ME180 Arizona Christian University Mechanical Properties of Material Problems Solutions are provided. Use my last name please as asked in the instructions

ME180 Arizona Christian University Mechanical Properties of Material Problems Solutions are provided. Use my last name please as asked in the instructions (Alshaya).

Please let me know if you need anything else.

All files needed are attached.

Thank you Homework Assignment Instructions
Homework assignments submitted for grading are to be solved using MATLAB
computational software. Solve all problems in a given assignment in one script
file. You can generate your code using the Editor (m-file) or using the Live Editor (mlxfile live script). When complete, publish the file to a PDF document (see below for
general instructions on publishing your code to a PDF file). Be sure to use plenty of
comments in your work. This is for your benefit as well as the grader’s benefit. Plots
should be correctly formatted with a plot title and axes titles, with correct
units (always). Your published file should show all of the results (answers) neatly
organized and labeled with proper units (always). It is best to use the fprintf function
for this. For submission, upload your published PDF file. ALWAYS include your last
name in the file name. For example, for homework #1, my file to be uploaded would
have the filename “Homen_ME180_HwkAssgt01.pdf”. Follow this general format.
To publish your code from MATLAB, follow these general instructions:
Publishing an m-file from the EDITOR:
1. Click on the “PUBLISH” tab next to the “EDITOR” tab at the top of the MATLAB IDE.
2. Click on the pull down menu on the “Publish” Icon (should be the right-most icon on
the tool bar at the top of the IDE under the tabs).
3. In the pull down menu, select “Edit Publishing Options…”. The “Edit Configurations”
window will open.
4. In the “Output settings” area, click on the file type shown in the “Output file format”
field (the default is html–if you’ve never changed this, it should show as such). A
pull down menu appears from which you can choose the output file type.
5. Choose “pdf” to change the file type in the Output file format field to pdf.
6. In the “Output folder” field (just below the “Output file format” field), the filepath to
the folder where MATLAB will put your published pdf file by default is shown. The
filepath shown is to your working folder, but notice that MATLAB shows it will create
a NEW folder called “html” at the end of the filepath (notice the addition of “html” in
the filepath). You can publish your file and have MATLAB create that new folder to
place it in if you wish. I, personally, like to have all of my published files in the same
folder as my MATLAB files–the working folder. To do this, select and delete the
additional “html” in the default filepath. Now the filepath is to your working folder.
7. Click the “Publish” button at the bottom of the “Edit Configurations” window to
publish your document.
Note: if you are “re-publishing” the same m-file, MATLAB does not overwrite the existing
PDF file in your output folder (I don’t think it will even publish). You must delete the
existing published PDF file first (easiest to right click on the pdf file in your working
folder area in your MATLAB IDE, then choose “Delete” from the pull down menu). Then
simply publish your m-file again.
You can, if you so desire, save the specified output file format and output folder to a
default setting of your choice. You’ll find the two buttons to do that just above the
“Output settings” area in the “Edit Configurations” window.
If you want your published PDF file to be formatted properly with a Table of Contents,
and the text/comments at the top of each problem section to look different from the
comments embedded in your code, pay attention to how you are “sectioning” and
“titling” your m-file. Whatever you put at the very top of your m-file following a double
percent “%%” AND a space will output as the giant, Bolded Title of your published
document. Just below that first line, begin with a single percent “%” AND a space, and
those comments will be formatted into a subtitle/single paragraph in black text. Begin
each problem with “%%” AND a space to split your m-file into sections. The first line in
each section will become a formatted Bolded title for that problem in the published PDF
file. MATLAB will also create a “Table of Contents” showing page numbers for each
“section” (or problem) to show at the beginning of your published PDF file just below the
main title of the document and the subtitle (I usually put my name in the subtitle). The
resulting published PDF file should be a nicely formatted, well-organized document.
Publishing an mlx-file from the Live Editor:
If you are working in the Live Editor with an mlx-file, to publish, simply click on the pull
down arrow on the “Save” button in the “File” area of the toolbar, and select “Export to
PDF…” from the pull down menu. You can choose where to save that file as you
normally would using the “Save as…” function. Note that the Live Editor “pre-formats”
your script file and it will publish it as it appears in the Live Editor. Very cool.
ME180 Mechanical Properties of Materials
CSUS Department of Mechanical Engineering
Instructor: Homen
pathomen@csus.edu
Homework Assignment 1
Tensile Test Properties of Metals
Problem 1 Solution
You are given one-half of a fractured brass tensile test piece (figure below) and told that the initial
diameter was 12 mm and the maximum load was 36 kN. Calculate the strength coefficient, H, in the
power relation ????? = ????????? ???? .
di = 12 mm; du = 10.5 mm; df = 9 mm; Pmax = 36 kN.
Determine: n, H, ?u, Pf:
Assume power relation is valid to fracture—Bridgman correction NOT necessary:
Tensile Strength, ?u:
True Tensile Strength:
True strain at ultimate:
Strength coefficient:
Load at Fracture:
Substitute:
Solve:
???????? =
????????? =
????????
36,000 N
= ????
= 318.31 MPa
????????
(12 mm)2
4
????????
36,000 N
= ????
= 415.75 MPa
????????
(10.5 mm)2
4
????????
12 mm
????????? = 2???????? ? ? = 2???????? ?
? = 0.267 = ????
????????
10.5 mm
???? =
???????? = ????????? ???????? ;
????????? 415.75 MPa
=
= 591.5 MPa
?????????????
0.2670.267
????????? = ????????????????? ;
???????? =
???????? = (????) ?2????????
???????? = (591.5 MPa) ?2????????
????
???? 2
???? ;
4 ????
????????
????
? ? ????????2 ?
????????
4
????????? = 2????????
????????
????????
12 mm 0.267 ????
?
? (9 mm)2 ? = 32,466 N
9 mm
4
???????? = 32.5 kN
ME180 Homework Assignment
1-Tensile Test Properties
Patrick Homen
Problem 1
You are given one half of a fractured brass tensile test piece
(figure below) and told that the initial diameter was 12 mm and
the maximum load was 36 kN. Calculate the strength coefficient,
H, in the power relation SigTru = H*EpsTru^n. Also, determine
the load at fracture. From the given figure du = 10.5 mm
(diam at ultimate), df = 9mm (diam at fracture).
clc
clear
%
%
%
%
%
%
%
%
Define variables:
d=diameter at time of load
di=initial diameter; du=diam at ultimate; df=diam at fracture
A=area at time of load; Ai=initial area; Au=area ult; Af=area fract
Sig=engineering stress; Eps=engineering strain
SigTru=true stress; EpsTru=true strain; H=strength coefficient;
n=strain hardening exponent
P=load
% Values given:
di = 12;
% mm
du = 10.5; % mm
df = 9;
% mm
Pmax = 36000; % N
% Calculate areas:
Ai = di^2*pi/4; % mm^2
Au = du^2*pi/4; % mm^2
Af = df^2*pi/4; % mm^2
% Calculate true stress at ultimate for power relation:
% SigTruu=Pmax/Au
SigTruu = Pmax/Au; % N/mm^2 = MPa
% Calculate true strain at ultimate for power relation:
% EpsTruu = 2* ln(di/du)
EpsTruu= 2*log(di/du);
% Calculate n: n=true strain at ultimate=EpsTruu
n=EpsTruu;
% Calculate H from power relation (algebra solve for H)
% H = SigTruu/EpsTruu^n
H = SigTruu/EpsTruu^n; % MPa
% Report H
fprintf(‘The strength coefficient, H = %5.2f MPan’,H);
% Also, find the load at fracture, Pf
% Know: Pf=SigTruf*Af; SigTruf=H*EpsTruf^n; Af=(pi/4)*(df^2)
%
EpsTruf = 2* ln(di/df)
1
ME180 Homework Assignment 1-Tensile Test Properties
% Algebra: Pf=H*(2*(ln(di/df)^n))*((pi/4)*(df^2))
% Solve:
Pf = H*((2*(log(di/df)))^n)*((pi/4)*(df^2)); % Load in Newtons
PfkN = Pf/1000;
% Report load at fracture:
fprintf(‘The load at fracture, Pf = %5.2f Newtons = %4.2f kN
n’,Pf,PfkN);
The strength coefficient, H = 591.51 MPa
The load at fracture, Pf = 32466.00 Newtons = 32.47 kN
Published with MATLAB® R2019b
2
7/13/2020
Homework Assignment 01: Tensile Test Properties
Homework Assignment 01: Tensile Test Properties
Submit Assignment
Due Tuesday by 11pm
Points 40
File Types m, mlx, and pdf
Submitting a file upload
Homework Assignment 1
Tensile Test Properties of Metals
Solve the following four problems using MATLAB. For each problem, use the approximate power
relation and assume it is valid to the point of fracture (no Bridgman correction necessary).
1. You are given one half of a fractured brass tensile test piece (figure below) and told that the initial
diameter was 12 mm and the maximum load was 36 kN. In the power relation:
Calculate the strength coefficient, H, and determine the load at fracture, Pf.
2. A tensile test of a metal was run in the laboratory, but only the maximum load was measured during
the test (max load = 59 kN). All other data were taken before and after the test as follows:
Initial diameter:
13.0 mm
Minimum diameter after test (at point of fracture):
10.0 mm
Maximum diameter after test (away from fracture):
11.6 mm
Calculate:
a. The strain hardening exponent, n, in the power relation:
b. The load on the specimen at the instant just prior to fracture, Pf.
3. The following data were obtained in a tensile test of naval brass:
Condition
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Homework Assignment 01: Tensile Test Properties
0
Load, kN
Diameter, mm
0
12.8
1
50.7
11.9
Fracture
48.0
8.5
Condition 1 as measured was not the maximum load condition. Calculate the tensile strength of
this brass.
4. A low-carbon steel was found to follow the relation:
If the initial diameter was 12.8 mm and the diameter at fracture was 9.27 mm, calculate the
maximum tensile load (kN) that was reached during the tensile test of this steel.
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