A small T$-$section is used in inverted Tposition as a beam as shown in Figure $2($a$),2($b$)$ over a span of $400mm.$ A load $P$ is applied at the mid$-$span of the beam. A longitudinal strain gauge placed at point $F$ registers a compressive strain of $15{10}^{-6}$

Take Youngs Modulus E $=200$GPa. Determine the load $P.$

Figure $2($b$)$