Question 715195
{{{S}}} = strength of the beam
{{{w}}} = width of the beam
{{{d}}} = depth of the beam
{{{k}}} = variation constant
{{{S=k*w*d^2}}}
If we start with
{{{w=w[1]}}} and {{{d=d[1]}}}
the strength of the beam is
{{{S[1]=k*w[1]*d[1]^2}}}
If the we change width and depth to
{{{w=w[2]=2.7w[1]}}} and {{{d=d[2]=2.5d[1]}}}
the strength of the new beam is
{{{S[2]=k*w[2]*d[2]^2=k*(2.67w[1])*(2.5d[1])^2=k*2.67*w[1]*2.5^2*d[1]^2=(2.67*2.5^2)*(k*w[1]*d[1]^2)=highlight(16.875)*S[1]}}}