MSE 556-601
Test 2
Class part
ID:
1.
Show that as 0, the Halpin Tsai equation reduces to isostress condition
and as infinity, Halpin-Tsai equation reduces to isostrain condition.
See the class notes.
2.
Derive the Turners formula for the longitudinal ther
MSE 556
Final Examination
ID No:
Question 1 is compulsory. Answer any 3 questions out of the other 4. Make your
answers short. If you answer the fourth question, it will carry bonus points of 10. Formula
pages are allowed.
Compulsory question to answer:
Q
MSE 556
Final Examination
ID No:
Answer any 4 questions out of 5. Make your answers short. No more than 10 lines for
each part. All parts carry 12.5 points.
Q1. (a) Derive the Turners formula for thermal expansion coefficient of a composite (c)
in the fib
MSE 556-651
Final
ID Number:
Answer any four questions from the first five. Question 1 is compulsory and not attempting it
will mean loosing 25 points. Question 6 is a bonus which means you will earn additional points
if you attempt and solve.
Q1. Answer
MSE 556-601
Test 3
Class Part
ID No:
This part is close book and formulae pages from the resources section may be used.
Time: 2:30 hours
Q1. Halpin-Tsai equations are
P/Pm= (1+ Vf)/(1-Vf) with =(Pf/Pm-1)/(Pf/Pm+)
with subscript m for matrix and f for fibe
MSE 556
Final
ID: (No name)
Provide short answers. Answer any 5 questions from 6. Question 3 or 4 is
compulsory but not both. Formula pages from the course website are allowed.
Q1. (a) Draw the variation of axial stress in the fiber and the shear stress a
MSE 556-651
Test 3
Class Part
ID:
Q1. Draw the variation of axial stress in the fiber and the shear stress at the
interface when (a) l<lc, (b) l=lc, and (c) l>lc.
Q2. Show by means of a diagram, the definition of Vmin and Vcrit given the fiber
controlled
MAT 556
Test 3
ID NO:
1. (50 points)
(a) Derive an expression for the stress taken by the composite when the length of the
discontinuous fibers is greater than the critical length.
(b) Derive an expression for the fiber controlled strength of the composit
MSE 556-001
Test 3
Class part
ID:
Formula pages are allowed for the class tests
Q1. A symmetric laminate consists of a 3 ply lamina 45/0/45o. The Q matrix of the
zero degree ply in MPsi is given below. The thickness of each ply is 0.005 inches.
30
1
0
1
3
MSE 556-601
Test 3
Class Part
ID No:
This part is close book and formulae pages from the resources section may be used.
Time: 2:30 hours
Q1. Halpin-Tsai equations are
P/Pm= (1+ Vf)/(1-Vf) with =(Pf/Pm-1)/(Pf/Pm+)
with subscript m for matrix and f for fibe
MAT 556-601
Final Examination
ID No:
Provide answers with the test taken in the class. As a Take Home, answer all these questions
and provide them after one week.
Equations page provided with test 1 may be used to answer all the questions.
Answer any 4 qu
MSE 456 Test 3
Class Part
ID Number:
Time: One hour
Note: Credit for test 3 will be complete only if both class part and take part are
submitted.
Q1.
Write the equations connecting the stresses and strain in lamina with
unidirectional fibers. Show what is
Quiz #1
A lamina of thickness 2 inches is compressed by 0.02 inches. Determine the strain in the
materials coordinate system.
dUx=-0.02, dx=2, xx=-dUx/dx=-0.01, yy=dUy/dy=0, xy=0.5 xy=0
Tij for engineering strain
From off axis to material =
Coordinate axe
Test 1
MSE 556
ID:
The pages containing formulae are allowed.
In the following laminate loaded along the off-axis, calculate the strains. Given the
moduli in the material coordinate system to be
E11= 20 MPsi, E22=1.3 MPsi, G12=1.03 MPsi, 12=0.3
Calculate
Test 1
MSE 556
ID:
The pages containing formulae are allowed.
In the following laminate loaded along the off-axis, calculate the strains. Given the
moduli in the material coordinate system to be
E11= 20 MPsi, E22=1.3 MPsi, G12=1.03 MPsi, 12=0.3
Calculate
Q1. A lamina ABCD with fibers oriented at 30o has been stressed to give rise to the
following stresses in materials coordinate system.
11=0.012, 22=0.0021,and 12=0.00052, all in MPsi
If the moduli in material coordinate system are given by
E11= 20 MPsi, E
MSE 556
Test 2
ID No:
Complete the part I of the examination in the class. Complete part II of the examination
by taking it home and submit the answer after 2 weeks. Use of the Formulae pages is
allowed in part I of the examination.
Part I. (50 points)
Ti
MSE 556-601
Test 2
Class Part
ID No:
This part is close book and formulae pages from the resources section may be used.
Time: 2.5 hours
Q1. For a laminate with /- /- / ply arrangement with equal thickness of each
ply, determine which elements of the A, B
MAT 556
Final Examination
ID No:
Answer any 4 questions out of 5. Bonus question is optional and
addition to improve the scores. Formula pages are allowed.
1.
Given the following values in Mpsi, determine the Qb values of the
lamina with fibers oriented a
MSE 556
Class Part 2
ID:
Give short answers.
Q1. Derive Turners formula for thermal expansion coefficient of a composite.
See the class notes.
Q2. Show that volume fraction of voids Vv in a composite can be determined from
(1-Vv)/c = Mf/f +Mm/m
See the cl
MSE 556
Class Part 3
ID:
1. Explain the following terms in 2 lines
(a) Wake toughening
(b) Crack bridging
(c) Crack arrest
(d) Crack diversion
(e) Transformation induced toughening
2. Draw the stress-strain curve of a composite and identify the debonding
MSE 556-601
Test 1
Class part
ID number:
Formula pages from the course site are allowed to be used in this test. Time: 1 hour and 15
minutes.
Q1.
Figure 1
Determine the stress components in material coordinate system from the above figure 1. The
fibers ar
MSE 556-651
Final
ID: (No name)
Provide short answers. Answer any 5 questions from 6. Question 3 or 4 is
compulsory but not both. Formula pages from the course website are allowed.
Q1. (a) Draw the variation of axial stress in the fiber and the shear stre
MSE 556
Test 1
ID Number:
The formulae pages given in the course locker site and a calculator are allowed during the
examination. Time: 75 minutes
Q1. A square unidirectional composite with all dimensions shown in inches is deformed
to a final shape shown
MSE 556
Test 1
ID:
Formulae sheet provided by the instructor my be used.
A lamina of width 2 inches in the x-direction is compressed by 0.02 inches. Determine
the components of stress that need to be applied. The following values of stiffness are
provided
MAT 556
Final Examination
ID No:
Answer any 4 questions out of 5. Bonus question is optional.
1.Given the following values in Mpsi, determine the Qb values of the lamina with fibers
oriented at 45o Qb values for the lamina oriented at -45 o.
E11=30.3, E22
Test 1
MSE 556
ID:
The pages containing formulae are allowed.
Q1.
A lamina with fibers oriented at 45 degrees to X-axis is stressed to a magnitude of o as
shown in the figure below. The elastic moduli in the material coordinate axis are
E11=132,000 Psi, E
MSE 556-601
Test 2
ID No:
Formulae page from the course web site may be used.
Class part: Return the test with your answers. Keep a copy for your take home
examination.
1. Show that in the Halpin-Tsai equation
P/Pm= (1-Vf)/(1-Vf)
=0 corresponds to isostre
MSE 556
Test 2
ID#
Q. A lamina is subjected to loading condition described below. Determine the failure
stresses using the maximum stress theory and Tsai-Hill theory for =10 o and
=-10o. Write your conclusions from the results.
Given: X=X=150 Ksi, Y=4 Ks
MSE 556
Quiz #2
Describe two types of laminates for which the shear coupling ratio is zero. For
these two laminates, determine if extension-bending moment matrix vanishes or
not. Show the result by considering one element in the matrix.
Shear coupling rat