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The A-36 steel drill shaft of an oil well extends 12 000
Chapter 4, Problem 4-6(choose chapter or problem)
The A-36 steel drill shaft of an oil well extends 12 000 ft into the ground. Assuming that the pipe used to drill the well is suspended freely from the derrick at A, determine the maximum average normal stress in each pipe string and the elongation of its end D with respect to the fixed end at A. The shaft consists of three different sizes of pipe, AB, BC, and CD, each having the length, weight per unit length, and cross-sectional area indicated.
Questions & Answers
QUESTION:
The A-36 steel drill shaft of an oil well extends 12 000 ft into the ground. Assuming that the pipe used to drill the well is suspended freely from the derrick at A, determine the maximum average normal stress in each pipe string and the elongation of its end D with respect to the fixed end at A. The shaft consists of three different sizes of pipe, AB, BC, and CD, each having the length, weight per unit length, and cross-sectional area indicated.
ANSWER:
Step 1 of 8
Recall from theory that the formulas for calculating displacement of one side of a bar with relation to other, of a bar that has length 
Or in the case that segments have are not infinite we use the formula:
Another important note is that following the book's examples we will write tensile forces and elongation of distances as positive and compressive forces and contracted distances as negative.