Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 8, Problem 58P
a.
To determine
To plot:The root locus of the given system.
b.
To determine
The value of
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Q1.
If the yield stress (σy) of a material is 375MPa, determine whether yield is
predicted for the stresses acting on both the elements shown below using:
(a) Tresca Criterion
(b) Von Mises Criterion
P
Element A
R
S
Element B
Note: your values for P (vertical load on Element A) should be negative (i.e.
corresponding to a compressive vertical load).
Q. After a puncture a driver is attempting to remove a wheel nut by applying a force
of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace
is a hollow steel tube (see section aa) of internal diameter r mm and external
diameter q mm.
wheel
nut
n
Position S
P
m
r
q
Section aa
Fig, 1
(a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear
force in the brace at position S due to the applied load P.
(b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress at
position S. Note that the shear force will not produce any shear stress at S.
(c) Calculate the maximum shearing stress in the brace at position S using the
Maximum Shear Stress Criterion.
2
Mechanics of Materials 2
Tutorials Portfolio: Exercise 5
(d) If the maximum permissible shear stress in the steel is 200 MPa, determine
the maximum torque that can be applied by the brace without the risk of
failure at S.
Calculate the first 5 Fourier series coefficients (A0-4 and B1-5 ) for the estimated R wave.
Chapter 8 Solutions
Control Systems Engineering
Ch. 8 - Prob. 1RQCh. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - What are two ways to find where the root locus...Ch. 8 - Prob. 7RQCh. 8 - Prob. 8RQCh. 8 - Prob. 9RQCh. 8 - How would you determine whether or not a root...
Ch. 8 - Prob. 11RQCh. 8 - Prob. 12RQCh. 8 - Prob. 13RQCh. 8 - Prob. 1PCh. 8 - Sketch the general shape of the root locus for...Ch. 8 - Prob. 3PCh. 8 - Let Gs=Ks+23s2s+6 in Figure P8.3. [Section: 8.5]...Ch. 8 - Let Gs=Ks+12s2+2s+2 with K0 in Figure P8.3....Ch. 8 - For the open-loop pole-zero plot shown in Figure...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Figure P8.5 shows open-loop poles and zeros. There...Ch. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Sketch the root locus and find the range of K for...Ch. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Given the root locus shown in Figure P8.7,...Ch. 8 - Prob. 19PCh. 8 - For the unity feedback system of Figure P8.3,...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - For the unity feedback system shown in Figure 8.3,...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 45PCh. 8 - Repeat Problem 3 but sketch your root loci for...Ch. 8 - Prob. 47PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 55PCh. 8 - Prob. 57PCh. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - Wind turbines, such as the one shown in Figure...Ch. 8 - Prob. 62PCh. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 70PCh. 8 - Prob. 72P
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