At a local marina the dock is supported on wood piling in the manner shown in .

Question

At a local marina the dock is supported on wood piling in the manner shown in . The top part, A,B, 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 d0 = 12 in., but action of the water and insects has reduced the diameter of the pile over the part BC. (a) If the axial force that the deck exerts on this pile is P = 200 kips, 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 = 200 kips produce in this damaged part of the pile? (c) If the maximum axial stress allowed in the wood piles is 7.5 ksi (in compression). what is the maximum deck load that this damaged pile can support?

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