A cantilevered W12X136 (ASTM-A36) steel member beam is 18 feet in length. if a concentrated load of 12 kips is applied at a point 6.25 feet from the beam's free end, use the superposition technique to find:
a. the deflection at the free end caused by the beams own weight.
b. the deflection of the free end caused by the concentrated load.
c. the total deflection due to the two weights.