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  66.  
  67.  
  68. <title>WeBWorK : Winter201920-Engr220-002003 : HW16 : 5
  69. </title>
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  91. Logged in as dql001.<a href="/webwork2/Winter201920-Engr220-002003/logout/?effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;user=dql001">Log Out</a>
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  108. <ul><li class="nav-header"><h2>Main Menu</h2></li><li><a href="/webwork2/">Courses</a></li><li><a href="/webwork2/Winter201920-Engr220-002003/?key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;effectiveUser=dql001&amp;user=dql001">Homework Sets</a></li><li><ul><li><a href="/webwork2/Winter201920-Engr220-002003/HW16/?user=dql001&amp;effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy">HW16</a></li><li><ul><li><a class="active" href="/webwork2/Winter201920-Engr220-002003/HW16/5/?user=dql001&amp;effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy">Problem 5</a></li></ul></li></ul></li><li><a href="/webwork2/Winter201920-Engr220-002003/options/?key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;effectiveUser=dql001&amp;user=dql001">User Settings</a></li><li><a href="/webwork2/Winter201920-Engr220-002003/grades/?effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;user=dql001">Grades</a></li></ul>
  109. </div>
  110.  
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  113. <div id="siblings">
  114. <div class="info-box" id="fisheye"><h2>Problems</h2><ul class="problem-list"><div aria-label="progress bar for current problem set" class="progress-bar set-id-tooltip"><div aria-label="correct progress bar for current problem set" class="correct-progress set-id-tooltip" data-original-title="Correct: 4/5" data-placement="bottom" data-toggle="tooltip" style="width:80%" title="" /></div><div aria-label="in progress bar for current problem set" class="inprogress-progress set-id-tooltip" data-original-title="In progress: 1/5" data-placement="bottom" data-toggle="tooltip" style="width:20%" title="" /></div></div><li><a href="/webwork2/Winter201920-Engr220-002003/HW16/1/?user=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;effectiveUser=dql001">Problem 1 &#x2713;</a></li><li><a href="/webwork2/Winter201920-Engr220-002003/HW16/2/?key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;effectiveUser=dql001&amp;user=dql001">Problem 2 &#x2713;</a></li><li><a href="/webwork2/Winter201920-Engr220-002003/HW16/3/?user=dql001&amp;effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy">Problem 3 &#x2713;</a></li><li><a href="/webwork2/Winter201920-Engr220-002003/HW16/4/?user=dql001&amp;effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy">Problem 4 &#x2713;</a></li><li class="currentProblem"><a href="/webwork2/Winter201920-Engr220-002003/HW16/5/?effectiveUser=dql001&amp;key=kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy&amp;user=dql001">Problem 5 &hellip;</a></li></ul></div>
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  127. $('#site-navigation li').find('br').remove();
  128.  
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  137.  
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  139. <!-- Main Content Area -->
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  150.  
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  156. $('#toggle-sidebar').removeClass('btn-primary')
  157. </script>
  158.  
  159. <!-- Page Title -->
  160.  
  161. <div class="row-fluid"><div class="span12">
  162. <h1 id='page-title' class='page-title'>HW16: Problem 5</h1>
  163. </div></div>
  164.  
  165.  
  166.  
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  169. <!-- Question Navigation, e.g.: Prev, Up, Next for homeworks -->
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  172.  
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  179.  
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  187.  
  188. <!-- Header Text for problem -->
  189.  
  190.  
  191.  
  192.  
  193. <!-- ==============BEGIN BODY OF PROBLEM=============== -->
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  197.  
  198.  
  199. <div class="row-fluid">
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  204.  
  205.  
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  209.  
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  211.  
  212. </div><div class="span2"></div></div>
  213.  
  214.  
  215. <div class="row-fluid"><div id="output_summary" class="span10">
  216. <script type="text/javascript">addOnLoadEvent(function () {color_inputs([
  217.  
  218. ],[
  219. ]
  220. )});</script>
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  222.  
  223.  
  224.  
  225. <div class="row-fluid"><div id="output_achievement_message" class="span10">
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  227. </div><div class="span2"></div></div>
  228.  
  229.  
  230.  
  231. <div class="row-fluid"><div id="output_comments" class="span10">
  232.  
  233. </div><div class="span2"></div></div>
  234.  
  235.  
  236.  
  237.  
  238.  
  239.  
  240. <div class="row-fluid">
  241. <div class="span10">
  242. <form method="post" action="/webwork2/Winter201920-Engr220-002003/HW16/5/" enctype="multipart/form-data" id="problemMainForm" name="problemMainForm" onsubmit="submitAction()"><input type="hidden" name="user" value="dql001" id="hidden_user" /><input type="hidden" name="effectiveUser" value="dql001" id="hidden_effectiveUser" /><input type="hidden" name="key" value="kOXWOmkWG6VnwXbeEuJX266tkP6wP0zy" id="hidden_key" />
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  245.  
  246.  
  247.  
  248. <div class="problem">
  249.  
  250. <div id="problem_body" class="problem-content">
  251.  
  252. <div><script type="text/x-mathjax-config">
  253. MathJax.Hub.Config({
  254. MathMenu: {showContext: true}
  255. });
  256. </script>
  257. <script type="text/javascript">
  258. if(!window.MathJax)
  259. (function () {
  260. var script = document.createElement("script");
  261. script.type = "text/javascript";
  262. script.src = "/webwork2_files/mathjax/MathJax.js?config=TeX-MML-AM_HTMLorMML-full";
  263. document.getElementsByTagName("head")[0].appendChild(script);
  264. })();
  265. </script>
  266. <P style="margin: 0">(10 points) Difficulty (4/5)
  267. <P>
  268. <A HREF= "/webwork2_files/tmp/Winter201920-Engr220-002003/images/e6deaa6c-d641-398c-8759-f3cb5af4f7b7___a4050a78-ffbe-3263-8dd8-dec9883e7f63.png" TARGET="_blank"
  269. onclick="window.open(this.href,this.target, 'width=430,height=430,scrollbars=yes,resizable=on'); return false;">
  270. <IMG SRC="/webwork2_files/tmp/Winter201920-Engr220-002003/images/e6deaa6c-d641-398c-8759-f3cb5af4f7b7___a4050a78-ffbe-3263-8dd8-dec9883e7f63.png" WIDTH="455" HEIGHT="442" >
  271. </A>
  272.  
  273. <P>
  274. <B><I> Dimensions: </B></I><BR/>
  275. <TABLE BORDER='1' STYLE='text-align:center;'>
  276.  
  277. <TR>
  278. <TD><div align="center"><I> a </div></I></TD><TD><div align="center"><I> b </div></I></TD><TD><div align="center"><I> c </div></I></TD>
  279. </TR>
  280.  
  281. <TR>
  282. <TD><div align="center">&nbsp; 12 in &nbsp;</div></TD><TD><div align="center">&nbsp; 8 ft &nbsp;</div></TD><TD><div align="center">&nbsp; 3.7 ft &nbsp;</div></TD>
  283. </TR>
  284.  
  285. </TABLE>
  286.  
  287. <P>
  288. <B><I> Problem Statement: </B></I><BR/>
  289. A wooden deck is constructed to support a haystack as shown. The joists of the floor are to be made with dressed air-dry douglas fir lumber with nominal widths of 2 inches. You know that a 14"x18"x36" square bale of this kind of hay weighs 68 lb, and you are assuming the hay in the haystack has the same density as these square bales. (This is probably a conservative estimate, since the bales are probably denser than the stack in reality.) You would like to design the joists to have a factor of safety of 4.6 against yielding. Determine the following:
  290. <P>
  291. (a) The maximum value of the distributed load applied to one joist.<BR/>
  292. (b) The maximum bending moment experienced by one joist.<BR/>
  293. (c) The minimum required height <I> h </I> of the joists.<BR/>
  294. (d) The minimum required section modulus of the joists.<BR/>
  295. (e) The smallest standard lumber size acceptable to use for joists.
  296. <P>
  297. <B><I> Answers: </B></I><BR/>
  298. (a) <span class="MathJax_Preview">[math]</span><script type="math/tex">w_{max}</script> = <input type=text class="codeshard" size=10 name="AnSwEr0001" id="AnSwEr0001" aria-label="answer 1 " value="-47.92380952 lb/ft"/>
  299. <input type=hidden name="previous_AnSwEr0001" value="-47.92380952 lb/ft"/>
  300. <BR/>
  301. (b) <span class="MathJax_Preview">[math]</span><script type="math/tex">M_{max}</script> = <input type=text class="codeshard" size=10 name="AnSwEr0002" id="AnSwEr0002" aria-label="answer 2 " value="-1533.561905 lb&#42;ft"/>
  302. <input type=hidden name="previous_AnSwEr0002" value="-1533.561905 lb&#42;ft"/>
  303. <BR/>
  304. (c) <span class="MathJax_Preview">[math]</span><script type="math/tex">h_{min}</script> = <input type=text class="codeshard" size=10 name="AnSwEr0003" id="AnSwEr0003" aria-label="answer 3 " value=""/>
  305. <input type=hidden name="previous_AnSwEr0003" value=""/>
  306. <BR/>
  307. (d) <span class="MathJax_Preview">[math]</span><script type="math/tex">S_{min}</script> = <input type=text class="codeshard" size=10 name="AnSwEr0004" id="AnSwEr0004" aria-label="answer 4 " value=""/>
  308. <input type=hidden name="previous_AnSwEr0004" value=""/>
  309. <BR/>
  310. (e) Lumber Choice = <SELECT class="pg-select" NAME = "AnSwEr0005" id="AnSwEr0005" SIZE=1>
  311. <OPTION SELECTED VALUE ="" > </OPTION>
  312. <OPTION VALUE ="2x4" > 2x4 </OPTION>
  313. <OPTION VALUE ="2x6" > 2x6 </OPTION>
  314. <OPTION VALUE ="2x8" > 2x8 </OPTION>
  315. <OPTION VALUE ="2x10" > 2x10 </OPTION>
  316. <OPTION VALUE ="2x12" > 2x12 </OPTION>
  317. </SELECT>
  318.  
  319. <P>
  320. <I> be sure to include units with your answers </I>
  321.  
  322.  
  323. </div>
  324. </div>
  325.  
  326.  
  327. <p><b>Note: </b><i>You can earn partial credit on this problem.</i></p>
  328.  
  329.  
  330.  
  331.  
  332. </div>
  333.  
  334.  
  335.  
  336. <p>
  337.  
  338.  
  339.  
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  342.  
  343. </p>
  344.  
  345.  
  346. <div id="score_summary" class="scoreSummary">
  347. <p>You have attempted this problem 5 times.<br />Your overall recorded score is 0%. <br />You have unlimited attempts remaining.</p>
  348. </div>
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  366.  
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  370.  
  371.  
  372.  
  373.  
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  394.  
  395. <!-- BEGIN WeBWorK::ContentGenerator::message -->
  396. <!-- END WeBWorK::ContentGenerator::message -->
  397.  
  398. </div>
  399.  
  400.  
  401. </div><!--content-->
  402.  
  403.  
  404. <!-- Bootstrap Fluid Layout Scaffolding stop -->
  405. </div> <!-- row-fluid -->
  406. </div> <!-- container-fluid -->
  407.  
  408.  
  409. <!-- Footer -->
  410. <div id="footer" role="contentinfo">
  411. <div id="last-modified">Page generated at 01/27/2020 at 10:33pm CST</div><div id="copyright">WeBWorK &#169; 1996-2017| theme: math4 | ww_version: WeBWorK-2.13 | pg_version PG-2.13| <a href="http://webwork.maa.org/">The WeBWorK Project</a></div>
  412. </div>
  413.  
  414. </body>
  415. </html>
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