document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928763>Question 928763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One end of a cantilever beam of length &#119871; is built into a wall, while the other end is simply supported. If the beam weighs &#119908; lb. per<BR>\n" );
document.write( "unit length, its deflection &#119910; at a distance &#119909; from the built-in end satisfies the equation<BR>\n" );
document.write( "48&#119864;&#119868;&#119910; = &#119908;(2&#119909;4 &#8722; 5&#119871;&#119909;3 + 3&#119871;2&#119909;2) ,<BR>\n" );
document.write( "where &#119864; and &#119868; are constants which depend on the material of the beam and the shape of its cross section. Sketch the graph of the<BR>\n" );
document.write( "deflection with all details and discuss it. Where does the maximum deflection occur? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563976 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume a steel beam with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=30x10%5E6 ALIGN=MIDDLE  ALT=\"E=30x10%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=psi ALIGN=MIDDLE  ALT=\"psi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Assume a 6\" square beam, 60\" long.<BR>\n" );
document.write( "So then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=0.283%2A6%2A6=10.2 ALIGN=MIDDLE  ALT=\"w=0.283%2A6%2A6=10.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lb%2Fin ALIGN=MIDDLE  ALT=\"lb%2Fin\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=I=b%5E4%2F12=6%5E4%2F12=108 ALIGN=MIDDLE  ALT=\"I=b%5E4%2F12=6%5E4%2F12=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=in%5E4 ALIGN=MIDDLE  ALT=\"in%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=60 ALIGN=MIDDLE  ALT=\"L=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=in ALIGN=MIDDLE  ALT=\"in\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation becomes,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2830x10%5E6%29y=10.2%282x%5E4-5%2860%29x%5E3%2B3%2860%29%5E2x%5E2%29 ALIGN=MIDDLE  ALT=\"48%2830x10%5E6%29y=10.2%282x%5E4-5%2860%29x%5E3%2B3%2860%29%5E2x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286.94x10%5E%28-10%29%29%282x%5E4-300x%5E3%2B10800x%5E2%29 ALIGN=MIDDLE  ALT=\"y=%286.94x10%5E%28-10%29%29%282x%5E4-300x%5E3%2B10800x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "There is a problem with your equation. <BR>\n" );
document.write( "The deflection should be negative, going downwards.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=beam.JPG\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );