Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 2.9, Problem 69SEP
To determine
Which isotope of potassium has the highest abundance?
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
Chapter 2 Solutions
Foundations of Materials Science and Engineering
Ch. 2.9 - Prob. 1KCPCh. 2.9 - Prob. 2KCPCh. 2.9 - How was the existence of electrons first verified?...Ch. 2.9 - How was the existence of protons first verified?...Ch. 2.9 - What are the similarities and differences among...Ch. 2.9 - Prob. 6KCPCh. 2.9 - Prob. 7KCPCh. 2.9 - Prob. 8KCPCh. 2.9 - Explain the law of chemical periodicity.Ch. 2.9 - Prob. 10KCP
Ch. 2.9 - Prob. 11KCPCh. 2.9 - Prob. 12KCPCh. 2.9 - Prob. 13KCPCh. 2.9 - Prob. 14KCPCh. 2.9 - Prob. 15KCPCh. 2.9 - Prob. 16KCPCh. 2.9 - Prob. 17KCPCh. 2.9 - Describe the terms (a) metallic radius. (b)...Ch. 2.9 - Prob. 19KCPCh. 2.9 - Prob. 20KCPCh. 2.9 - Prob. 21KCPCh. 2.9 - Prob. 22KCPCh. 2.9 - Prob. 23KCPCh. 2.9 - Prob. 24KCPCh. 2.9 - Describe the properties (electrical, mechanical,...Ch. 2.9 - Prob. 26KCPCh. 2.9 - Prob. 27KCPCh. 2.9 - Prob. 28KCPCh. 2.9 - The diameter of a soccer ball is approximately...Ch. 2.9 - Each quarter produced by the U.S. mint is made up...Ch. 2.9 - Sterling silver contains 92.5 wt% silver and 7.5...Ch. 2.9 - Prob. 32AAPCh. 2.9 - Prob. 33AAPCh. 2.9 - Prob. 34AAPCh. 2.9 - Prob. 35AAPCh. 2.9 - Prob. 36AAPCh. 2.9 - Prob. 37AAPCh. 2.9 - Prob. 38AAPCh. 2.9 - Prob. 39AAPCh. 2.9 - Prob. 40AAPCh. 2.9 - Prob. 41AAPCh. 2.9 - Prob. 42AAPCh. 2.9 - Prob. 43AAPCh. 2.9 - Prob. 44AAPCh. 2.9 - Prob. 45AAPCh. 2.9 - Prob. 46AAPCh. 2.9 - Prob. 47AAPCh. 2.9 - Prob. 48AAPCh. 2.9 - Prob. 49AAPCh. 2.9 - Prob. 50AAPCh. 2.9 - Write the electron configurations of the following...Ch. 2.9 - Prob. 52AAPCh. 2.9 - Prob. 53AAPCh. 2.9 - Prob. 54AAPCh. 2.9 - Prob. 55AAPCh. 2.9 - Prob. 56AAPCh. 2.9 - Prob. 57AAPCh. 2.9 - Prob. 58AAPCh. 2.9 - Prob. 59AAPCh. 2.9 - Prob. 60AAPCh. 2.9 - Prob. 61AAPCh. 2.9 - Prob. 62AAPCh. 2.9 - Prob. 63AAPCh. 2.9 - For each bond in the following series of bonds,...Ch. 2.9 - Prob. 65AAPCh. 2.9 - Prob. 66AAPCh. 2.9 - Prob. 67AAPCh. 2.9 - Prob. 68AAPCh. 2.9 - Prob. 69SEPCh. 2.9 - Most modern scanning electron microscopes (SEMs)...Ch. 2.9 - Prob. 71SEPCh. 2.9 - Of the noble gases Ne, Ar, Kr, and Xe, which...Ch. 2.9 - Prob. 73SEPCh. 2.9 - Prob. 74SEPCh. 2.9 - Prob. 75SEPCh. 2.9 - Prob. 76SEPCh. 2.9 - Prob. 77SEPCh. 2.9 - Prob. 78SEPCh. 2.9 - Prob. 79SEPCh. 2.9 - Prob. 80SEPCh. 2.9 - Silicon is extensively used in the manufacture of...Ch. 2.9 - Prob. 82SEPCh. 2.9 - Prob. 83SEPCh. 2.9 - Prob. 84SEPCh. 2.9 - Prob. 85SEPCh. 2.9 - Prob. 86SEPCh. 2.9 - Prob. 87SEPCh. 2.9 - Prob. 88SEPCh. 2.9 - Prob. 89SEPCh. 2.9 - Prob. 90SEPCh. 2.9 - Prob. 91SEPCh. 2.9 - Prob. 92SEP
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