Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 55SEP
(a)
To determine
Design a Pb-Sn alloy with 50 solid and 50 liquid phase fraction at given temperature.
(b)
To determine
Refer Figure 8.12 and find the amount of each component should be used to produce 100g of the entire alloy.
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Students have asked these similar questions
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 8 Solutions
Foundations of Materials Science and Engineering
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Ch. 8.15 - Prob. 11KCPCh. 8.15 - Prob. 12KCPCh. 8.15 - Prob. 13KCPCh. 8.15 - Describe the mechanism that produces the...Ch. 8.15 - Can coring and surrounding occur in a...Ch. 8.15 - What is a monotectic invariant reaction? How is...Ch. 8.15 - Write equations for the following invariant...Ch. 8.15 - How are eutectic and eutectoid reactions similar?...Ch. 8.15 - Distinguish between (a) a terminal phase and (b)...Ch. 8.15 - Distinguish between (a) an intermediate phase and...Ch. 8.15 - What is the difference between a congruently...Ch. 8.15 - Consider an alloy containing 70 wt% Ni and 30 wt%...Ch. 8.15 - Consider the binary eutectic coppersilver phase...Ch. 8.15 - If 500 g of a 40 wt% Ag60 wt% Cu alloy is slowly...Ch. 8.15 - A lead-tin (PbSn) alloy consists of 60 wt%...Ch. 8.15 - A PbSn alloy (Fig. 8.12) contains 40 wt% and 60...Ch. 8.15 - An alloy of 30 wt% Pb70 wt% Sn is slowly cooled...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - Consider the binary peritectic iridiumosmium phase...Ch. 8.15 - In the copperlead (CuPb) system (Fig. 8.24) for an...Ch. 8.15 - For an alloy of Cu70 wt% Pb (Fig. 8.24), determine...Ch. 8.15 - What is the average composition (weight percent)...Ch. 8.15 - Consider an Fe4.2 wt% Ni alloy (Fig. 8.17) that is...Ch. 8.15 - Consider an Fe5.0 wt% Ni alloy (Fig. 8.17) that is...Ch. 8.15 - Determine the weight percent and composition in...Ch. 8.15 - Determine the composition in weight percent of the...Ch. 8.15 - Draw, schematically, the liquidus and the solidus...Ch. 8.15 - Consider the CuZn phase diagram of Figure 8.26. a....Ch. 8.15 - Consider the nickelvanadium phase diagram of...Ch. 8.15 - Consider the titaniumaluminum phase diagram of...Ch. 8.15 - What is the composition of point y in Figure...Ch. 8.15 - In Figure 8.12, determine the degree of freedom,...Ch. 8.15 - The cooling curve of an unknown metal shows a...Ch. 8.15 - In the PbSn phase diagram (Fig. 8.12), answer the...Ch. 8.15 - Based on the CuAg phase diagram in Figure P8.23,...Ch. 8.15 - Based on the PdAg phase diagram in Figure EP 8.3,...Ch. 8.15 - Prob. 49SEPCh. 8.15 - Derive the lever rule for the amount in weight...Ch. 8.15 - Based on the AlNi phase diagram given in Figure...Ch. 8.15 - Prob. 52SEPCh. 8.15 - Based on the Al2O3SiO2 phase diagram in Figure...Ch. 8.15 - (a) Design a CuNi alloy that will be completely...Ch. 8.15 - Prob. 55SEPCh. 8.15 - Given that Pb and Sn have similar tensile...Ch. 8.15 - Consider the sugarwater phase diagram shown in...Ch. 8.15 - In Figure P8.57, if 60 g of water and 140 g of...Ch. 8.15 - In Figure P8.57, if 30 g of water and 170 g of...Ch. 8.15 - At 80C, if the wt% of sugar is 80%, (a) what...Ch. 8.15 - (a) Based on the phase diagram in Figure P8.61,...Ch. 8.15 - Referring to Figure P8.61. explain what happens as...Ch. 8.15 - Referring to Figure P8.61, (a) explain what...Ch. 8.15 - Using Figure P8.40, explain what the phase diagram...Ch. 8.15 - Using Figure P8.40. explain why, according to the...Ch. 8.15 - (a) In the TiAl phase diagram. Figure P8.42, what...Ch. 8.15 - Draw an approximate hypothetical phase diagram for...Ch. 8.15 - Draw the hypothetical phase diagram for a binary...
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