At a local marina, the dock is supported on wood piling in the manner . The top part AB, of one pile is above the normal waterline; the middle part, BC, is in direct contact with the water; and the part below C is underground. The original diameter of the pile is 300 mm, but action of the water and insects has reduced the diameter of the pile over the part BC. a) If the force that the deck exerts on the pile is P = 890 kN, what is the axial stress in AB? (neglect the weight of the pile itself) b) An inspector estimates that the diameter of the pile in segment BC has been eroded by 5%. What axial stress does the deck load of P = 890 kN produce in this damaged section of the pile? c) If the maximum axial stress allowed in the wood piles is 51 MPa (in compression), what is the maximum deck load that this damaged pile can support?