<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    ojce
   </journal-id>
   <journal-title-group>
    <journal-title>
     Open Journal of Civil Engineering
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2164-3164
   </issn>
   <issn publication-format="print">
    2164-3172
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/ojce.2024.142010
   </article-id>
   <article-id pub-id-type="publisher-id">
    ojce-134243
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Engineering
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    The Performance of Small Diameter Aluminum Light Support Structures Containing Handholes under Cyclic Fatigue
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Cameron R.
      </surname>
      <given-names>
       Rusnak
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Aya
      </surname>
      <given-names>
       Al-Hamami
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Craig C.
      </surname>
      <given-names>
       Menzemer
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aDepartment of Science, Technology, and Mathematics, Lincoln University of Missouri, Jefferson, Missouri, USA
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aAuburn Science and Engineering Center, Department of Civil Engineering, The University of Akron, Akron, Ohio, USA
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     25
    </day> 
    <month>
     06
    </month>
    <year>
     2024
    </year>
   </pub-date> 
   <volume>
    14
   </volume> 
   <issue>
    02
   </issue>
   <fpage>
    196
   </fpage>
   <lpage>
    213
   </lpage>
   <history>
    <date date-type="received">
     <day>
      30,
     </day>
     <month>
      May
     </month>
     <year>
      2024
     </year>
    </date>
    <date date-type="published">
     <day>
      25,
     </day>
     <month>
      May
     </month>
     <year>
      2024
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      25,
     </day>
     <month>
      June
     </month>
     <year>
      2024
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    Aluminum light poles play a pivotal role in modern infrastructure, ensuring proper illumination along highways and in populated areas during nighttime. These poles typically feature handholes near their bases, providing access to electrical wiring for installation and maintenance. While essential for functionality, these handholes introduce a vulnerability to the overall structure, making them a potential failure point. Although prior research and analyses on aluminum light poles have been conducted, the behavior of smaller diameter poles containing handholes remains unexplored. Recognizing this need, a research team at the University of Akron undertook a comprehensive experimental program involving aluminum light poles with handholes containing welded inserts in order to gain a better understanding of their fatigue life, mechanical behavior, and failure mechanisms. The research involved testing seven large-scale aluminum light poles each 8-inch diameter, with two separate handholes. These handholes included a reinforcement that was welded to the poles. Finite Element Analysis (FEA), statistical analysis, and comparison analysis with their large counterparts (10-inch diameter) were used to augment the experimental results. The results revealed two distinct failure modes: progressive crack propagation leading to ultimate failure, and rupture of the pole near the weld initiation/termination site around the handhole. The comparison analysis indicated that the 8-inch diameter specimens exhibited an average fatigue life exceeding that of their 10-inch counterparts by an average of 30.7%. The experimental results were plotted alongside the fatigue detail classifications outlined in the Aluminum Design Manual (ADM), enhancing understanding of the fatigue detail category of the respective poles/handholes.
   </abstract>
   <kwd-group> 
    <kwd>
     Light Pole
    </kwd> 
    <kwd>
      Handhole
    </kwd> 
    <kwd>
      Cyclic Fatigue
    </kwd> 
    <kwd>
      Fatigue Analysis
    </kwd> 
    <kwd>
      Finite Element Analysis
    </kwd> 
    <kwd>
      Statistical Analysis
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>Light poles are essential to modern infrastructure as they provide safety and security for those driving on roadways, parking lots, commercial centers, industrial facilities, and to those walking on nearby sidewalks. When spaced appropriately, they can eliminate dark spots and alert cars and pedestrians to potential hazards <xref ref-type="bibr" rid="scirp.134243-1">
     [1]
    </xref> <xref ref-type="bibr" rid="scirp.134243-2">
     [2]
    </xref>. A critical aspect of light pole design and construction is the electrical access handhole placed near the base of the pole. These holes typically contain a reinforcement that is welded into position <xref ref-type="bibr" rid="scirp.134243-3">
     [3]
    </xref>. These handholes allow for necessary access to the electrical wiring system for both installation and maintenance purposes. However, while integral to the functionality of the light pole, these handholes present a vulnerability within the system and may represent a potential failure location. Proper inspection, maintenance and replacement of light poles can significantly reduce the risk associated with unexpected collapses and, most importantly, safeguard against the loss of human life.</p>
   <p>Throughout history, wind-induced fatigue cracking has been identified as a significant factor leading to structural failure and collapse of light poles <xref ref-type="bibr" rid="scirp.134243-4">
     [4]
    </xref>. Notable incidents include the failure of a light pole on the Western Link Elevated Road in September 2003, causing disruption to northbound traffic. Additionally, in June 2004, a light pole near the crest of the Bolte Bridge experienced a similar failure <xref ref-type="bibr" rid="scirp.134243-5">
     [5]
    </xref>. In March 2009, during a girls’ soccer game at Hays High School in Buda, Texas, a light pole surrounding the stadium collapsed onto the roof of an adjacent gymnasium <xref ref-type="bibr" rid="scirp.134243-6">
     [6]
    </xref> <xref ref-type="bibr" rid="scirp.134243-7">
     [7]
    </xref>. It has been reordered that steel light poles manufactured by Whtico Co. LLP have fallen 11 times between 2000-2010 <xref ref-type="bibr" rid="scirp.134243-8">
     [8]
    </xref>. In 2014, light pole structures in a large public parking lot in Kansas failed due to extreme wind conditions, with subsequent investigations revealing propagating fatigue cracks near critical locations <xref ref-type="bibr" rid="scirp.134243-9">
     [9]
    </xref>. Tsai et al. discussed a research article detailing the collapse of a high-mast light pole along I-29 near Sioux City in 2003, early in its service life, among other failures <xref ref-type="bibr" rid="scirp.134243-10">
     [10]
    </xref>. Koob’s article on high mast towers and pole luminaries highlighted a case where a 140-foot-tall tower failed, with inspection revealing cracking in the handhole, as depicted in “<xref ref-type="fig" rid="fig1">
     Figure 1
    </xref>” <xref ref-type="bibr" rid="scirp.134243-11">
     [11]
    </xref>.</p>
   <p>Numerous studies have explored the complexities surrounding light poles and their fatigue life. Roy et al. <xref ref-type="bibr" rid="scirp.134243-12">
     [12]
    </xref> examined cost-effective connection details for highway sign, luminaire, and traffic signal structures. Their study involved testing 80 full-sized galvanized specimens of various support structures under fatigue, coupled with Finite Element Analysis, leading to proposed specification revisions for AASHTO standards. Consolazio et al. <xref ref-type="bibr" rid="scirp.134243-13">
     [13]
    </xref> conducted a three-month monitoring study of a Variable Message Sign (VHS) to determine equivalent static pressures for fatigue loads, informing future sign support structure design. Oterkus et al. <xref ref-type="bibr" rid="scirp.134243-14">
     [14]
    </xref> performed stress analysis on composite cylindrical shells with elliptical cutouts, establishing design criteria for laminated composite shells. The University of Akron has conducted multiple investigations on aluminum light poles and their fatigue life. Azzam <xref ref-type="bibr" rid="scirp.134243-15">
     [15]
    </xref> studied the fatigue behavior of welded aluminum light poles, focusing on socket connections. Daneshkhah et al. <xref ref-type="bibr" rid="scirp.134243-16">
     [16]
    </xref> examined reinforced welded handholes in aluminum light poles, developing S-N curves and analyzing mechanical behavior. Schlater’s master’s thesis <xref ref-type="bibr" rid="scirp.134243-17">
     [17]
    </xref> investigated the fatigue behavior of reinforced electrical access handholes on 10-inch diameter specimens, available in the “OhioLink” library. Rusnak et al. conducted extensive research on aluminum light poles and associated handholes, covering topics such as flush-insert-design handholes <xref ref-type="bibr" rid="scirp.134243-18">
     [18]
    </xref>, open-unreinforced handholes <xref ref-type="bibr" rid="scirp.134243-19">
     [19]
    </xref>, geometry changes <xref ref-type="bibr" rid="scirp.134243-20">
     [20]
    </xref>, and fracture mechanics analysis <xref ref-type="bibr" rid="scirp.134243-21">
     [21]
    </xref>. Rusnak’s master’s thesis and doctoral dissertation <xref ref-type="bibr" rid="scirp.134243-22">
     [22]
    </xref> <xref ref-type="bibr" rid="scirp.134243-23">
     [23]
    </xref>, available in the “OhioLink” library. Rusnak’s master’s thesis focused on the fatigue life of smaller-sized aluminum light poles. His dissertation further explored the nuances of various aspects of a handhole present in aluminum light poles. This included examining a flush design, a nonreinforcement design, and changes in the geometry of the insert design. Each aspect was analyzed using Finite Element Analysis and Fracture Mechanics Analysis.</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>Figure 1. Cracking around handhole in high mast tower <xref ref-type="bibr" rid="scirp.134243-10">
       [10]
      </xref>.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId13.jpeg?20240628040519" />
   </fig>
   <p>Hoeppner et al. <xref ref-type="bibr" rid="scirp.134243-24">
     [24]
    </xref> explored the prediction of component life through the application of fatigue crack growth, providing examples of generated forms of fatigue-crack growth laws. Their study aimed to demonstrate how fatigue-crack growth concepts can be applied to predict life, enhance reliability, select appropriate materials, improve design, and establish inspection criteria. Fatemi et al <xref ref-type="bibr" rid="scirp.134243-25">
     [25]
    </xref> conducted a study on cumulative fatigue damage and life prediction for homogenous materials. Carpinteri et al. <xref ref-type="bibr" rid="scirp.134243-26">
     [26]
    </xref> investigated the size effect of fatigue life in metals. Their findings were in line with previous research on the subject, indicating that as the size of a general specimen increases, the fatigue life decreases.</p>
   <p>Statistical analysis is a powerful tool that helps researchers examine and understand data across various fields such as engineering, science, business, healthcare, and the social sciences. Its primary focus is on gathering, sorting, studying, and interpreting data to reveal hidden patterns, trends, and draw connections <xref ref-type="bibr" rid="scirp.134243-27">
     [27]
    </xref>. The primary objective of statistical analysis is to unravel complex data sets using mathematical and computational methods. This process assists researchers and analysts in drawing conclusions, testing hypotheses, and making predictions grounded in empirical evidence <xref ref-type="bibr" rid="scirp.134243-28">
     [28]
    </xref> <xref ref-type="bibr" rid="scirp.134243-29">
     [29]
    </xref>. Statistical analysis encompasses a wide array of methods and techniques. Descriptive statistics serve as summaries, akin to snapshots, that highlight key aspects of a dataset by revealing the average or most frequent values. Inferential statistics enable us to make estimations or forecasts about a broader population using a smaller sample.</p>
   <p>The research presented in this paper is a part of a comprehensive analysis of aluminum light poles conducted at the University of Akron <xref ref-type="bibr" rid="scirp.134243-15">
     [15]
    </xref>-<xref ref-type="bibr" rid="scirp.134243-21">
     [21]
    </xref>. The current study begins by introducing the experimental setup utilized in the laboratory to test 8-inch diameter aluminum light poles with cast handholes welded into position. Subsequently, the cyclic loading protocol is outlined. The investigation examines the fatigue life and mechanical behavior of the aluminum light poles concerning their capacity. Fatigue life of the specimens was plotted as S-N curves and compared to the standard details outlined in the Aluminum Design Manual <xref ref-type="bibr" rid="scirp.134243-30">
     [30]
    </xref> in order to determine the fatigue detail category of the handholes tested. Additionally, Finite Element Analysis (FEA), statistical analysis and comparison to larger size poles were conducted alongside the laboratory experiments to enhance understanding of the behavior and fatigue life of the aluminum light poles.</p>
  </sec><sec id="s2">
   <title>2. Experimental Program and Finite Element Models of the Aluminum Light Support Structures</title>
   <sec id="s2_1">
    <title>2.1. Experimental Setup and Loading Protocol</title>
    <p>
     <xref ref-type="bibr" rid="scirp.134243-"></xref>The present aluminum light support structure study encompassed a total of seven (7) individual large-scale tests, with an emphasis on the handholes that contained a reinforcement welded into place. The specimens were 8-inch in diameter with a wall thickness of 0.25-in and contained 2 handholes. The body of the pole measured 12-feet (144-inch) in length, with the center of each handhole positioned 54-inch from each end of the pole respectively. The industry-standard oval reinforcement welded into the handholes measured 4-inch × 6-inch, with the major dimension along the vertical/longitudinal axis <xref ref-type="bibr" rid="scirp.134243-3">
      [3]
     </xref>. Handholes were welded into place using Gas Metal Arc Welding (GMAW) <xref ref-type="bibr" rid="scirp.134243-31">
      [31]
     </xref> prior to delivery to the University of Akron. “<xref ref-type="fig" rid="fig2">
      Figure 2
     </xref>” depicts a sample laboratory image of the handhole reinforcement welded into the light pole.</p>
    <fig id="fig2" position="float">
     <label>Figure 2</label>
     <caption>
      <title>Figure 2. Sample image of handhole reinforcement welded into the pole.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId14.jpeg?20240628040520" />
    </fig>
    <p>Each specimen was positioned on two (2) separate rollers, approximately 6 inches from each end of the pole respectively. A spreader bar, 100 inches in length with steel rollers attached 8 inches from each end, was used to facilitate four-point bending. This spreader bar was placed on the specimen with the rollers 30 inches from each end of the pole respectively. Loaded was applied using a 55-kip servo-hydraulic actuator powered by an MTS STS controller system, attached to the center of the spreader bar. Comprehensive details regarding the material properties of pole/tube, cast insert, and weldment are available in the following databases: Pole <xref ref-type="bibr" rid="scirp.134243-32">
      [32]
     </xref>, Cast Insert <xref ref-type="bibr" rid="scirp.134243-33">
      [33]
     </xref>, and Weld <xref ref-type="bibr" rid="scirp.134243-34">
      [34]
     </xref>. All materials underwent heat treatment, increasing the tempter to T6 <xref ref-type="bibr" rid="scirp.134243-35">
      [35]
     </xref> prior to delivery to the University of Akron. “<xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>” depicts the test setup, and “<xref ref-type="fig" rid="fig4">
      Figure 4
     </xref>” depicts a photograph from the laboratory. “<xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>” depicts a simple sketch of the pole, with reference to a clock around the handholes and handhole labels for each specimen.</p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 3. Test setup.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId15.jpeg?20240628040520" />
    </fig>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. Laboratory photo of test setup.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId16.jpeg?20240628040520" />
    </fig>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. Clock orientation around a handhole.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId17.jpeg?20240628040520" />
    </fig>
    <p>In real-world scenarios, wind loading on structures occurs at irregular intervals and can be characterized as a variable amplitude. However, conducting laboratory testing with variable amplitude loading can be challenging. To address this issue and bridge the gap to a constant amplitude loading protocol, the application of Miners Rule <xref ref-type="bibr" rid="scirp.134243-36">
      [36]
     </xref> <xref ref-type="bibr" rid="scirp.134243-37">
      [37]
     </xref> <xref ref-type="bibr" rid="scirp.134243-38">
      [38]
     </xref> and the Rainflow counting algorithm <xref ref-type="bibr" rid="scirp.134243-39">
      [39]
     </xref> is appropriate. These methods enable the use of a constant amplitude loading protocol when analyzing structures subjected to variable amplitude loading. As a result, cyclic loading with a constant amplitude was chosen as the appropriate loading protocol for testing in this study. This approach allows for a more controlled and manageable testing environment while still capturing the essential fatigue behavior of the aluminum light support structures under variable loading conditions experienced in the field.</p>
    <p>In the study, various stress ranges were chosen to undergo cyclic loading at a constant amplitude. The chosen stress ranges were selected in order to facilitate a straightforward comparison with the ADM <xref ref-type="bibr" rid="scirp.134243-30">
      [30]
     </xref>. “<xref ref-type="table" rid="table1">
      Table 1
     </xref>” provides details of the tested stress ranges, corresponding specimen numbers, and cycle rates. Larger stress ranges were cycled at 1 hertz, while smaller stress ranges were cycled at 2 hertz. This approach aimed to reduce the total testing time for smaller stress ranges. The MTS STS software’s internal counter was utilized to monitor the number of cycles completed during testing and a maximum displacement for the actuator was set for each experiment so that when failure occurred, the actuator shut down. Testing was conducted around the clock until failure was achieved.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.134243-"></xref>Table 1. Constant amplitude cyclic stress ranges.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td aleft" width="47.26%"><p style="text-align:left">Stress Range (Mpa)</p></td> 
       <td class="custom-bottom-td aleft" width="21.83%"><p style="text-align:left">Specimen #</p></td> 
       <td class="custom-bottom-td aleft" width="22.44%"><p style="text-align:left">Rate (HZ)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td aleft" width="47.26%"><p style="text-align:left">17.86</p></td> 
       <td class="custom-top-td aleft" width="21.83%"><p style="text-align:left">6</p></td> 
       <td class="custom-top-td aleft" width="22.44%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">24.75</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">5</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">31.03</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">4</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">38.20</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">3</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">44.33</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">2</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">50.95</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">1</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="47.26%"><p style="text-align:left">62.68</p></td> 
       <td class="aleft" width="21.83%"><p style="text-align:left">7</p></td> 
       <td class="aleft" width="22.44%"><p style="text-align:left">1</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Testing was concluded when any of the following conditions were met:</p>
    <p>It is essential to recognize that the light poles contained two (2) separate handholes. In the event of failure in one handhole, a moment reinforcement clamp was placed around the failed handhole to enable testing to continue. This allowed for more data points to be collected from a single specimen.</p>
   </sec>
   <sec id="s2_2">
    <title>2.2. Finite Element, Statistical and Comparison Analyses</title>
    <p>Finite Element Analysis (FEA) was utilized to enhance the understanding of the reinforced handholes under bending. FEA models, built at a 1:1 scale, represented the four-point bending specimens. Geometric models were constructed using SolidWorks and imported into the FEA software, ABAQUS. ABAQUS was chosen for its capability to accurately assess stress concentrations around the handholes. The FEA meshing utilized a “shell” model with a global element size set to 0.5. The reinforcement locations in the FEA model mirrored those in laboratory experiments and were constrained in all directions. A constant force of 7 N was applied at the same location where loading occurred in the laboratory setup. These loading and constraint configurations align with previous studies by Daneshkhah, Schlatter, and Rusnak <xref ref-type="bibr" rid="scirp.134243-15">
      [15]
     </xref>-<xref ref-type="bibr" rid="scirp.134243-20">
      [20]
     </xref>. “<xref ref-type="fig" rid="fig6">
      Figure 6
     </xref>” depicts the FEA model within ABAQUS.</p>
    <p>The research team conducted a power regression statistical analysis on the 8-inch and 10-inch diameter (from Schlatter et al. <xref ref-type="bibr" rid="scirp.134243-16">
      [16]
     </xref>) specimens. The S-N data was the focal point of the statistical analysis. The analysis procedure employed experimental data to determine the trend line, which was subsequently utilized to extrapolate the data into untested stress ranges. Two (2) separate analyses were performed encompassing the 8-inch specimens and the 10-inch specimens.</p>
    <fig id="fig6" position="float">
     <label>Figure 6</label>
     <caption>
      <title>Figure 6. Finite element model.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId18.jpeg?20240628040520" />
    </fig>
    <p>A comparison analysis was conducted to assess the fatigue life of the 8-inch diameter specimens in relation to 10-inch diameter specimens, focusing on the S-N curves of each study. The reference study for comparison was conducted by Schlatter at the University of Akron <xref ref-type="bibr" rid="scirp.134243-16">
      [16]
     </xref>. Additional FEA models were developed with loading conditions comparable to Schlatter’s study to investigate the impact of size on stress concentrations.</p>
   </sec>
  </sec><sec id="s3">
   <title>3. Experimental and Analytical Results of the Aluminum Light Support Structures</title>
   <sec id="s3_1">
    <title>3.1. Experimental Behavior and Physical Damages</title>
    <p>During experimental testing, two distinct failure modes were identified. The first, referred to as “Failure Mode 1,” involved fatigue cracking originating at the throat of the weld. This cracking typically began at either the 3 o’clock or 9 o’clock position of the welded handhole, gradually extending along the weldment until reaching a critical point where the crack penetrated into the casting, leading to ultimate failure. In some instances, the pole fractured at either the 3 o’clock or 9 o’clock position following crack propagation. The second failure mode, referred to as “Failure Mode 2,” occurred at the base of the handhole, specifically around the 6 o’clock position, coinciding with the location of weld initiation/termination. In this mode, the pole ruptured at the identified location. “<xref ref-type="fig" rid="figFigures 7-11">
      Figures 7-11
     </xref>” depict images of the observed damage and “<xref ref-type="table" rid="table2">
      Table 2
     </xref>” provides comprehensive details of the damage observed, along with corresponding figures.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.134243-"></xref>Table 2. List of observed damage.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td aleft" width="14.18%"><p style="text-align:left">Failure Mode</p></td> 
       <td class="custom-bottom-td aleft" width="85.82%"><p style="text-align:left">Observations/Damage Description</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="custom-top-td aleft" width="14.18%"><p style="text-align:left">Failure Mode 1</p></td> 
       <td class="custom-top-td aleft" width="85.82%">
        <xref ref-type="fig" rid="fig7">
         Figure 7
        </xref><xref ref-type="fig" rid="fig8">
         Figure 8
        </xref><p style="text-align:left">Fatigue crack initiating at either the 3 or 9 o’clock position after propagation and failure. In this case, final failure/fracture occurred in both the casting and pole (“” and “”).</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="85.82%">
        <xref ref-type="fig" rid="fig9">
         Figure 9
        </xref><xref ref-type="fig" rid="fig10">
         Figure 10
        </xref><p style="text-align:left">Fatigue crack initiating at either the 3 or 9 o’clock position after propagation and failure. In this case, final failure/fracture occurred in the pole and no cracking was observed in the casting (“” and “”).</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.18%"><p style="text-align:left">Failure Mode 2</p></td> 
       <td class="aleft" width="85.82%">
        <xref ref-type="fig" rid="fig11">
         Figure 11
        </xref><p style="text-align:left">Fracture of the pole at approximately the 6 o’clock position corresponding with the weld initiation/termination location (“”).</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <fig id="fig7" position="float">
     <label>Figure 7</label>
     <caption>
      <title>Figure 7. Failure Mode 1 longitudinal fatigue crack and failure of the casting and Pole Case 1.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId19.jpeg?20240628040521" />
    </fig>
    <fig id="fig8" position="float">
     <label>Figure 8</label>
     <caption>
      <title>Figure 8. Failure Mode 1 longitudinal fatigue crack and failure of the casting and Pole Case 2.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId20.jpeg?20240628040521" />
    </fig>
    <fig id="fig9" position="float">
     <label>Figure 9</label>
     <caption>
      <title>Figure 9. Mode 1 longitudinal fatigue crack and failure of the Pole Case 1.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId21.jpeg?20240628040521" />
    </fig>
    <fig id="fig10" position="float">
     <label>Figure 10</label>
     <caption>
      <title>Figure 10. Mode 1 longitudinal fatigue crack and failure of the Pole Case 2.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId22.jpeg?20240628040521" />
    </fig>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>Figure 11. Failure Mode 2 pole rupture.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId23.jpeg?20240628040521" />
    </fig>
    <p>During testing, twelve (12) handholes experienced one of two failure modes, resulting in the failure of six (6) out of seven (7) poles tested. Among these, two (2) handholes remained intact due to the low stress range applied during cyclic testing. The test was automatically terminated by the MTS STS software when the internal cycle counter surpassed 20,000,000 cycles. “<xref ref-type="table" rid="table3">
      Table 3
     </xref>” presents the experimental outcomes, arranged in ascending order based on stress range, alongside corresponding failure modes or notes. “<xref ref-type="fig" rid="fig12">
      Figure 12
     </xref>” depicts the results plotted against classifications given in the Aluminum Design Manual, with the data presented on a log-log scale. In the figure, black dots represent 8-inch data points, while orange, green, and yellow lines correspond to detail classifications C, D, and E from the Aluminum Design Manual <xref ref-type="bibr" rid="scirp.134243-30">
      [30]
     </xref>.</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.134243-"></xref>Table 3. 8-inch cyclic fatigue test reinforced handhole results.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td aleft" width="17.42%"><p style="text-align:left">Stress Range (Mpa)</p></td> 
       <td class="custom-bottom-td aleft" width="11.17%"><p style="text-align:left">Specimen #</p></td> 
       <td class="custom-bottom-td aleft" width="14.81%"><p style="text-align:left">Handhole Label</p></td> 
       <td class="custom-bottom-td aleft" width="11.91%"><p style="text-align:left">Cycle Count</p></td> 
       <td class="custom-bottom-td aleft" width="13.51%"><p style="text-align:left">Failure Mode #</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="custom-top-td aleft" width="17.42%"><p style="text-align:left">17.86</p></td> 
       <td rowspan="2" class="custom-top-td aleft" width="11.17%"><p style="text-align:left">6</p></td> 
       <td class="custom-top-td aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="custom-top-td aleft" width="11.91%"><p style="text-align:left">Cycle Out</p></td> 
       <td class="custom-top-td aleft" width="13.51%"><p style="text-align:left">N/A</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">Cycle Out</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">N/A</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">24.75</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">5</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">7,403,758</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">3,418,453</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">31.03</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">4</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">3,182,311</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">2,102,129</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">38.20</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">3</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">1,386,613</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">980,523</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">44.33</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">2</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">476,946</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">760,440</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">50.95</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">1</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">410,495</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">173,055</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">1</p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="aleft" width="17.42%"><p style="text-align:left">62.68</p></td> 
       <td rowspan="2" class="aleft" width="11.17%"><p style="text-align:left">7</p></td> 
       <td class="aleft" width="14.81%"><p style="text-align:left">A</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">109,194</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
      <tr> 
       <td class="aleft" width="14.81%"><p style="text-align:left">B</p></td> 
       <td class="aleft" width="11.91%"><p style="text-align:left">79,489</p></td> 
       <td class="aleft" width="13.51%"><p style="text-align:left">2</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <fig id="fig12" position="float">
     <label>Figure 12</label>
     <caption>
      <title>Figure 12. 8-inch cyclic fatigue test reinforced handhole results plotted against detail classifications.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId24.jpeg?20240628040521" />
    </fig>
   </sec>
   <sec id="s3_2">
    <title>3.2. Finite Element Analysis</title>
    <p>The FEA models are illustrated in “<xref ref-type="fig" rid="figFigures 13-15">
      Figures 13-15
     </xref>”, each focusing directly on the handhole, which serves as the central point of the study. “<xref ref-type="fig" rid="fig13">
      Figure 13
     </xref>” depicts the longitudinal local stress field, aligned with the major axis of the experiments, while “<xref ref-type="fig" rid="fig14">
      Figure 14
     </xref>” depicts the transverse local stress field, aligned with the minor axis. “<xref ref-type="fig" rid="fig15">
      Figure 15
     </xref>” depicts the local shear stress field around the handhole. In each figure, the color scale depicts how stresses accumulate around the reinforced handhole, with warmer colors indicating tension and cooler colors indicating compression, with variations in between.</p>
    <fig id="fig13" position="float">
     <label>Figure 13</label>
     <caption>
      <title>Figure 13. Longitudinal (major axis) local stress field.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId25.jpeg?20240628040522" />
    </fig>
    <fig id="fig14" position="float">
     <label>Figure 14</label>
     <caption>
      <title>Figure 14. Transverse (minor axis) local stress field.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId26.jpeg?20240628040522" />
    </fig>
    <fig id="fig15" position="float">
     <label>Figure 15</label>
     <caption>
      <title>Figure 15. Local shear stress field.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId27.jpeg?20240628040521" />
    </fig>
   </sec>
   <sec id="s3_3">
    <title>3.3. Statistical Analysis</title>
    <p>The power regression statistical analysis of the 8-inch and 10-inch specimens is depicted in “<xref ref-type="fig" rid="fig16">
      Figure 16
     </xref>” and “<xref ref-type="fig" rid="fig17">
      Figure 17
     </xref>”. These plots were generated by fitting a power trend line to experimental data within each size category (8-inch and 10-inch), yielding an equation. This equation allows determination of stress range values for any cycle count between 100 and 20,000,000 cycles. Each analysis includes the data points, power trend line derived from experimental data, and the corresponding equation the trend lines represent.</p>
    <fig id="fig16" position="float">
     <label>Figure 16</label>
     <caption>
      <title>Figure 16. 8-inch diameter specimens power regression statistical analysis.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId28.jpeg?20240628040522" />
    </fig>
    <fig id="fig17" position="float">
     <label>Figure 17</label>
     <caption>
      <title>Figure 17. 10-inch diameter specimens power regression statistical analysis.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId29.jpeg?20240628040522" />
    </fig>
   </sec>
   <sec id="s3_4">
    <title>3.4. Comparison Analysis</title>
    <p>The S-N fatigue data for the 8-inch reinforced handholes was plotted alongside the fatigue data for 10-inch handholes from the study conducted by Schlatter <xref ref-type="bibr" rid="scirp.134243-16">
      [16]
     </xref>, as depicted in “<xref ref-type="fig" rid="fig18">
      Figure 18
     </xref>”. The formatting mirrors that of “<xref ref-type="fig" rid="fig12">
      Figure 12
     </xref>”, with the addition of blue markings indicating the 10-inch dataset. Trendlines were incorporated for both datasets to facilitate comparison.</p>
    <fig id="fig18" position="float">
     <label>Figure 18</label>
     <caption>
      <title>Figure 18. Comparison analysis with 8-inch data plotted with 10-inch data.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1881912-rId30.jpeg?20240628040522" />
    </fig>
   </sec>
  </sec><sec id="s4">
   <title>4. Summary and Discussion</title>
   <p>Cyclic fatigue tests were performed on seven (7) different specimens, each containing 2 reinforced handholes. The study involved two distinct failure modes, plotted S-N curves, finite element analysis (FEA), statistical analysis, and comparison analysis based on the test outcomes. The key findings and observations derived from the testing procedures and subsequent analyses are summarized as follows:</p>
  </sec><sec id="s5">
   <title>5. Conclusions</title>
   <p>The results of the seven (7) experiments on 8-inch diameter aluminum light poles containing handholes reveal that these handholes are critical areas susceptible to failure within the overall structure. Finite Element Analysis (FEA) corroborated the experimental findings by pinpointing heightened stresses at the location of failure. The 8-inch diameter specimens exhibited a fatigue life that was on average 30.7% longer than the 10-inch diameter counterparts. FEA findings further confirmed heightened stress concentrations around the handhole and its reinforcement. There was a point of “infinite fatigue life” identified between the 24.75 and 17.86 MPa stress ranges. Extrapolation from the statistical analysis showed that this point of infinite fatigue appears to align closely with the 20.00 Mpa stress range. Further experimentation could refine the determination of this threshold. Based on the findings, the research team recommends a fatigue detail classification of D from the ADM when designing and analyzing 8-inch diameter aluminum light poles containing handholes.</p>
   <p>Future experimental studies could explore the nuances of various aspect ratios found in handholes, such as a rectangular design measuring 5-inch by 4-inch. Additionally, an avenue for further investigation would involve integrating the light pole base into the testing protocol. While previous research has examined each component separately (handholes <xref ref-type="bibr" rid="scirp.134243-15">
     [15]
    </xref>-<xref ref-type="bibr" rid="scirp.134243-21">
     [21]
    </xref> and pole bases <xref ref-type="bibr" rid="scirp.134243-40">
     [40]
    </xref>), there remains an untapped opportunity to examine their combined effects. Such a study could elucidate which welded aspect of light pole design is more susceptible to failure.</p>
  </sec><sec id="s6">
   <title>Author Contributions</title>
   <p>The work presented in this paper was a part of the master’s thesis work <xref ref-type="bibr" rid="scirp.134243-20">
     [20]
    </xref> of now Dr. Cameron R. Rusnak. He oversaw the project and tasks included the oversight of testing, finite element analysis and data processing. Aya Al-Hamami aided in the analysis procedures and writing. Dr. Craig Menzemer secured funding and served as the project advisor.</p>
  </sec><sec id="s7">
   <title>Funding</title>
   <p>This research received financial support from Hapco Pole Products. The opinions, findings, and conclusions presented in this paper are solely those of the authors and do not represent the views of the sponsor.</p>
  </sec>
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