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CIVE 2261: Materials Lab Lab Report Grading Rubric CIVE 2261: Lab Report Grading Rubric Following is the grade table appearing on the lab report cover sheet: Grading: Component of Report Points Score...

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CIVE 2261: Materials Lab Lab Report Grading Ru
ic
CIVE 2261: Lab Report Grading Ru
ic
Following is the grade table appearing on the lab report cover sheet:
Grading:
Component of Report Points Score
Abstract 10
Introduction & Theory/Procedure/Methods 15
Results
Reasonable; analysis & discussion 20
Graphics and sample calculations 20
Reflection/Questions 20
Conclusion 10
Appendices 5
100
Grading Ru
ic:
Following is a detailed ru
ic indicating the
eakdown of points for each component of the lab
eport. All lab reports must be typed/computer generated. Handwritten work will not be
accepted. Documents should be well formatted. Format items to consider include fonts (heading
vs. body text), spacing (line, paragraph), text justification, and page numbering.
Abstract (10 pts total)
The abstract is a short summary of the report, consisting of a paragraph of about 8 to 10 lines of
text.
The abstract should include the following:
 The importance of the laboratory test/experiment. (2 pts)
 The purpose of the report. (4 pts)
o A declarative statement which summarizes the specific topic and goals of the
eport. Should be specific and precise, not general,
oad or obscure. Should be
concise (one or two sentences), clear and goal oriented (stated in terms of
desired outcomes).
 The scope of the report. (2 pts)
CIVE 2261: Materials Lab Lab Report Grading Ru
ic
o A description of what you are going to describe/address in the report, and a
ief
summary of key components of the report. If there is a major issue that your
eport will not be addressing, that should be stated here with a reason why.
 Key findings from the laboratory test. (2 pts)
Introduction & Theory/Procedure/Methods (15 pts total)
The introduction is the opening section of the body of the lab report. The introduction should
include the following:
 Objectives of the lab. (4 pts)
o If applicable,
iefly explain the theory/principles used in the lab test here.
 Description of test procedures. (8 pts total)
o Mention
eference the relevant test standard (e.g., ASTM C143 for concrete
slump) (2 pts)
o Summarize the procedure you followed in
ief, using your own words. Inform the
eader about the key apparatus used (you may include a picture here to help
explain!) (6 pts)
 Discussion of expected results of the lab test. (3 pts)
Results/Analysis/Discussion (40 pts total)
The primary section of the lab report, where the results are communicating effectively using
words, tables, figures, images, etc. The results/analysis/discussion should include the following:
 The lab test results, analysis and discussion. (20 pts total)
o Results make sense and are reasonable. (5 pts)
o Analysis and discussion addresses the meaning of the results, comparing actual
esults with expected results. Refer to the course textbook, lecture notes, and/or
lab manual as appropriate. (15 pts)
 Graphics and sample calculations to present the results effectively. (20 pts total)
o Tables and figures have a number and a meaningful name (table captions are
placed above tables, figure captions are placed below figures).
o All equations are numbered.
o All plots have axis labels.
o Tables and figures are appropriately sized and legible.
o Fonts are consistent between writing/text, tables and figures.
o Sample calculations shown for each equation/formula used.
Reflection/Questions (20 pts total)
In these sections of the lab report, you critically evaluate the lab and your results, and respond
to questions posed in the lab manual. The reflection/questions should include the following:
 Reflection. (5 pts)
o Critically evaluate your results, pointing out and discussing possible sources of
e
or. Describe your thoughts about what you learned or how the lab relates to
CIVE 2261: Materials Lab Lab Report Grading Ru
ic
the materials class. You may also include personal conclusion or thoughts here,
ut be specific to your group, do not speak in generalities. You may also offer
ecommendations for improving the lab test, or lab organization here.
 Questions. (15 pts)
o Rewrite the questions posed in the lab manual, and then respond to them.
o Answer the questions completely and clearly. Use text, equations, tables or
figures as appropriate, following the same criteria as described for the
Results/Analysis/Discussion.
Conclusion (10 pts total)
The conclusion is the closing section of the body of the lab report, and should summarize the
eport and the key findings.
 Brief summary. (5 pts)
 Highlight key findings. (5 pts)
Appendices (5 pts)

CIVE 2261: Materials Lab Lab Report Cover Sheet
CIVE 2261: Lab Report Cover Sheet
Lab Day & Time: _________________________________________
Lab Group No.: __________________________________________
Group Member Names & Contribution:
Member Name Contribution/Section(s)
1
2
3
4
Instructions:
1. Fill out the lab day and time and lab group number at the top of the submission cover sheet.
2. Enter all group members’ names in the contribution table.
3. Enter each group member’s contribution in the contribution table (e.g., Results and
Discussion, Abstract and Introduction).
4. Attach this cover sheet to your lab report for submission.
Grading:
Component of Report Points Score
Abstract 10
Introduction & Theory/Procedure/Methods 15
Results
Reasonable; analysis & discussion 20
Graphics and sample calculations 20
Reflection/Questions 20
Conclusion 10
Appendices 5
100


CIVE 2261

Materials for the Built Environment
Laboratory Manual
Revised 2019
Revised by Prof. C. M. Shillaber
Department of Civil and Environmental Engineering
College of Engineering, Northeastern University








Companion Labs to CIVE 2261: Materials for the Built Environment




Copyright © 2019 Department of Civil and Environmental Engineering






For edits, questions, comments, contact:

Craig M. Shillaber, Ph.D.
Assistant Teaching Professor
Department of Civil and Environmental Engineering
College of Engineering
Northeastern University
400 Snell Engineering Center
360 Huntington Avenue
Boston, MA 02115
XXXXXXXXXX
XXXXXXXXXX


Acknowledgements:

J. Hajjar
T. Sheahan
S. Cranford
K. Schulte-Graham
C. Venegas-Martinez
M. MacNeil


ADMET, Inc.
Rich Gedney
mailto: XXXXXXXXXX
CIVE 2261 Lab Manual

i | F r o n t M a t t e r

Preface

“In the spirit of science, there really is no such thing as a 'failed experiment.' Any test that yields
valid data is a valid test.”
Adam Savage, Mythbuster

Intended Laboratory Manual Use
This laboratory manual is intended to be used across one semester in the course CIVE 2261: Lab for CIVE
2260 offered by the Department of Civil and Environmental Engineering at Northeastern University in
Boston, Massachusetts. This course is intended to be taken concu
ently with CIVE 2260: Materials for
the Built Environment. The laboratory exercises provide hands-on, experiential understanding to
complement the theory and concepts discussed in CIVE 2260.
Details neglected herein are assumed to be presented either in class or in lab via lecture.
Note also that the labs listed herein are subject to revision at the behest of the instructo
professor.
Laboratory Overview
In this class, you will be introduced to standard laboratory procedures for materials testing, data reduction
and data analysis methods.
This manual is comprised of five laboratories; however, the instructo
professor may adjust this number.
Laboratory methods and determinations covered in this manual include: uniaxial tension, concrete mixing
and testing, fracture analysis, and flaw tolerance. The operation and use of computer-based test control
and data acquisition systems are also covered.
Each lab will consist of a short lecture/introduction, conducting a lab test (or tests), and clean-up. The labs
should be readily completed within the allotted time period.
Cu
ently, the labs are designed for group work and group lab reports. Confirm with your
instructo
professor.
By participating in this laboratory and completing the assignments, you will gain experience preparing
laboratory reports using effective technical writing skills, including graphic presentation of data.
Laboratory Objectives
The primary objectives of the Materials for the Built Environment Laboratory are as follows:
1. Apply accepted standards (i.e., ASTM Standards) related to laboratory testing of materials to
determine mechanical properties.
2. Demonstrate knowledge of the basic principles of stress and strain and how they relate to test
esults and overall material performance.
3. Explain different failure modes (e.g.,
ittle vs. ductile, fracture), flaw tolerance and material
toughness.
CIVE 2261 Lab Manual

ii | F r o n t M a t t e r

4. Explain how to design concrete mixes for particular applications, including the effect of water
content.
5. Explain how to mix concrete and prepare specimens for strength testing.
6. Write effective technical reports to communicate the results of their laboratory testing,
including preparing effective graphics.
CIVE 2261 Lab Manual

iii | F r o n t M a t t e r

Table of Contents

Preface .........................................................................................................................
Answered 1 days After Feb 05, 2022

Solution

Sonam answered on Feb 07 2022
113 Votes
CIVE 2261: Materials Lab                          Lab Report Cover Sheet
CIVE 2261: Lab Report Cover Sheet
Lab Day & Time: Friday 2pm
Lab Group No.:
Group Member Names & Contribution:
    Member
    Name
    Contribution/Section(s)
    1
    Naomi Newman
    Abstract/ Conclusion
    2
    Franco Gorostiaga
    Intro/ Theory
    3
    Patrick Almeida
    Results/Procedure
    4
    
    Reflection/ Questions
Grading:
    Component of Report
    Points
    Score
    Abstract
    10
    
    Introduction & Theory/Procedure/Methods
    15
    
    Results
    Reasonable; analysis & discussion
    20
    
    
    Graphics and sample calculations
    20
    
    Reflection/Questions
    20
    
    Conclusion
    10
    
    Appendices
    5
    
    
    100
    
CIVE 2261 - Materials Laboratory
Spring - 2022
Professor Craig Shillaber
Lab Experiment #1
Uniaxial Tension Testing
Abstract
Tension testing gives insight into the strength and ductility of a material under uniaxial tensile stresses. During a uniaxial tension test the material is put under increasing states of stress until failure. The results from this test provide data to determine the materials properties, such as the Young’s modulus, yield stress, ultimate strength, and toughness. This information is used to determine whether the material experienced a
ittle or ductile failure. To test steel, aluminum, and PVC their behaviors are observed through a destructive test. A destructive test is performed using the ADMET UTS, where each material is loaded in tension and stretched until failure. This test provides the information necessary to determine the properties of steel, aluminum, and PVC and compare their differences and similarities.
Submitted by:
Experiment competed: January 28, 2022
Introduction
When a piece of concrete or steel supports a structure it is never at a calm state. A pillar or beam is designed to withstand various types and intensity of loads. For example, a storm windstorm can push a building sideways causing a horizontal push. On the contrary, 10-15 people in an apartment plus furniture, apply a vertical force on the structure.
As these different types of forces are exerted on a material, they obviously react to it. Materials can either be in tension or contraction. However, every material responds to stimuli differently. This is the reason why the Uniaxial Tension Testing experiment was conducted. The goal of the activity is to determine the different strength levels and ductility of these 3 materials by comparing the points at which they fail upon tension. With a tension machine students applied vertical tension on three materials: aluminum, steel, and polyvinyl chloride (PVC).
The machine used to test the materials indicates the force applied it applies and the distance it stretches out. In addition, it also plots a strain-stress curve that suggests the exact moment the specimen starts to lose its ideal shape and composition. Following the tests, students were able to analyze each material’s maximum elongation (ultimate strain), yield strength, and maximum strength (). Consequently, students will have the necessary data to also dive into Young’s modulus (E) and Poisson’s ratio (ν).
Relevant Terminology:
Yield Point: The stress at which an increase in strain occurs without an increase in
stress
Maximum strength (): The highest point in the strain-stress curve, indicating the maximum level of stress on a material.
Plastic Deformation: Deformation in a material that stays permanently.
Rupture or Fracture Strength: The stress when maximum strain is attained; not necessarily peak stress
Strain (ε): “intensity” of deformation of the material expressed as Length/Length.
Theory
1) Stress and Strain.
To understand what these 3 specimens are going through, it is vital that one understands stress (σ), strain (ε), and what determines their value. Stress is measured in pounds per square inch (psi) or megapascals (MPa). It is the force applied to a material divided by its initial area:
. (1)
If stress is a force applied over the area of a specimen, it makes sense to compare it to strain. Strain indicates the deformation or displacement of material caused from stress applied. Intuitively, it is calculated by adding the initial length () to how much it stretched () after undergoing stress:
. (2)
Strain is unitless, or in other words it’s inches/inches.
2) Young’s Modulus
Elastic materials are able to return to their original dimensions after being stretched with a tension machine. This means that the behavior of this type of material is shown linearly in the stress-strain graph. One needs to analyze the linear part of the graph to work with Young's Modulus. Therefore, Hooke’s Law combines the stress and strain relationship to define stress as:
. (3)
E is the Young’s Modulus which is defined as:
. (4)
3) Yield Stress
Yield stress is when a specimen starts to experience plastic strain. In other words, when a material reaches yield stress, the material loses capacity and it’s on its way to
eakage. By this point plastic strain shows how a material remains deformated even after all forces are removed.
In a graph this is where the line starts to travel horizontally rather than linearly. Therefore, one can pinpoint this point mathematically by calculating where the tangent value is near zero at a horizontal slope.
However, there is also the case when the yield point is not clearly seen. With the offset method one should estimate where some small amount of plastic deformation has definitely started to occur. On the following graph one can see how the yield strength is seen by comparing the curve to the initial modulus and offset it to the right.
To derive the equation for the offset method one must recall equation 3, such that,
. (5)
The slope or modulus, E is multiplied by the addition of strain, and the offset, s.
4) Resilience / Toughness
The resilience and toughness of a specimen are determined by calculating the area under the stress-strain curve. With the rectangle method one is able to draw several rectangles along the curve, calculate the area of them, and take the sum.
. (6)
For the calculation to be accurate one must draw the smallest possible rectangles so that the step size, , is close to zero and all space under the curve is covered.
Procedure
To conduct the experiment, students used a set of materials. To start, there were three cylindrical rods provided: 1 aluminum, 1 steel, and 1 polyvinyl chloride. A Tension machine (ADMET UTS), was used to apply a controlled force with recorded distance to the specimen until failure. The digital calipers measured the length and diameter of the specimens, and the digital scale the their weight. Finally, students used their own cell phone cameras to capture images of the specimens after failure.
The procedure followed was in the following order:
1) Place the cylindrical rods in the tension machine and adjust the grip on both ends.
2) Measure and record the length and diameter of the exposed part of the specimen to see the span where the material would fail.
3) Set the test settings to a displacement rate of 1 inch/minute and record it.
4) Now activate the machine’s tension.
5) Prepare a camera to take pictures before, during and after force is applied.
6) Observe the force-deformation curve pictured in the computer.
7) Once the material fails, remove it from the grips and analyze the deformation and its fracture.
8) Send the force-displacement files to student’s personal emails that were recorded by the testing machine.
9) Repeat 1-8 for the other two specimens.
10) Ca
y out the analysis in the CIVE 2261 Laboratory Manual and complete the lab report.
Results/ Analysis/ Discussion
1 for plastic material
2 for metallic material
Reflection
1. elastic materials reach relatively high strains. This is due to the large amount of elongation that occurs in the plastic region whereas metallic have an area at the vield point where stress does not increase continuously as strain increases.
2. Plastic material has the ability to abso
the most energy without permanent deformation because resilience is the total strain energy stored in a given volume of a material within elastic limit. On removal of load this energy is released. In other words, it is the area under load-deflection curve within elastic limit.
4. Strain hardening is the region that starts as the strain goes beyond yield point, and ends at the ultimate strength point, which is the maximal stress in the stress-strain curve. In this region, the stress mainly increases as material elongates, except that there is a nearly flat region at the beginning. The metallic material plot exhibit strain hardening.
5., the stress-strain curves generated conform to the expected profile and mechanics of metals: an initial regime of linear elastic behavior followed by plastic deformation.
Reflection Questions
1.The stress here is defined as the applied force over the original specimen area. This is commonly known as the “engineering stress”. How does the engineering stress differ from the “true stress” experienced by the specimen? How would it change your results, if at all?
A1 True stress is defined as the applied force over the actual area of specimens. When the specimens are under the action of load, cross sectional area keeps increasing or decreasing depending upon compressive or tensile stress applied. Therefore, it would change the results as true area is taken into account while calculating true stress. It varies inversely with the actual area. Hence if the area goes on decreasing, true stress would increase above engineering stress and vice versa if the area goes in increasing.
2. The ADMET machines we use in the lab are displacement-controlled; that is, they stretch the material with a known displacement rate (such as 0.1 inches/minute) and the load is measured. Uniaxial tension tests can also be force-controlled; that is, stretching a material with a known loading rate (such as 100 lbs/minute). If the tests were force-controlled, would the results be the same? Why or why not?
A2 In general, one can say results will be different. There is a catch & it depends on material & how one performing these tests.
As we increase stress (Force) at a certain rate, one will get plot only up plastic point for some material. Reason is simple, as after A point, you are increasing stress & calculating strain. Basically Stress (Force) controlled test does not depict strain softening behaving i.e; behavior where stress is decreasing with increases in strain. As you are to creating stress with a constant sate are but one should decrease. However. If any material does not show strain-softening behaviors. Plots will be same in both cases.
3. Uniaxial tensile tests are most commonly performed for isotropic materials. Why?
A3. In Isotropic materials, the properties of the materials are same in every direction. Therefore, by testing the materials in one direction (uniaxial tensile test), one can very well obtain the mechanical characteristics of the materials.
Conclusion
our data generated stress-strain profiles that reflect their theoretical properties, exhibiting distinct regimes of elastic and plastic behavior. Their linear elastic slopes are distinct, but the overall material behaviors are comparable: the values of E are all roughly the same order of magnitude, mechanical properties are most evident in the plastic regimes of the stress-strain plots, where properties including toughness, ultimate tensile strength (UTS), and fracture stress and strain are determined.
AxialStrain (mm/mm)    0    1.2500002048909599E-3    1.1250000447034799E-2    2.1749999374151199E-2    3.1749999150633798E-2    4.1750000789761502E-2    5.17499987035989E-2    6.1749996617436402E-2    7.1750001981854397E-2    8.1749999895691802E-2    9.1749997809529305E-2    0.101250002160668    0.111750001087784    0.12174999900162201    0.13174999691545899    0.14124999381601799    0.151249999180436    0.161749998107552    0.17175000347197    0.18174999393522701    0.19174999929964501    0.20175000466406301    0.21174999512732001    0.22125000692903901    0.23175000585615599    0.24125000275671399    0.25125000812113202    0.261749992147088    0.271750012412667    0.281750002875924    0.29174999333918    0.30175001360476    0.31175000406801701    0.32125000096857498    0.33124999143183198    0.34125001169741098    0.35174999572336602    0.36124999262392499    0.37175000645220202    0.38125000335276099    0.39124999381601799    0.401250014081597    0.411250004544854    0.421249995008111    0.431249985471367    0.441250005736947    0.45174998976290198    0.46124998666346001    0.47175000049173799    0.48174999095499499    0.49124998785555302    0.50125000812113196    0.51175002194940999    0.52175001241266705    0.531750002875924    0.54125002957880497    0.55174998380243701    0.56174997426569395    0.57175002433359601    0.58175001479685295    0.59175000526010901    0.60174999572336596    0.61174998618662302    0.62125001288950399    0.63125000335276105    0.64175001718103797    0.65124998427927405    0.66174999810755197    0.67125002481043305    0.68125001527369    0.69125000573694695    0.70124999620020301    0.71175001002848104    0.72124997712671701    0.73125002719461896    0.74125001765787601    0.75174997188150805    0.76175002194940999    0.77124998904764597    0.78124997951090303    0.79174999333918095    0.80174998380243701    0.81125001050531798    0.82175002433359601    0.83175001479685295    0.84124998189508904    0.85174999572336596    0.86125002242624704    0.87125001288950399    0.88175002671778202    0.89175001718103797    0.90175000764429503    0.91174999810755197    0.92125002481043305    0.93125001527369    0.94125000573694695    0.95175001956522398    0.96175001002848104    0.97124997712671701    0.98174999095499504    0.99125001765787601    1.00175003148615    1.01175002194941    1.02125004865229    1.0312500391155399    1.0417499933391801    1.05174998380243    1.06174997426569    1.0717499647289499    1.0817499551922001    1.09174994565546    1.10124997235834    1.1117500457912599    1.1217500362545201    1.1312499437481101    1.14175001718103    1.1512500438839099    1.1612500343471699    1.1717499885708    1.18174997903406    1.1917499694973199    1.2012499962001999    1.2112499866634601    1.22124997712671    1.2317500505596399    1.2417500410228901    1.2512499485164801    1.26125005818903    1.2717500124126599    1.2817500028759199    1.2917499933391801    1.30125002004206    1.31174997426569    1.3217499647289499    1.3317499551922001    1.34174994565546    1.35175005532801    1.3612499628215999    1.3712499532848501    1.38175002671778    1.39125005342066    1.4012500438839099    1.4117499981075501    1.4217499885708    1.43174997903406    1.44125000573694    1.4512499962001999    1.4612499866634601    1.47124997712671    1.48124996758997    1.4912499580532299    1.50175003148615    1.51125005818903    1.5217500124126599    1.5312500391155399    1.5417499933391801    1.55174998380243    1.56174997426569    1.5717499647289499    1.5812499914318301    1.59174994565546    1.60124997235834    1.6117500457912599    1.6217500362545201    1.63175002671778    1.64175001718103    1.6512500438839099    1.6617499981075501    1.6717499885708    1.68125001527369    1.69125000573694    1.7017499599605701    1.71174995042383    1.72174994088709    1.73124996758997    1.7412499580532299    1.7512499485164801    1.76125005818903    1.77125004865229    1.7817500028759199    1.7917499933391801    1.80174998380243    1.81174997426569    1.8212500009685699    1.8312499914318301    1.84174994565546    1.85124997235834    1.8617500457912599    1.8712499532848501    1.88175002671778    1.89125005342066    1.9017500076442899    1.9112500343471699    1.9217499885708    1.93174997903406    1.9417499694973199    1.9517499599605701    1.9612499866634601    1.97124997712671    1.98124996758997    1.9917500410228901    2.0017499122768601    2.01174990274012    2.0217498932033702    2.0312499199062501    2.0417501125484701    2.0517501030117198    2.0612498912960202    2.0712498817592802    2.0817500744014898    2.0917500648647498    2.1017500553280102    2.1117500457912599    2.1212500724941399    2.1317500267177798    2.1412500534206602    2.1517500076442899    2.1617499981075499    2.1712500248104298    2.18174997903406    2.1917499694973199    2.2012499962001999    2.2112499866634598    2.22174994088709    2.2317499313503499    2.2412499580532299    2.2512499485164801    2.26174990274012    2.2717498932033702    2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401    110.941250244155    110.95125238038599    110.96175042726099    110.971249023452    110.981747070327    110.991749206557    111.00124780274901    111.01124993897901    111.02125207521    111.03124658204599    111.041752258315    111.05174676515099    111.061252990737    111.071751037612    111.081249633803    111.091747680678    111.10174981690901    111.11175195313901    111.121746459975    111.13174859620599    111.14175073243599    111.151249328628    111.161747375503    111.17125360108901    111.18175164796401    111.19175378419401    111.20174829103    111.21124688722099    111.221249023452    111.231251159682    111.241253295913    111.25124780274901    111.26124993897901    111.27125207521    111.281750122085    111.29124871827599    111.301250854507    111.311748901382    111.321247497573    111.331753173843    111.34125177003401    111.35174981690901    111.36175195313901    111.37125054933099    111.38174859620599    111.39175073243599    111.401752868667    111.411251464858    111.421749511733    111.43175164796401    111.441250244155    111.45174829103    111.46175042726099    111.471249023452    111.481251159682    111.491749206557    111.50124780274901    111.511753479018    111.52125207521    111.53124658204599    111.541752258315    111.551250854507    111.561748901382    111.571247497573    111.581249633803    111.591747680678    111.60124627687    111.6112484131    111.621746459975    111.63174859620599    111.64175073243599    111.651249328628    111.661747375503    111.671749511733    111.68175164796401    111.69175378419401    111.70174829103    111.71124688722099    111.72175256349099    111.731747070327    111.741749206557    111.75124780274901    111.761753479018    111.77125207521    111.781750122085    111.79124871827599    111.80174676515099    111.811748901382    111.821247497573    111.831249633803    111.841747680678    111.85124627687    111.86175195313901    111.87125054933099    111.88174859620599    111.891247192397    111.901249328628    111.911251464858    111.921749511733    111.93175164796401    111.941250244155    111.95174829103    111.96124688722099    111.97175256349099    111.981251159682    111.991253295913    112.001751342788    112.011753479018    112.02174798585401    112.03124658204599    112.04124871827599    112.051250854507    112.061252990737    112.071751037612    112.081249633803    112.09125177003401    112.10124627687    112.11175195313901    112.121746459975    112.13125268556099    112.141247192397    112.151752868667    112.161747375503    112.17125360108901    112.18175164796401    112.19175378419401    112.20125238038599    112.21175042726099    112.22175256349099    112.231747070327    112.241253295913    112.251751342788    112.261753479018    112.27174798585401    112.28124658204599    112.291752258315    112.301250854507    112.311748901382    112.321751037612    112.331249633803    112.341747680678    112.35124627687    112.36175195313901    112.371746459975    112.38125268556099    112.39175073243599    112.401752868667    112.411747375503    112.421749511733    112.43175164796401    112.44175378419401    112.45174829103    112.46175042726099    112.47175256349099    112.481251159682    112.491749206557    112.501751342788    112.51124993897901    112.52125207521    112.53124658204599    112.54124871827599    112.55174676515099    112.561748901382    112.571751037612    112.581249633803    112.591747680678    112.60174981690901    112.61175195313901    112.62125054933099    112.63125268556099    112.64175073243599    112.651752868667    112.661251464858    112.671749511733    112.68175164796401    112.69175378419401    112.70125238038599    112.71175042726099    112.72175256349099    112.731747070327    112.741749206557    112.751751342788    112.761753479018    112.77174798585401    112.78124658204599    112.791752258315    112.80174676515099    112.811252990737    112.821751037612    112.831753173843    112.841747680678    112.85174981690901    112.8612484131    112.87125054933099    112.88174859620599    112.89175073243599    112.901752868667    112.911251464858    112.921749511733    112.93175164796401    112.941250244155    112.95125238038599    112.96175042726099    112.97175256349099    112.981747070327    112.991749206557    113.00124780274901    113.01124993897901    113.02174798585401    113.031750122085    113.041752258315    113.051250854507    113.061748901382    113.071751037612    113.081753173843    113.091747680678    113.10124627687    113.11175195313901    113.121746459975    113.13174859620599    113.14175073243599    113.151752868667    113.161747375503    113.17125360108901    Stress (psi)    
4.5510919999999997    4.5510919999999997    0    4.5510919999999997    4.5510919999999997    4.5510919999999997    4.5510919999999997    9.1021839999999994    13.653276    18.204369    22.755462999999999    31.857647    50.062016    59.164195999999997    81.919659999999993    91.021850000000001    109.22620999999999    136.53278    154.73714000000001    172.94149999999999    209.35024999999999    245.75899000000001    277.61664000000002    309.47426999999999    336.78084999999999    354.98516999999998    391.39391999999998    418.70049999999998    446.00704999999999    473.31357000000003    496.06909999999999    523.37559999999996    546.13109999999995    573.43759999999997    605.2953    637.15295000000003    678.11279999999999    705.4194    741.82799999999997    769.13459999999998    800.99225000000001    828.29876999999999    869.25867000000005    901.11632999999995    928.42285000000004    951.17830000000004    973.93370000000004    1010.34247    1033.098    1074.0577000000001    1101.3643    1128.6709000000001    1151.4264000000001    1178.7329    1201.4883    1237.8970999999999    1260.6524999999999    1278.8569    1301.6124    1333.4701    1356.2256    1388.0831000000001    1415.3897999999999    1438.1451    1470.0029    1488.2072000000001    1515.5137999999999    1542.8203000000001    1561.0245    1583.7801999999999    1606.5355999999999    1638.3932    1670.2509    1697.5574999999999    1724.864    1743.0685000000001    1770.3748000000001    1784.0282    1802.2327    1838.6412    1856.8457000000001    1884.1521    1902.3566000000001    1911.4586999999999    1934.2144000000001    1984.2764    2007.0316    2020.6849    2038.8894    2061.6448    2075.2979999999998    2111.7067999999999    2129.9110999999998    2152.6667000000002    2161.7687999999998    2184.5243999999998    2207.2797999999998    2225.4841000000001    2261.8928000000001    2289.1995000000002    2302.8528000000001    2321.0569999999998    2339.2615000000001    2357.4657999999999    2375.6702    2407.5277999999998    2416.63    2434.8344999999999    2457.5898000000002    2471.2431999999999    2493.9985000000001    2521.3049999999998    2548.6118000000001    2571.3672000000001    2585.0203000000001    2598.6736000000001    2621.4292    2639.6334999999999    2657.8380000000002    2671.4911999999999    2689.6958    2712.4512    2735.2062999999998    2748.8595999999998    2776.1662999999999    2798.9218999999998    2821.6774999999998    2839.8813    2862.6370000000002    2876.2903000000001    2894.4946    2912.6992    2930.9036000000001    2944.5569999999998    2962.761    2980.9652999999998    2999.1696999999999    3008.2719999999999    3040.1296000000002    3071.9872999999998    3085.6406000000002    3099.2939999999999    3112.9472999999998    3126.6003000000001    3149.3560000000002    3163.0093000000002    3176.6626000000001    3194.8667    3203.9690000000001    3231.2755999999999    3240.3780000000002    3263.1329999999998    3290.44    3308.6439999999998    3322.2973999999999    3331.3996999999999    3349.6039999999998    3372.3593999999998    3386.0127000000002    3404.2170000000001    3417.87    3436.0747000000001    3445.1768000000002    3463.3813    3486.1370000000002    3499.7898    3517.9944    3536.1985    3549.8517999999999    3568.0563999999999    3577.1583999999998    3586.2606999999998    3604.4652999999998    3613.5675999999999    3631.7716999999998    3645.4245999999998    3659.078    3672.7314000000001    3695.4870000000001    3718.2424000000001    3736.4470000000001    3736.4470000000001    3759.2021    3759.2021    3781.9575    3791.0598    3809.2642000000001    3818.3665000000001    3832.0198    3845.6729999999998    3854.7754    3877.5308    3900.2860000000001    3913.9391999999998    3932.1437999999998    3945.797    3954.8993999999998    3968.5527000000002    3982.2060000000001    3995.8591000000001    4004.9612000000002    4018.6143000000002    4032.2676000000001    4045.9209999999998    4064.1255000000001    4077.7788    4100.5339999999997    4114.1875    4114.1875    4132.3919999999998    4136.9430000000002    4155.1469999999999    4168.8002999999999    4177.9030000000002    4196.1073999999999    4200.6580000000004    4214.3114999999998    4223.4135999999999    4241.6180000000004    4259.8222999999998    4278.027    4291.68    4305.3334999999997    4309.8842999999997    4323.5375999999997    4332.6400000000003    4346.2929999999997    4359.9462999999996    4364.4975999999997    4378.1509999999998    4387.2529999999997    4405.4570000000003    4419.1109999999999    4432.7640000000001    4450.9683000000005    4469.1724000000004    4478.2749999999996    4487.3770000000004    4496.4795000000004    4510.1329999999998    4523.7856000000002    4532.8877000000002    4541.99    4551.0923000000003    4569.2969999999996    4578.3990000000003    4596.6030000000001    4605.7056000000002    4623.9097000000002    4642.1139999999996    4651.2163    4660.3184000000001    4669.4210000000003    4683.0739999999996    4692.17600000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 1019.4447    1019.4447    1014.89355    1023.99585    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1019.4447    1019.4447    1010.34247    1014.89355    1014.89355    1019.4447    1023.99585    1014.89355    1019.4447    1014.89355    1019.4447    1019.4447    1019.4447    1010.34247    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1010.34247    1019.4447    1019.4447    1014.89355    1019.4447    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1019.4447    1023.99585    1023.99585    1010.34247    1014.89355    1014.89355    1019.4447    1019.4447    1014.89355    1014.89355    1014.89355    1023.99585    1019.4447    1014.89355    1019.4447    1010.34247    1014.89355    1019.4447    1014.89355    1014.89355    1010.34247    1014.89355    1019.4447    1014.89355    1014.89355    1010.34247    1014.89355    1014.89355    1019.4447    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1023.99585    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1019.4447    1019.4447    1019.4447    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1019.4447    1019.4447    1019.4447    1010.34247    1014.89355    1014.89355    1023.99585    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1019.4447    1014.89355    1014.89355    1014.89355    1014.89355    1010.34247    1019.4447    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1010.34247    1019.4447    1014.89355    1019.4447    1019.4447    1019.4447    1019.4447    1019.4447    1019.4447    1014.89355    1010.34247    1014.89355    1014.89355    1019.4447    1019.4447    1014.89355    1014.89355    1010.34247    1014.89355    1014.89355    1010.34247    1019.4447    1019.4447    1019.4447    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1014.89355    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1014.89355    1019.4447    1019.4447    1014.89355    1023.99585    1019.4447    1019.4447    1023.99585    1010.34247    1019.4447    1019.4447    1019.4447    1019.4447    1014.89355    1023.99585    1019.4447    1014.89355    1019.4447    1014.89355    1014.89355    1010.34247    1019.4447    1019.4447    1010.34247    1014.89355    1014.89355    1010.34247    1014.89355    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1014.89355    1019.4447    1019.4447    1014.89355    1014.89355    1014.89355    1019.4447    1014.89355    1019.4447    1023.99585    1014.89355    1023.99585    1019.4447    1019.4447    1023.99585    1019.4447    1014.89355    1019.4447    1023.99585    1014.89355    1019.4447    1019.4447    1019.4447    1019.4447    1019.4447    1019.4447    1023.99585    1023.99585    1019.4447    1023.99585    1014.89355    1023.99585    1019.4447    1019.4447    1023.99585    1019.4447    1023.99585    1019.4447    1019.4447    1023.99585    1019.4447    1023.99585    1019.4447    1019.4447    1023.99585    1019.4447    1028.5469000000001    1023.99585    1019.4447    1033.098    1033.098    1042.2001    1042.2001    1042.2001    1042.2001    1042.2001    1046.7511999999999    1046.7511999999999    1046.7511999999999    1051.3024    1046.7511999999999    1042.2001    1042.2001    1033.098    1042.2001    1046.7511999999999    1051.3024    1051.3024    1051.3024    1051.3024    1046.7511999999999    1051.3024    1051.3024    1055.8534    1055.8534    1055.8534    1051.3024    1051.3024    1060.4045000000001    1055.8534    1051.3024    1064.9556    1055.8534    1060.4045000000001    1064.9556    1064.9556    1069.5066999999999    1064.9556    1069.5066999999999    1078.6088999999999    1064.9556    1074.0577000000001    1074.0577000000001    1074.0577000000001    1074.0577000000001    1074.0577000000001    1078.6088999999999    1074.0577000000001    1078.6088999999999    1083.1600000000001    1083.1600000000001    1087.711    1078.6088999999999    1083.1600000000001    1083.1600000000001    1087.711    1087.711    1087.711    1092.2621999999999    1101.3643    1096.8132000000001    1101.3643    1092.2621999999999    1105.9154000000001    1105.9154000000001    1105.9154000000001    1110.4666    1110.4666    1115.0175999999999    1115.0175999999999    1115.0175999999999    1124.1198999999999    1119.5687    1128.6709000000001    1124.1198999999999    1119.5687    1119.5687    1115.0175999999999    1110.4666    1110.4666    1101.3643    1101.3643    1096.8132000000001    1101.3643    1101.3643    1092.2621999999999    1087.711    Load (lb)    0.1213471    0.1213471    0    0.1213471    0.1213471    0.1213471    0.1213471    0.2426942    0.36404130000000001    0.4853884    0.60673549999999998    0.84942969999999995    1.3348180000000001    1.5775123    2.1842476999999998    2.4269419999999999    2.9123304000000001    3.6404128    4.1258010000000001    4.6111899999999997    5.5819663999999998    6.5527433999999998    7.4021730000000003    8.2516020000000001    8.9796859999999992    9.4650739999999995    10.43585    11.163933    11.892015000000001    12.620098    13.226834    13.954917    14.561650999999999    15.289733999999999    16.139164000000001    16.988593999999999    18.080718999999998    18.808802    19.779577    20.507657999999999    21.357088000000001    22.085170000000002    23.177295999999998    24.026726    24.754808000000001    25.361543999999999    25.968278999999999    26.939056000000001    27.545791999999999    28.637915    29.365997    30.094080000000002    30.700814999999999    31.428898    32.035632999999997    33.006410000000002    33.613143999999998    34.098534000000001    34.705269999999999    35.554699999999997    36.161437999999997    37.010863999999998    37.738950000000003    38.345683999999999    39.195113999999997    39.680500000000002    40.408585000000002    41.136665000000001    41.622055000000003    42.228789999999996    42.835526000000002    43.684956    44.534385999999998    45.26247    45.990549999999999    46.475940000000001    47.20402    47.568060000000003    48.053449999999998    49.024227000000003    49.509616999999999    50.237698000000002    50.723087    50.965781999999997    51.572516999999998    52.907336999999998    53.514069999999997    53.878112999999999    54.363503000000001    54.970233999999998    55.33428    56.305050000000001    56.790439999999997    57.397179999999999    57.639873999999999    58.246605000000002    58.853344    59.338734000000002    60.309510000000003    61.037590000000002    61.401629999999997    61.88702    62.372410000000002    62.857796    63.343184999999998    64.192610000000002    64.435310000000001    64.920699999999997    65.527434999999997    65.891469999999998    66.49821    67.226290000000006    67.95438    68.561109999999999    68.925150000000002    69.289190000000005    69.895930000000007    70.381320000000002    70.866709999999998    71.23075    71.716139999999996    72.322875999999994    72.929599999999994    73.29365    74.021730000000005    74.628460000000004    75.235209999999995    75.720590000000001    76.327324000000004    76.691370000000006    77.176760000000002    77.662149999999997    78.147540000000006    78.511570000000006    78.996955999999997    79.482346000000007    79.967735000000005    80.210434000000006    81.059870000000004    81.909289999999999    82.273330000000001    82.637375000000006    83.001410000000007    83.365455999999995    83.972189999999998    84.336235000000002    84.700280000000006    85.185659999999999    85.428349999999995    86.156440000000003    86.39913    87.005875000000003    87.733954999999995    88.219340000000003    88.583380000000005    88.826070000000001    89.311459999999997    89.918199999999999    90.282240000000002    90.767629999999997    91.13167    91.617059999999995    91.859750000000005    92.345140000000001    92.951880000000003    93.315920000000006    93.801310000000001    94.286689999999993    94.650734    95.136120000000005    95.378820000000005    95.621510000000001    96.106899999999996    96.349599999999995    96.834990000000005    97.199020000000004    97.563064999999995    97.927109999999999    98.533844000000002    99.14058    99.625969999999995    99.625969999999995    100.232704    100.232704    100.83944    101.08213000000001    101.56752    101.81022    102.174255    102.53830000000001    102.78100000000001    103.387726    103.99446    104.35850499999999    104.843895    105.20793    105.45063    105.814674    106.17871    106.54275    106.78544599999999    107.14948    107.51353    107.87757000000001    108.36296    108.72700500000001    109.33374000000001    109.69777999999999    109.69777999999999    110.18317    110.30450999999999    110.7899    111.153946    111.39664    111.88203    112.00337    112.36742    112.6101    113.09549    113.58087999999999    114.06627    114.43031000000001    114.79436    114.9157    115.27975000000001    115.52244    115.886475    116.25051999999999    116.371864    116.73591    116.9786    117.46399    117.82803    118.19208    118.67747    119.16285000000001    119.40554    119.64824    119.89093    120.254974    120.61902000000001    120.86171    121.10441    121.3471    121.83249000000001    122.07518    122.56057    122.80325999999999    123.28865    123.77404    124.01674    124.25942999999999    124.50212999999999    124.866165    125.10886000000001    125.35155    125.71559000000001    126.20098    126.56502500000001    127.050415    127.41446000000001    127.778496    127.89985    128.14252999999999    128.62791000000001    128.99196000000001    129.23465999999999    129.47736    129.72004999999999    130.20544000000001    130.44814    130.69083000000001    131.17621    131.41890000000001    131.90430000000001    132.26833999999999    132.63238999999999    132.63238999999999    133.11777000000001    133.48181    133.72450000000001    134.08855    134.45258000000001    134.81662    134.93797000000001    135.30202    135.90875    136.27279999999999    136.75818000000001    137.00089    137.12222    137.48625000000001    137.97165000000001    138.3357    138.69973999999999    138.94243    139.18512000000001    139.67052000000001    139.79185000000001    140.1559    140.39859000000001    140.64127999999999    141.12667999999999    141.36937    141.85477    142.09744000000001    142.4615    142.70419999999999    142.82552999999999    143.43227999999999    143.55362    143.79631000000001    144.03899999999999    144.2817    144.88844    145.25246999999999    145.49518    145.98056    146.1019    146.46596    146.70865000000001    147.07267999999999    147.43673999999999    147.55806999999999    147.92212000000001    148.04346000000001    148.28614999999999    148.89287999999999    149.13557    149.74232000000001    149.86366000000001    150.34906000000001    150.7131    150.83444    151.19846999999999    151.31984    151.68387000000001    152.04791    152.16925000000001    152.53331    152.89734000000001    153.38274000000001    153.86812    154.23218    154.35352    154.71754000000001    154.96024    155.08159000000001    155.44562999999999    155.68832    156.05237    156.29507000000001    156.53776999999999    156.6591    157.26585    157.75121999999999    158.23661999999999    158.35796999999999    158.60066    159.08604    159.32875000000001    159.57144    159.81413000000001    159.93547000000001    160.42087000000001    160.42087000000001    160.90625    161.39165    161.63434000000001    162.24107000000001    162.36242999999999    162.84781000000001    163.21185    163.21185    163.45454000000001    163.69723999999999    163.93993    164.30396999999999    164.42532    165.03203999999999    165.27475000000001    165.6388    166.12419    166.60955999999999    166.9736    167.33765    167.58034000000001    167.82302999999999    168.06572    168.55112    168.67247    169.03649999999999    169.03649999999999    169.52189999999999    169.88593    170.24997999999999    170.85669999999999    171.09941000000001    171.22076000000001    171.70615000000001    171.82748000000001    172.07019    172.31288000000001    172.67693    173.04096999999999    173.28366    173.52635000000001    173.89037999999999    174.25443999999999    174.86116000000001    175.10387    175.22522000000001    175.7106    175.83194    176.07464999999999    176.31734    176.68136999999999    177.04543000000001    177.28811999999999    177.65215000000001    177.77350000000001    177.89483999999999    178.50158999999999    178.86562000000001    179.35101    179.47235000000001    179.71503999999999    180.20043999999999    180.3218    180.80717000000001    180.92852999999999    181.17122000000001    181.53525999999999    181.77795    182.26334    182.50603000000001    182.99142000000001    183.23411999999999    183.59816000000001    183.9622    184.08356000000001    184.44758999999999    184.69028    184.93297999999999    185.29701    185.53970000000001    185.90376000000001    186.38914    186.51048    186.87454    187.11723000000001    187.48125999999999    187.84531999999999    188.20935    188.45204000000001    188.81609    188.93744000000001    189.30146999999999    189.66551000000001    189.90822    190.15091000000001    190.39359999999999    190.87899999999999    191.24303    191.60705999999999    191.97112000000001    192.33514    192.69919999999999    192.9419    193.30591999999999    193.42728    193.66998000000001    194.03400999999999    194.39804000000001    194.7621    194.88344000000001    195.36882    195.73287999999999    196.09691000000001    196.33959999999999    196.82499999999999    196.94635    197.43172000000001    197.43172000000001    198.03846999999999    198.15979999999999    198.4025    198.76656    198.8879    199.37327999999999    199.61598000000001    200.34406000000001    200.7081    200.95079000000001    201.31483    201.43617    201.92157    202.16426000000001    202.28560999999999    202.64966000000001    202.77100999999999    203.13504    203.37773000000001    203.86313000000001    204.34851    204.59121999999999    204.95525000000001    205.19793999999999    205.44063    205.80468999999999    206.04738    206.29006999999999    206.53278    206.65411    207.1395    207.1395    207.6249    207.98892000000001    208.59567000000001    209.08105    209.32374999999999    209.56645    209.68779000000001    210.05181999999999    210.53721999999999    210.65857    210.90126000000001    211.14394999999999    211.50800000000001    211.87204    212.11473000000001    212.72147000000001    213.20685    213.20685    213.69225    213.81358    214.29897    214.663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