document.write( "Question 927454: The stiffness of a beam varies jointly as its breadth and depth and inversely as the square of its length. Find the change in stiffness of each of the three dimensions is increased by 10% \n" ); document.write( "

Algebra.Com's Answer #562978 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+S+\"$ = stiffness
\n" ); document.write( "Let $\"+B+\"$ = breadth
\n" ); document.write( "Let $\"+D+\"$ = depth
\n" ); document.write( "Let $\"+L+\"$ = length
\n" ); document.write( "Let $\"+k+\"$ = a constant
\n" ); document.write( "----------------------
\n" ); document.write( "given:
\n" ); document.write( " $\"+S+=+k%2A%28+B%2AD+%29+%2F+L%5E2+\"$
\n" ); document.write( " $\"+k+=+S%2A%28+L%5E2+%2F+%28+B%2AD+%29%29+\"$
\n" ); document.write( "

\n" ); document.write( "

\n" ); document.write( " $\"+S%5B2%5D+%2F+S%5B1%5D+=+1.1%5E2+%2F+1.1%5E2+\"$
\n" ); document.write( " $\"+S%5B2%5D+%2F+S%5B1%5D+=+1+\"$
\n" ); document.write( "There is no change in the stiffness
\n" ); document.write( "Hope that makes sense\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );