 - Prob. 13MDPCh. 3 - 14. Prove Hookes law for a spring.Ch. 3 - Prob. 15MDPCh. 3 - Prob. 16MDPCh. 3 - Prob. 18MDPCh. 3 - Prob. 19MDPCh. 3 - 21. Relate the magnetic strength to the radius.Ch. 3 - Determine the density and specific gravity of a...Ch. 3 - Determine the thickness of a specified coin or a...Ch. 3 - Prob. 26MDPCh. 3 - What is the volumetric flow rate from your shower?
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- 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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