CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 4RQ
Define state.
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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
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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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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