The small tapered bar BC has length L=0.1m and is made of a homogeneous material with Young's modulus E=10GPa. The cross sectional area of the bar slowly varies between A0=160mm2 (at B) and A0/2 (at C); in functional form,
A(x)= Ao /1+X/l
The bar is fixed at B and a compressive load P=8kN is applied at the free end C. Determine the numerical value of the total elongation d of the bar in units of millimeters