When drilling a hole in a table leg, a furnituremaker uses a hand-operated drill (see figure) with abit of diameter d = 4.0 mm.(a) If the resisting torque supplied by the table leg isequal to 0.3 N ? m, what is the maximum shearstress in the drill bit?(b) If the allowable shear stress in the drill bit is32 MPa, what is the maximum resisting torquebefore the drill binds up?(c) If the shear modulus of elasticity of the steel isG = 75 GPa, what is the rate of twist of the drillbit (degrees per meter)?

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 3.3.6P: When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure) with...
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When drilling a hole in a table leg, a furniture
maker uses a hand-operated drill (see figure) with a
bit of diameter d = 4.0 mm.
(a) If the resisting torque supplied by the table leg is
equal to 0.3 N ? m, what is the maximum shear
stress in the drill bit?
(b) If the allowable shear stress in the drill bit is
32 MPa, what is the maximum resisting torque
before the drill binds up?
(c) If the shear modulus of elasticity of the steel is
G = 75 GPa, what is the rate of twist of the drill
bit (degrees per meter)?

 

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