document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118836>Question 1118836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The strength of a rectangular beam varies jointly as its width and the square of its depth. If the strength of a beam 2 inches wide by 10 inches deep is 1000 pounds per square inch, what is the strength of a beam 4 inches wide and 8 inches deep </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734267 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor derived the specific formula for calculating the strength of a beam, using the given information to calculate the constant of variation.  So they didn't answer your question; but they made it easy for you to plug in numbers to get the answer.<br><BR>\n" );
document.write( "In relatively simple problems like this, I find it more difficult and time-consuming to find the constant of variation the way the other tutor did.<br><BR>\n" );
document.write( "Instead, I find it easier to apply factors to the given information to find how the strength is changed with the new information.<br><BR>\n" );
document.write( "The load limit is 1000 pounds per square inch when the beam is 2 inches wide and 10 inches deep.  In the new beam, the width is 4 inches (times 2) and the depth is 8 inches (times 4/5).<br><BR>\n" );
document.write( "Then since the variation is jointly with the width and the square of the depth, the new load limit is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281000%29%2A%282%29%2A%28%284%2F5%29%5E2%29+=+1280 ALIGN=MIDDLE  ALT=\"%281000%29%2A%282%29%2A%28%284%2F5%29%5E2%29+=+1280\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The load limit of the new beam is 1280 pounds per square inch. </SPAN>\n" );
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