A torque T applied to a 1.2 m long and 50 mm diameter solid shaft increases until the shaft is fully plastic and removed. The shaft is made of an elastoplastic material with yield strength in shear of 150 MPa and a modulus of rigidity of 77 GPa. a. Sketch the distribution of residual shearing stresses. b. Determine the angle of twist of the shaft C. Determine the location on the cross-section where the residual shear stress is zero.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
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A torque T applied to a 1.2 m long and 50 mm diameter solid shaft increases until the shaft is fully plastic and removed. The shaft is made of an
elastoplastic material with yield strength in shear of 150 MPa and a modulus of rigidity of 77 GPa.
a. Sketch the distribution of residual shearing stresses.
b. Determine the angle of twist of the shaft
C. Determine the location on the cross-section where the residual shear stress is zero.
Transcribed Image Text:A torque T applied to a 1.2 m long and 50 mm diameter solid shaft increases until the shaft is fully plastic and removed. The shaft is made of an elastoplastic material with yield strength in shear of 150 MPa and a modulus of rigidity of 77 GPa. a. Sketch the distribution of residual shearing stresses. b. Determine the angle of twist of the shaft C. Determine the location on the cross-section where the residual shear stress is zero.
Dyaw the figue for distributson afshean stres in cirulay bar.,
Cross-setion
Zoom
て20
The residual sheay stress is zero at the centerline af
the bar.
shere stress is zero at any
þoint
on the centerline of ba
or
Calulete the angle af
twist af the shaft.
ン
R
8 = Tyl
R GG
150X1.2
ニ
O. OS X TIXI03
I 8o dgree
dgre
180
75 rad
6= ス6765g°
Transcribed Image Text:Dyaw the figue for distributson afshean stres in cirulay bar., Cross-setion Zoom て20 The residual sheay stress is zero at the centerline af the bar. shere stress is zero at any þoint on the centerline of ba or Calulete the angle af twist af the shaft. ン R 8 = Tyl R GG 150X1.2 ニ O. OS X TIXI03 I 8o dgree dgre 180 75 rad 6= ス6765g°
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