Homework 1 Solutions
Problem 1
1) Differentiate:
Set to 0
Equate
2) Solve for r
(
)
( )
(1)
3) Plug equation for ro back into EN to solve for Eo
(
)
(
)
(
)
(
)
For the final part we are given:
ro=0.28 nm
Eo=-8.13 eV
n=10
So we do not know A or B, but we
MSE 220
Homework 4 Solutions
Fall 2014
Problem 1
The problem gives the surface crack dimensions and applied stress resulting in fracture, so we
can approach the problem using equation 8.1 to find the maximum stress at the tip of the crack:
max = 2applied
MSE 220
Homework 2 Solutions
Fall 2014
Problem 1
(a)
This problem is solved using the equation:
= exp
Atomic density :
(7.65 g/cm )(6.022 10 atom/mol)
=
=
= 8.25 10 atom/cm
(55.85 g/mol)
All other quantities are known or given:
Activation energy for v
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing
Solution set
Homework 4, Due Thursday, February 5th, 2015 in discussion section.
1.) Calculate the fraction of atom sites that are vacant for lead at its meltin
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing
Homework 5, Due Monday, February 16th, 2015 in class
1.) A cylinder of titanium (E = 107GPa) with an original diameter, d= 4 mm is constructed
such that it only
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing
Homework 7, Due Monday, March 16th, 2015 in class
Solution set
1.) Find a copper/nickel phase diagram (there are versions in both books and you can
find it onli
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing
Homework 8, Due Friday, March 20th, 2015 in class
1.) A 35 wt% aqueous/NaCl solution with the following phase diagram below is cooled,
and shows NaCl-2H2O a sal
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing Solutions
Homework 10, Due Monday, April 13th, 2015 in class
1.) For a glass fiber (E= 72.5 GPa, tensile strength = 3.45 GPa) filled epoxy matrix
composite, the
Material Science and Engineering 220 (Winter 2015)
Introduction to Materials and Manufacturing
Homework 9, Due Monday, April 6th, 2015 in class
1.) Problem 14.3 from Callister 4th ed., List 4 instances where casting is preferred.
Solution: One reason is w