<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<?xml-stylesheet type="text/xsl" href="../../../styles/reactor.xsl" ?>
<!DOCTYPE TEI.2 SYSTEM "../../../dtds/teixlite.dtd" [
<!ENTITY % MurNBingredients000051 SYSTEM "MurNBingredients000051.ent" >
%MurNBingredients000051;
]>

<TEI.2 id="MurNBingredients000051">
<teiHeader>
<fileDesc>

<titleStmt>
<title type="245">Memorandum from R.  L. Murray to Dr. Clifford K. Beck</title>
<title type="gmd">Machine readable transcription</title>
<author>Murray, R. L.</author>
<respStmt>
<resp>Creation of machine-readable version:</resp>
<name>Russell S. Koonts</name>
<resp>Creation of digital images:</resp>
<name>Russell S. Koonts</name>
<resp>Conversion to TEI.2-conformant markup:</resp>
<name>Russell S. Koonts</name>
</respStmt>
</titleStmt>

<extent>ca. 9 kilobytes</extent>

<publicationStmt>
<publisher>NCSU Libraries</publisher>
<pubPlace>Raleigh, NC</pubPlace>
<idno type="ETC"> Modern English, MurNBingredients000051</idno>
<availability>
<p>Available from: NC State University Archives</p>
<p>Publicly-accessible</p>
<p n="public">URL: http://www.lib.ncsu.edu/archives/etext/engineering/reactor/murray/</p>
</availability>
<date>20 October, 2000</date>
</publicationStmt>

<seriesStmt>
<p>Nuclear Reactor Digitization Project</p>
<p>R. L. Murray Reactor Project Notebook</p>
</seriesStmt>

<notesStmt>
<note>Illustrations have been included from the print version.</note>
<note>Scanned by Russell Koonts with Photoshop 5.0 software.</note>
</notesStmt>

<sourceDesc>
<biblFull>
<titleStmt>
<title>Memorandum from R.  L. Murray to Dr. Clifford K. Beck</title>
<author>A. C. Menius, Jr.</author>
<author>R. L. Murray</author>
<respStmt>
<resp></resp>
<name></name>
</respStmt>
</titleStmt>
<editionStmt>
<p></p>
</editionStmt>
<extent>2 pp.</extent>
<publicationStmt>
<publisher></publisher>
<pubPlace></pubPlace>
<date></date>
<idno>Manuscript copy consulted UA 105.16</idno>
</publicationStmt>
<seriesStmt>
<p></p>
</seriesStmt>
<notesStmt>
<note></note>
</notesStmt>
</biblFull>
</sourceDesc>
</fileDesc>

<encodingDesc>
<projectDesc>
<p>Prepared for the North Carolina State University Science and Technology Electronic Text Center</p>
</projectDesc>
<editorialDecl>
<p>The lineation of the manuscript has been maintained and all end-of-line hyphens have been preserved.</p>
<p>Keywords in the header are a local Science and Technology Electronic Text Center scheme to aid in establishing analytical groupings.</p>
</editorialDecl>
<refsDecl>
<p> </p>
</refsDecl>
<classDecl>
<taxonomy>
<bibl>
<title>Library of Congress Subject Headings</title>
</bibl>
</taxonomy>
</classDecl>
</encodingDesc>
<profileDesc>
<creation>
<date>1951</date>
</creation>
<langUsage>
<language id="en">English</language>
</langUsage>
<textClass>
<keywords>
<term></term>
</keywords>
<keywords>
<term>LCSH</term>
</keywords>
<keywords>
<term id="visual-work">manuscript</term>
<term id="format">24-bit color: 400 dpi</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<text id="MurNBingredients000051T">

<front><div1 type="summary" n="1">
<head><hi rend="bold"><hi rend="center">Memorandum from R.  L. Murray to Dr. Clifford K. Beck</hi><lb/>
<bibl><abbr>Typescript</abbr><lb/> <extent>2 pp.</extent> <lb/><date value="1951-xx-xx">1951</date><lb/> <idno rend="suppress">MurNBingredients000051</idno></bibl></hi></head>
<p>

</p>
</div1>
</front>

<body>
<pb n=""/>
<p><seg><xref id="reactorlg/MurNBingredients000051a.jpg" rend="new">
<figure entity="MurNBingredients000051a"></figure></xref></seg></p>

<div1 type="memorandum" n="1">
<head>SHIELDING<lb/><hi rend="italics">7794<lb/><hi rend="strike">7294</hi></hi></head>
<opener>TO: <name type="person">Dr. Clifford K. Beck</name><lb/>
FROM: <name type="person">R. L. Murray</name><lb/>
CC: <name type="person">A. C. Menius</name>, <name type="person">Newton Underwood</name>
</opener>

<p>This note answers your request for calculations on the heavy concrete.</p>
<p>The composition of Barytes mix, according to the Carbide purchasing agent<ptr target="a"/> is,<lb/>
per yd<hi rend="sup">3</hi>,
<list><item><table>
<row>
<cell>Barytes</cell><cell>3970 lb<ptr target="a1"/></cell><cell><hi rend="italics">72.0</hi></cell>
</row>
<row>
<cell>Colemanite</cell><cell>400 lb</cell><cell><hi rend="italics">7.3</hi></cell>
</row>
<row>
<cell>Portland cement</cell><cell>830 lb</cell><cell><hi rend="italics">15.1</hi></cell>
</row>
<row>
<cell>Water</cell><cell><hi rend="underline">310</hi> lb (37.5 gallons)</cell><cell><hi rend="underline"><hi rend="italics">5.6</hi></hi></cell>
</row>
<row>
<cell>Total mix</cell><cell>5510 lb</cell><cell><hi rend="italics">100.0</hi></cell>
</row>
</table></item></list>
</p>
<p>Since the Colemanite consists of<lb/>
<list><item><table>
<row>
<cell>B<hi rend="sub">2</hi>O<hi rend="sub">3</hi></cell><cell>44&#x0025;</cell>
</row>
<row>
<cell>CaO</cell><cell>27&#x0025;</cell>
</row>
<row>
<cell>H<hi rend="sub">2</hi>O</cell><cell>28&#x0025;</cell>
</row>
</table></item></list>
</p>
<p>The boron content at the final mix is almost exactly 1&#x0025;, as computed below:<lb/>
<seg rend='left'><figure entity="MurNBingredients000051form1"></figure></seg><hi rend='suppress'><formula notation='mathml'>
<!--
<m:math xmlns='http://www.w3.org/1998/Math/MathML' xmlns:m='http://www.w3.org/1998/Math/MathML' >
  <mrow>
    <mrow fontstyle='normal'>
      <mfrac>
        <mrow>
          <mn>2</mn>
          <mrow>
            <mo>(</mo>
            <mn>10.8</mn>
            <mo>)</mo>
          </mrow>
        </mrow>
        <mrow>
          <mn>2</mn>
          <mrow>
            <mo>(</mo>
            <mn>1</mn>
            <mn>0</mn>
            <mn>.</mn>
            <mn>8</mn>
            <mo>)</mo>
            <mo>+</mo>
            <mn>3</mn>
            <mrow>
              <mo>(</mo>
              <mn>1</mn>
              <mn>6</mn>
              <mo>)</mo>
            </mrow>
          </mrow>
        </mrow>
      </mfrac>
      <mi>&thinsp;</mi>
      <mi>&thinsp;</mi>
      <mfrac>
        <mrow>
          <mrow>
            <mo>(</mo>
            <mi>B</mi>
            <mo>/</mo>
            <mi>m</mi>
            <mi>o</mi>
            <mi>l</mi>
            <mi>e</mi>
            <mo>)</mo>
          </mrow>
        </mrow>
        <mrow>
          <mrow>
            <mo>(</mo>
            <msub>
              <mrow>
                <mi>B</mi>
              </mrow>
              <mrow>
                <mn>2</mn>
              </mrow>
            </msub>
            <msub>
              <mrow>
                <mi>O</mi>
              </mrow>
              <mrow>
                <mn>3</mn>
              </mrow>
            </msub>
            <mo>/</mo>
            <mi>m</mi>
            <mi>o</mi>
            <mi>l</mi>
            <mi>e</mi>
            <mo>)</mo>
          </mrow>
        </mrow>
      </mfrac>
      <mo>*</mo>
      <mrow>
        <mo>(</mo>
        <mn>0</mn>
        <mn>.</mn>
        <mn>4</mn>
        <mn>4</mn>
        <mo>)</mo>
        <mrow>
          <mo>(</mo>
          <mfrac>
            <mrow>
              <msub>
                <mrow>
                  <mi>B</mi>
                </mrow>
                <mrow>
                  <mn>2</mn>
                </mrow>
              </msub>
              <msub>
                <mrow>
                  <mi>O</mi>
                </mrow>
                <mrow>
                  <mn>3</mn>
                </mrow>
              </msub>
            </mrow>
            <mrow>
              <mi>Colemanite</mi>
            </mrow>
          </mfrac>
          <mo>)</mo>
          <mi>&thinsp;</mi>
          <mfrac>
            <mrow>
              <mn>4</mn>
              <mn>0</mn>
              <mn>0</mn>
            </mrow>
            <mrow>
              <mn>5</mn>
              <mn>5</mn>
              <mn>1</mn>
              <mn>0</mn>
            </mrow>
          </mfrac>
          <mfrac>
            <mrow>
              <mrow>
                <mo>(</mo>
                <mi>C</mi>
                <mi>o</mi>
                <mi>l</mi>
                <mi>e</mi>
                <mi>m</mi>
                <mi>a</mi>
                <mi>n</mi>
                <mi>i</mi>
                <mi>t</mi>
                <mi>e</mi>
                <mo>)</mo>
              </mrow>
            </mrow>
            <mrow>
              <mrow>
                <mo>(</mo>
                <mi>t</mi>
                <mi>o</mi>
                <mi>t</mi>
                <mi>a</mi>
                <mi>l</mi>
                <mi>&thinsp;</mi>
                <mi>m</mi>
                <mi>i</mi>
                <mi>x</mi>
                <mo>)</mo>
              </mrow>
            </mrow>
          </mfrac>
          <mo>=</mo>
          <mn>0</mn>
          <mn>.</mn>
          <mn>0</mn>
          <mn>0</mn>
          <mn>9</mn>
          <mn>9</mn>
        </mrow>
      </mrow>
    </mrow>
  </mrow>
</m:math>
-->
</formula></hi>
</p>
<p>The density of the concrete is <seg rend='left'><figure entity="MurNBingredients000051form2"></figure></seg>
<hi rend='suppress'><formula notation='mathml'>
<!--
<m:math xmlns='http://www.w3.org/1998/Math/MathML' xmlns:m='http://www.w3.org/1998/Math/MathML' >
  <mrow>
    <mrow fontstyle='normal'>
      <mfrac>
        <mrow>
          <mn>5</mn>
          <mn>5</mn>
          <mn>1</mn>
          <mn>0</mn>
        </mrow>
        <mrow>
          <mn>2</mn>
          <mn>7</mn>
        </mrow>
      </mfrac>
      <mfrac>
        <mrow>
          <mrow>
            <mrow>
              <mo>(</mo>
              <mi>l</mi>
              <mi>b</mi>
              <mi>s</mi>
              <mo>)</mo>
            </mrow>
          </mrow>
        </mrow>
        <mrow>
          <mrow>
            <mo>(</mo>
            <msup>
              <mrow>
                <mi>f</mi>
                <mi>t</mi>
              </mrow>
              <mrow>
                <mn>3</mn>
              </mrow>
            </msup>
            <mo>/</mo>
            <msup>
              <mrow>
                <mi>y</mi>
                <mi>d</mi>
              </mrow>
              <mrow>
                <mn>3</mn>
              </mrow>
            </msup>
            <mo>)</mo>
          </mrow>
        </mrow>
      </mfrac>
      <mi>&thinsp;</mi>
      <mo>=</mo>
      <mi>&thinsp;</mi>
      <mn>2</mn>
      <mn>0</mn>
      <mn>4</mn>
      <mi>&thinsp;</mi>
      <mi>l</mi>
      <mi>b</mi>
      <mo>/</mo>
      <msup>
        <mrow>
          <mi>f</mi>
          <mi>t</mi>
        </mrow>
        <mrow>
          <mn>3</mn>
        </mrow>
      </msup>
    </mrow>
  </mrow>
</m:math>
-->
</formula></hi>

<lb/>
or its specific gravity is <seg rend='left'><figure entity="MurNBingredients000051form3"></figure></seg>

<hi rend='suppress'><formula notation='mathml'>
<!--
<m:math xmlns='http://www.w3.org/1998/Math/MathML' xmlns:m='http://www.w3.org/1998/Math/MathML' >
  <mrow>
    <mrow fontstyle='normal'>
      <mfrac>
        <mrow>
          <mn>2</mn>
          <mn>0</mn>
          <mn>4</mn>
          <mrow>
            <mo>(</mo>
            <mi>l</mi>
            <mi>b</mi>
            <mo>/</mo>
            <msup>
              <mrow>
                <mi>f</mi>
                <mi>t</mi>
              </mrow>
              <mrow>
                <mn>3</mn>
              </mrow>
            </msup>
            <mo>)</mo>
          </mrow>
        </mrow>
        <mrow>
          <mn>6</mn>
          <mn>2</mn>
          <mn>.</mn>
          <mn>4</mn>
          <mrow>
            <mo>(</mo>
            <mi>l</mi>
            <mi>b</mi>
            <mo>/</mo>
            <msup>
              <mrow>
                <mi>f</mi>
                <mi>t</mi>
              </mrow>
              <mrow>
                <mn>3</mn>
              </mrow>
            </msup>
            <mo>)</mo>
          </mrow>
        </mrow>
      </mfrac>
      <mo>=</mo>
      <mi>&thinsp;</mi>
      <mn>3</mn>
      <mn>.</mn>
      <mn>3</mn>
      <mn>6</mn>
    </mrow>
  </mrow>
</m:math>
-->
</formula></hi>
</p>
<p>The ORNL figures for this concrete are 1&#x0025; Boron, 3.5 specific gravity. The<lb/>
neutron flux data show that in a 6 foot shield, the attenuation with the 1&#x0025; B<lb/>
concrete is 100 times that for Barytes without B.
</p>
<p>The minimum cost figures quoted by CCC&amp;D are<lb/>
<list><item><table>
<row><cell>Barytes aggregate $20/ton</cell><cell>Estimated shipping cost $4/ton<ptr target="b"/></cell></row>          
<row><cell>Colemanite $60/ton</cell><cell>Estimated shipping cost $15/ton<ptr target="c"/></cell></row>
</table></item></list>
</p>
<pb n=""/>
<p><seg><xref id="reactorlg/MurNBingredients000051b.jpg" rend="new">
<figure entity="MurNBingredients000051b"></figure></xref></seg></p>

<p>The fractions of each in the mix are Barytes 3970/5510 = 0.72, Colemanite 400/5510 = 0.072.<lb/>
Assuming a figure of $16 a ton for Portland Cement<ptr target="d"/>, with 830/5510 = 0.15 required,<lb/> 
the cost is<lb/>
[(0.72)(24) + 0.072(75) + (0.15)(18)] 5510/2000 = $70/yd<hi rend="sup">3</hi>
</p>

<p>A good estimate for the volume of concrete in the shield<ptr target="e"/> is 107 yd<hi rend="sup">3</hi>, so that the<lb/>
cost would be ($70)(107)= $7500. Of this, the critical item so far as shipping<lb/>
(from <name type="place">California</name>) is the 21.4 tons of Colemanite. However, it only constitutes<lb/>
7.2&#x0025; of the mix, and 20&#x0025; of the cost, so it would probably be worth the <orig reg="investment">invest-<lb/>
ment</orig> to achieve the full degree of shielding, rather than using an inner lining<lb/>
of the Boron cement. Special forms might be needed also, which would run up<lb/>
the construction cost.  The cost estimates for a 4 ft inside lining corresponding<lb/>
to 1440 ft<hi rend="sup">3</hi> = 53 yd<hi rend="sup">3</hi> are computed for consideration, anyway. This is half the<lb/>
reactor volume. Substituting Barytes for Colemanite would reduce the yd<hi rend="sup">3</hi> cost to<lb/>
only $65 and the total concrete to $7000.
</p>
</div1>
</body>
<back>
<div1 type="notes" n="">
<anchor id="a"/><p>Letter of <date value="1951-02-23"><abbr expan="February">Feb.</abbr> 23, 1951</date> - <name type="person">R. N. Reams</name> to <name type="person">C. K. Beck</name></p>
<anchor id="b"/><p>Based on <name type="person">Mr. Stainback</name>'s figures on <name type="place"><abbr expan="West Virginia">W. Va.</abbr></name> coal shipping</p>
<anchor id="c"/><p>Freight agent, <name type="corporate">Seaboard Railway</name></p>
<anchor id="a1"/><p><table>
<row>
<cell><hi rend="italics">Barytes:</hi></cell><cell><hi rend="italics">Ba 41.9&#x0025;</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">O 31</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">S 9.9</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">Fe 8.7</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">Co 4.5</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">Si 1.7</hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics"><hi rend="underline">other 3.3</hi></hi></cell>
</row>
<row>
<cell></cell><cell><hi rend="italics">100</hi></cell>
</row>
</table></p>

<anchor id="d"/><p>Quoted by <name type="corporate">N. C. State Products Corp.</name></p>
<anchor id="e"/><p><table>
<row>
<cell><seg><xref id="reactorlg/MurNBingredients000051ba.jpg" rend="new">
<figure entity="MurNBingredients000051ba"></figure></xref></seg><lb/><hi rend="italics">Assume top slab = hole inside</hi></cell><cell><hi rend="italics">V= 17x17x10 = 2890 ft<hi rend="sup">3</hi>=107 yd<hi rend="sup">3</hi></hi></cell>
</row>
</table></p>

</div1>
</back>
</text>
</TEI.2>