When drilling a well at constant angular velocity, the

Chapter 5, Problem 5-26

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QUESTION:

When drilling a well at constant angular velocity, the bottom end of the drill pipe encounters a torsional resistance \(T_{A}\). Also, soil along the sides of the pipe creates a distributed frictional torque along its length, varying uniformly from zero at the surface B to \(t_{A}\) at A. Determine the minimum torque \(T_{B}\) that must be supplied by the drive unit to overcome the resisting torques, and calculate the maximum shear stress in the pipe. The pipe has an outer radius \(r_{o}\) and an inner radius \(r_{i}\).

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QUESTION:

When drilling a well at constant angular velocity, the bottom end of the drill pipe encounters a torsional resistance \(T_{A}\). Also, soil along the sides of the pipe creates a distributed frictional torque along its length, varying uniformly from zero at the surface B to \(t_{A}\) at A. Determine the minimum torque \(T_{B}\) that must be supplied by the drive unit to overcome the resisting torques, and calculate the maximum shear stress in the pipe. The pipe has an outer radius \(r_{o}\) and an inner radius \(r_{i}\).

ANSWER:

Problem 5-26When drilling a well at constant angular velocity, the bottom end of the drill pipe encountersa torsional resistance T . Aso, soil along the sides of the pipe creates a distributed frictionaltorque along its length, varying uniformly from zero at the surface B to t at A. DAtermine theminimum torque TB that must be supplied by the drive unit to overcome the resistingtorques, and calculate the maximum shear stress in the pipe. The pipe has an outer radiusro and an inner radius r .i Step-by-step solution Step 1 of 3 ^Draw the figure showing torque acting A.

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