MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
10th Edition
ISBN: 9781119503941
Author: Callister
Publisher: WILEY
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Chapter 6, Problem 9QAP

a)

To determine

The elastic modulus of titanium using tensile test module of VMSE. Comparing values with table 6.1.

b)

To determine

The elastic modulus of tempered steel alloy using tensile test module of VMSE. Comparing values with table 6.1.

c)

To determine

The elastic modulus of aluminum using tensile test module of VMSE. Comparing values with table 6.1.

d)

To determine

The elastic modulus of carbon steel alloy using tensile test module of VMSE. Comparing values with table 6.1.

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a) In terms of n and p, how many state variables and how many inputs can you see in the system below? dx1 =-7x1 + x2 + 5u1 dt dx2 =-11x1+x3 + 2u1 dt dx3 = -8x16u1 dt b) Derive the state space representation for the above system c) Determine whether the system is stable or not.
Consider the three cases shown below, in which a soil column is subjected to different water heads (similar set-upDarby’s experiment in the reader). Using the tables provided, establish the pressure, elevation, and total heads ateach location, considering that the datum is:a) at the headwater, andb) at the tailwater.c) What was the effect of assuming a different datum on the i) pressure, ii) elevation, and iii) total heads?d) In the schematic for each case, draw an arrow indicating the direction of water flow inside the soil.e) What is the hydraulic gradient across the soil in each case?f) If the soil permeability and cross-sectional area of the cylinder remains constant across the different cases, whichone leads to the largest flow rate q? Which one has the lowest flow rate?g) What assumptions were necessary for you to answer these questions?
Question 2 (20 points) a) In terms of n and p, how many state variables and how many inputs can you see in the system below? dx1 dt =x1- 2x2 dx2 = 3x1 - 4x2 dt b) Derive the state space representation for the above system c) Determine whether the system is stable or not.
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