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A drill pipe changes direction in a dog leg, below which the rest of the drill string extends to the bottom of the well bore. In the dog leg, the drill pipe has an outer diameter of 130 mm and an inner diameter of 110 mm. Below the dog leg the string weighs Ws = 800 kN which is fully taken up as axial loading by the pipe at the dog leg. If the total stress in the drill pipe in the dog leg (including axial and bending) is to be 400 MPa, over what length Ld should a θ0 = 20° change in direction be accomplished?
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