A cylindrical hollow tube with closed ends is pressurized to a gauge pressure of 10 MPa and twisted with an applied torque of 100 N-m. The tube has a diameter of 30 mm and a wall thickness of 1 mm. The tube is made of steel (Sy = 300 MPa). Hint: For a thin-walled cylinder, J = d³t y Lx A a) Calculate the stresses at point A on the surface of the tube. Draw and label the stresses

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
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Problem 2: Combined loading
A cylindrical hollow tube with closed ends is
pressurized to a gauge pressure of 10 MPa and
twisted with an applied torque of 100 N-m. The
tube has a diameter of 30 mm and a wall
thickness of 1 mm. The tube is made of steel (Sy
= 300 MPa). Hint: For a thin-walled cylinder, J = d³t
y
x
A
a) Calculate the stresses at point A on the surface of the tube. Draw and label the stresses
acting on a small material element at A.
y
X
A
b) Draw all 3 Mohr's circles for the stress state at point A and calculate the principal stresses.
01 =
03 =
c) Calculate the safety factor against yielding at point A using the max. distortion energy criteria.
n =
Transcribed Image Text:Problem 2: Combined loading A cylindrical hollow tube with closed ends is pressurized to a gauge pressure of 10 MPa and twisted with an applied torque of 100 N-m. The tube has a diameter of 30 mm and a wall thickness of 1 mm. The tube is made of steel (Sy = 300 MPa). Hint: For a thin-walled cylinder, J = d³t y x A a) Calculate the stresses at point A on the surface of the tube. Draw and label the stresses acting on a small material element at A. y X A b) Draw all 3 Mohr's circles for the stress state at point A and calculate the principal stresses. 01 = 03 = c) Calculate the safety factor against yielding at point A using the max. distortion energy criteria. n =
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