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

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.

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 G 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 Gy = 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.
T1
T2
в
P
Transcribed Image Text: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 G 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 Gy = 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. T1 T2 в P
Outer diameter AB
Inner diameter AB
Outer diameter BC
100 mm
80 mm
150 mm
80 mm
Inner diameter BC
Transcribed Image Text:Outer diameter AB Inner diameter AB Outer diameter BC 100 mm 80 mm 150 mm 80 mm Inner diameter BC
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