Figure Q4(B)(a) shows a hollow quarry drill bit in operation. When drilling, it experiences resistive torques T1=10 kNm at A, T2 kNm at B. A pushing compressive force (in x direction) is also applied P kN at C generating a compressive stress o in AB and BC. The hollow part of the drill bit is used to pump coolant at a pressure such that it generates a circumferential stress of oy = 20 MPa. The dimensions of the drill are given in Table Q4(B). Table Q4(B) Outer diameter AB Inner diameter AB Outer diameter BC Inner diameter BC 100 mm 80 mm 150 mm 80 mm Determine: a) The maximum principal stress for part AB (in MPa) b) The maximum principal stress for part BC (in MPa) c) The part of the drill (AB or BC) and location of brittle failure plane with respect to drill bit axis. TI T2 в
Figure Q4(B)(a) shows a hollow quarry drill bit in operation. When drilling, it experiences resistive torques T1=10 kNm at A, T2 kNm at B. A pushing compressive force (in x direction) is also applied P kN at C generating a compressive stress o in AB and BC. The hollow part of the drill bit is used to pump coolant at a pressure such that it generates a circumferential stress of oy = 20 MPa. The dimensions of the drill are given in Table Q4(B). Table Q4(B) Outer diameter AB Inner diameter AB Outer diameter BC Inner diameter BC 100 mm 80 mm 150 mm 80 mm Determine: a) The maximum principal stress for part AB (in MPa) b) The maximum principal stress for part BC (in MPa) c) The part of the drill (AB or BC) and location of brittle failure plane with respect to drill bit axis. TI T2 в
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...
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Figure shows a hollow quarry drill bit in operation. When drilling, it experiences
resistive torques T1 = 10 kNm at A, T2=26kNm at B. A pushing compressive force (in x direction)
is also applied 25 kN at C generating a compressive stress σxx in AB and BC. The hollow part of the drill bit is used to pump coolant at a pressure such that it generates a circumferential stress of Oyy= 20 MPa. The dimensions of the drill are given in Table .
i The maximum principal stress for part AB (in MPa)
ii The maximum principal stress for part BC (in MPa)
iii The part of the drill (AB or BC) and location of brittle failure plane with
respect to drill bit axis.
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