In drilling a deep oil well the drill shaft, consisting of sections of “drill rod”, is powered from the top, while the load or counter torque is taken off at the bottom. The drill hole is 3 1/2 miles deep. Assuming a solid drill rod of circular cross section and 1 in. diameter, designed to a working shear stress of 5,000 psi, turning at 700 rpm, calculate (a) The wind-up, i.e. the twist angle between the top and bottom. (b) The horsepower of the driving motor. (c) State all assumptions, and comment on the results. What other considerations may have to be taken into account in using this drill? NOTE: The shear modulus of steel may be taken as 12 x 106 psi. Also 1 mile = 5,280 ft.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In drilling a deep oil well the drill shaft, consisting of sections of “drill rod”, is powered from the top, while the load or counter torque is taken off at the bottom. The drill hole is 3 1/2 miles deep. Assuming a solid drill rod of circular cross section and 1 in. diameter, designed to a working shear stress of 5,000 psi, turning at 700 rpm, calculate

(a) The wind-up, i.e. the twist angle between the top and bottom.

(b) The horsepower of the driving motor.

(c) State all assumptions, and comment on the results. What other considerations may have to be taken into account in using this drill?

NOTE: The shear modulus of steel may be taken as 12 x 106 psi. Also 1 mile = 5,280 ft.

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