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\def\leftmark{Reserve Problems}
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<publisherInfo>
<publisherName>John Wiley &amp; Sons, Inc.</publisherName>
<publisherLoc>Hoboken, NJ, USA</publisherLoc>
</publisherInfo>
<isbn type="printCloth-13">9781118012895</isbn>
<idGroup>
<id type="publisherDivision" value="GE"/>
</idGroup>
<titleGroup><title sort="FUNDAMENTALS OF MACHINE COMPONENT DESIGN" type="main">FUNDAMENTALS OF MACHINE COMPONENT DESIGN</title></titleGroup>
<copyright ownership="publisher">Copyright &copy; 2012, 2006 John Wiley &amp; Sons, Inc. All rights reserved.</copyright>
<numberingGroup>
<numbering number="5" type="edition">Fifth Edition</numbering>
</numberingGroup>
<creators><creator creatorRole="author" xml:id="c02-cr-0001"><personName><givenNames>ROBERT C.</givenNames> <familyName>JUVINALL</familyName></personName></creator><creator creatorRole="author" xml:id="c02-cr-0002"><personName><givenNames>KURT M.</givenNames> <familyName>MARSHEK</familyName></personName></creator></creators>
<subjectInfo>
<subject href="http://psi.wiley.com/subject/ME10">Mechanical Engineering &hyphen; Design</subject>
</subjectInfo>
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<!-- <publicationMeta level="part"> -->
<!-- <titleGroup><title type="name" lwtype="partmark">PART</title><title sort="FUNDAMENTALS" type="main">Fundamentals</title></titleGroup> -->
<!-- <numberingGroup> -->
<!-- <numbering type="main">1</numbering> -->
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<event agent="Laserwords" date="2014-04-21" type="xmlCreated"/>
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<event agent="Laserwords" date="2014-05-19" type="xmlCorrected"/>
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<numberingGroup>
<numbering type="main">5</numbering>
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<objectNameGroup>
<objectName elementName="feature">SAMPLE PROBLEM</objectName>
<objectName elementName="figure">FIGURE P</objectName>
<objectName elementName="feature" displayTitle="no">DESIGN STUDY</objectName>
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<contentMeta>
<titleGroup><title sort="ELASTIC STRAIN, DEFLECTION, AND STABILITY" type="main">Chapter 2 Reserve Problems</title></titleGroup>
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<body sectionsNumbered="yes" xml:id="c02-body-0001"><exerciseSection numbered="no" xml:id="c02-exsec-0013" lwtype="problem"><?xmltex \pgtag{\def\itemwd{RP2.17}\def\sitemwd{\textbf{(b)}}}?><?xmltex \pgtag{\ProbHdfollowedPBHI}?><exerciseSection numbered="no" xml:id="c02-exsec-0014"><exercise xml:id="c02-ex-0026"><question><p>The drawing (Figure RP<link href="c02-fig-0026"/>) shows an exploded view of an 1800&hyphen;rpm motor, a gear box, and a 6000&hyphen;rpm blower. The gear box weighs 20<?xmltex \uns?>lb, with center of gravity midway between the two mountings. All shafts rotate counterclockwise, viewed from the blower. Neglecting friction losses, determine all loads acting on the gear box when the motor output is 1 hp. Sketch the gear box as a free body in equilibrium.</p><?xmltex \pgtag{\vspace*{9pt}}?>
<?xmltex \OrgFixedPosition{c02-fig-0026}?>
<figure resumeNumberingAt="1" xml:id="c02-fig-0026"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p016" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p016"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\figbotskip=1pc\figtopskip=1pc\putfigure{1}{c02_RP/c02rp001.eps}{}{}{}{}\egroup}?></figure>
</question>
</exercise>
<exercise xml:id="c02-ex-0032"><question><p>The drawing (Figure RP<link href="c02-fig-0029"/>) shows an electric fan supported by mountings at <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>A</mi></mrow></math> and <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>B</mi></mrow></math>. The motor delivers a torque of <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mn>2</mn><mi>&nbsp;</mi><mi mathvariant="normal">N</mi><mo>&middot;</mo><mi mathvariant="normal">m</mi></mrow></math> to the fan blades. They, in turn, push the air forward with a force of 20<?xmltex \pgtag{\nobreak}?> N. Neglecting gravity forces, determine all loads acting on the fan (complete assembly). Sketch it as a free body in equilibrium.</p>
<?xmltex \pgtag{\vfill\eject}?>
<?xmltex \OrgFixedPosition{c02-fig-0029}?>
<figure resumeNumberingAt="2" xml:id="c02-fig-0029"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p022" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p022"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\putfigure{2}{c02_RP/c02rp002.eps}{}{}{}{}\egroup}?></figure>
</question><?xmltex \pgtag{\vspace*{4pt}}?>
</exercise>
<exercise answerPlace="here" onlineAnswerPlace="button" xml:id="c02-ex-0036"><question><p>Figure RP<link href="c02-fig-0031"/> shows an exploded view of an airplane engine, reduction gear, and propeller. The engine and propeller rotate clockwise, viewed from the propeller end. The reduction gear housing is bolted to the engine housing through the bolt holes shown. Neglect friction losses in the reduction gear. When the engine develops 150 hp at 3600<?xmltex \pgtag{\nobreak}?> <?xmltex \pgtag{\hbox\bgroup}?>rpm,<?xmltex \pgtag{\egroup}?></p>
<p>
<?xmltex \pgtag{\def\itemwd{(a)}}?>
<list compact="no" style="a" xml:id="c02-list-1003"><listItem>What is the direction and magnitude of the torque applied <i>to</i> the engine housing <i>by</i> the reduction gear housing?</listItem>
<listItem>What is the magnitude and direction of the torque reaction tending to rotate (roll) the aircraft?</listItem>
<listItem>What is an advantage of using opposite&hyphen;rotating engines with twin&hyphen;engine, propeller&hyphen;driven aircraft?</listItem>
</list>
</p>
<?xmltex \pgtag{\vspace*{-4pt}}?>
<?xmltex \OrgFixedPosition{c02-fig-0031}?>
<figure resumeNumberingAt="3" xml:id="c02-fig-0031"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p026" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p026"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\putfigure{3}{c02_RP/c02rp003.eps}{}{}{}{}\egroup}?></figure><?xmltex \pgtag{\vspace*{-5pt}}?>
</question>
<answer><p>[Ans.: (a) 109<?xmltex \uns?>lb&middot;ft ccw, (b) 328<?xmltex \uns?>lb&middot;ft ccw]<?xmltex \pgtag{\vspace*{-10pt}}?></p></answer><?xmltex \pgtag{\vspace*{-2pt}}?>
</exercise>
<exercise xml:id="c02-ex-0042"><exerciseParts>
<p>The drawing (Figure RP<link href="c02-fig-0034"/>) represents a bicycle with an 800&hyphen;N rider applying full weight to one pedal. Treat this as a two&hyphen;dimensional problem, with all components in the plane of the paper. Draw as free bodies in equilibrium</p><?xmltex \pgtag{\vspace*{30pt}}?>
<?xmltex \OrgFixedPosition{c02-fig-0034}?>
<figure xml:id="c02-fig-0034"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p032" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p032"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\CenteredCaptiontrue\figtopskip=-2.3pc\figbotskip=0.1pc\putfigure{4}{c02_RP/c02rp004.eps}{}{}{}{}\egroup}?></figure>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(a)}}{\LL}}?>
<exercise xml:id="c02-ex-0084"><question><p>The pedal, crank, and pedal sprocket assembly.</p></question>
</exercise>
<exercise xml:id="c02-ex-0085"><question><p>The rear wheel and sprocket assembly.</p></question>
</exercise>
<exercise xml:id="c02-ex-0086"><question><p>The front wheel.</p></question>
</exercise>
<exercise xml:id="c02-ex-0087"><question><p>The entire bicycle and rider assembly.</p></question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
<exercise xml:id="c02-ex-0050"><exerciseParts>
<p>The drawings (Figure RP<link href="c02-fig-0039"/>) pertain to a spur gear reducer. A motor applies a torque of <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mn>200</mn><mi>&nbsp;</mi><mi mathvariant="normal">lb</mi><mo>&middot;</mo><mi mathvariant="normal">ft</mi></mrow></math> to the pinion shaft, as shown. The gear shaft drives the output load. Both shafts are connected with flexible couplings (which transmit only torque). The gears are mounted on their shafts midway between the bearings. The reducer is supported by four identical mountings on the side of the housing, symmetrically spaced on 6&hyphen;in. and 8&hyphen;in. centers, as shown. For simplicity, neglect gravity<?xmltex \pgtag{\parfillskip=0pt}?></p>
<figure resumeNumberingAt="5" xml:id="c02-fig-0039"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p040" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p040"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\advance\itemindent by -0pt\putfigure{5}{c02_RP/c02rp005.eps}{}{}{}{}\egroup}?></figure>
<?xmltex \pgtag{\vfill\eject}?>
<p><?xmltex \pgtag{\noindent}?>and assume that forces between the gears (i.e., between gear and pinion) act tangentially. Sketch, as free bodies in equilibrium,</p>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(d)}}{\LL}}?>
<exercise xml:id="c02-ex-0090"><question><p>The pinion and shaft assembly.</p></question>
</exercise>
<exercise xml:id="c02-ex-0091"><question><p>The gear and shaft assembly.</p></question>
</exercise>
<exercise xml:id="c02-ex-0092"><question><p>The housing.</p></question>
</exercise>
<exercise xml:id="c02-ex-0093"><question><p>The entire reducer assembly.</p><?xmltex \pgtag{\vspace*{-3pt}}?>
<?xmltex \OrgFixedPosition{c02-fig-0039}?>
</question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
<exercise xml:id="c02-ex-0066"><exerciseParts>
<p>With reference to Figure RP<link href="c02-fig-0049"/></p>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(a)}}{\LL}}?>
<exercise xml:id="c02-ex-0094"><question><p>Draw a free&hyphen;body diagram of the structure supporting the pulley.</p></question>
</exercise>
<exercise xml:id="c02-ex-0095"><question><p>Draw shear and bending moment diagrams for both the vertical and horizontal portions of the structure.</p><?xmltex \OrgFixedPosition{c02-fig-0049}?>
<?xmltex \pgtag{\vspace*{4pt}}?><figure xml:id="c02-fig-0049"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p055" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p055"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\CenteredCaptiontrue\putfigure{6}{c02_RP/c02rp006.eps}{}{}{}{}\egroup}?></figure>
</question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
<?xmltex \pgtag{\vspace*{-3.5pc}}?><exercise xml:id="c02-ex-0067"><exerciseParts>
<?xmltex \OrgFixedPosition{c02-fig-0050}?>
<figure xml:id="c02-fig-0050"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p056" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p056"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\Wrapfigtrue\advance\FigMoveUpSkip by 29.5pt\putfigure{7}{c02_RP/c02rp007.eps}{}{}{}{}\egroup}?></figure>
<p><?xmltex \pgtag{\advance\rightskip by 168pt}?>The drawing (Figure RP<link href="c02-fig-0050"/>) shows a bevel gear attached to a shaft supported by self&hyphen;aligning bearings at <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>A</mi></mrow></math> and <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>B</mi></mrow></math> and driven by a motor. Axial and radial components of the gear force are shown. The tangential or torque&hyphen;producing component is perpendicular to the plane of the paper and has a magnitude of 2000<?xmltex \uns?>N. Bearing <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>A</mi></mrow></math> takes thrust; <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>B</mi></mrow></math><?xmltex \pgtag{\nobreak}?> does not. Dimensions are in millimeters.</p>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(a)}}{\LL}}?>
<?xmltex \pgtag{\rightskip168pt}?><exercise xml:id="c02-ex-0096"><question><p>Draw (to scale) axial load, shear, bending moment, and shaft torque diagrams.</p></question>
</exercise>
<exercise xml:id="c02-ex-0097"><question><p>To what values of axial load and torque is the shaft subjected, and what portion(s) of the shaft experience these loads?</p></question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
<exercise xml:id="c02-ex-0072"><question><p>Figure RP<link href="c02-fig-0055"/> shows a screw with a square thread transmitting axial force <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>F</mi></mrow></math> through a nut with <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>n</mi></mrow></math> threads engaged (the drawing illustrates <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math>). Making appropriate simplifying assumptions, identify the stresses in the threaded portion of the screw and write an equation for each.<note xml:id="c02-note-0004"><label>&ast;</label>The first five sections of Chapter <exlink href="urn:x-wiley:9781118012895:xml-component:juvinall9781118012895c04"/> review simple stress equations.</note> State the assumptions made, and discuss briefly their effect.</p>
<?xmltex \pgtag{\vfill\eject}?>
<?xmltex \OrgFixedPosition{c02-fig-0055}?>
<figure resumeNumberingAt="8" xml:id="c02-fig-0055"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p061" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p061"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\figbotskip=1pc\putfigure{8}{c02_RP/c02rp008.eps}{}{}{}{}\egroup}?></figure>
</question>
</exercise>
<exercise xml:id="c02-ex-0075"><exerciseParts><p>Figure RP<link href="c02-fig-0058"/> shows force <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>P</mi></mrow></math> applied to an engine crankshaft by a connecting rod. The shaft is <?xmltex \pgtag{\hbox\bgroup}?>supported<?xmltex \pgtag{\egroup}?> by main bearings <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>A</mi></mrow></math> and <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>B</mi></mrow></math>. Torque is transmitted to an external load through flange <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>F</mi></mrow></math>.</p>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(a)}}{\LL}}?>
<exercise xml:id="c02-ex-0100"><question><p>Draw the shaft, and show all loads necessary to place it in equilibrium as a free<?xmltex \pgtag{\nobreak}?> <?xmltex \pgtag{\hbox\bgroup}?>body.<?xmltex \pgtag{\egroup}?></p></question>
</exercise>
<exercise xml:id="c02-ex-0101"><question><p>Starting with <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>P</mi></mrow></math> and following the force paths through the shaft to the flange, identify the locations of potentially critical stresses.</p></question>
</exercise>
<exercise xml:id="c02-ex-0102"><question><p>Making appropriate simplifying assumptions, write an equation for each.<note xml:id="c02-note-0006"><label>&ast;</label>The first five sections of Chapter <exlink href="urn:x-wiley:9781118012895:xml-component:juvinall9781118012895c04"/> review simple stress equations.<?xmltex \pgtag{\vspace*{4pc}}?></note> State the assumptions<?xmltex \pgtag{\nobreak}?> <?xmltex \pgtag{\hbox\bgroup}?>made.<?xmltex \pgtag{\egroup}?></p><?xmltex \pgtag{\vspace*{5pt}}?><?xmltex \OrgFixedPosition{c02-fig-0058}?>
<figure xml:id="c02-fig-0058"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p064" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p064"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\figbotskip=-12pt\let\PutFigAndCaption\sspPutProbFigAndCaption\let\PutProbFigAndCaption\sspPutProbFigAndCaption\CenteredCaptiontrue\CenteredCaptnAdjDim=-27pt\figskip=-12pt\figbotskip=0pc\figtopskip=1pc\putfigure{9}{c02_RP/c02rp009.eps}{}{}{}{}\egroup}?></figure>
</question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
<exercise answerPlace="here" onlineAnswerPlace="button" xml:id="c02-ex-0079"><question><p>A very stiff horizontal bar, supported by four identical springs, as shown in Figure RP<link href="c02-fig-0061"/>, is subjected to a center load of 100<?xmltex \uns?>N. What load is applied to each spring?</p>
<?xmltex \OrgFixedPosition{c02-fig-0061}?>
</question>
<answer><p>[Ans.: lower springs, 40<?xmltex \uns?>N; upper springs, 20<?xmltex \pgtag{\nobreak}?> <?xmltex \pgtag{\hbox\bgroup}?>N]<?xmltex \pgtag{\egroup}?></p></answer>
</exercise>
<?xmltex \pgtag{\vfill\eject}?>
<exercise xml:id="c02-ex-0082"><exerciseParts>
<figure xml:id="c02-fig-0061"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p068" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p068"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\figbotskip=0pc\putfigure{10}{c02_RP/c02rp010.eps}{}{}{}{}\egroup}?></figure>
<p>Figure RP<link href="c02-fig-0062"/> shows two plates joined with straps and a single row of rivets (or bolts). Plates, straps, and rivets are all made of ductile steel having yield strengths in tension, compression, and shear of 284, 284, and 160<?xmltex \uns?>MPa, respectively. Neglect frictional forces between the plates and straps.</p><?xmltex \pgtag{\vspace*{0pc}}?>
<?xmltex \OrgFixedPosition{c02-fig-0062}?>
<figure resumeNumberingAt="11" xml:id="c02-fig-0062"><title type="figureName">FIGURE P</title>
<mediaResource alt="c02p071" cms:chunk="yes" href="urn:x-wiley:9781118012895:media:juvinall9781118012895c02:c02p071"/>
<?xmltex \pgtag{\bgroup\FloatPositionToptrue\putfigure{11}{c02_RP/c02rp011.eps}{}{}{}{}\egroup}?></figure>
<?xmltex \pgtag{\begin{enumerate}{\textbf{(a)}}{\LL}}?>
<exercise xml:id="c02-ex-0107"><question><p>What force <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>F</mi></mrow></math> can be transmitted across the joint per pitch, <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>P</mi></mrow></math>, of joint width, based on rivet shear strength?</p></question>
</exercise>
<exercise xml:id="c02-ex-0108"><question><p>Determine minimum values of <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>t</mi><mo>,</mo><msup><mi>t</mi><mo>&prime;</mo></msup></mrow></math>, and <math display="inline" overflow="scroll" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><mrow><mi>P</mi></mrow></math> that will permit the total joint to transmit this same force (thus giving a &ldquo;balanced&rdquo; design).</p></question>
</exercise>
<exercise xml:id="c02-ex-0109"><question><p>Using these values, what is the &ldquo;efficiency&rdquo; of the joint (ratio of joint strength to strength of a continuous plate)?</p></question>
</exercise>
<?xmltex \pgtag{\end{enumerate}}?>
</exerciseParts>
</exercise>
</exerciseSection>
</exerciseSection>
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