3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank containing compressed air under a pressure of 2 MPa. The tank has a 400 mm outer diameter and a 20 mm wall thickness. Aluminum 6063 has a yield strength of 48 MPa. a. Draw and label a stress element for the most stressed point on the tank. Explain why this is the most stressed point. b. Sketch Mohr's circle and find the principal stresses at the most stressed point. Make sure you label your axes! c. Determine whether or not this is a safe loading scenario by considering the max normal stress, max shear stress, and distortion energy. (Hint-calculate the factor of safety for each failure criteria) T

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
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
Problem 8.2.3P: A large spherical tank (see figure) contains gas at a pressure of 420 psi. The tank is 45 ft in...
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3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank
containing compressed air under a pressure of 2 MPa. The tank has a 400 mm outer diameter and a
20 mm wall thickness. Aluminum 6063 has a yield strength of 48 MPa.
a. Draw and label a stress element for the most stressed point
on the tank. Explain why this is the most stressed point.
b. Sketch Mohr's circle and find the principal stresses at the
most stressed point. Make sure you label your axes!
c. Determine whether or not this is a safe loading scenario by
considering the max normal stress, max shear stress, and
distortion energy. (Hint - calculate the factor of safety for
each failure criteria)
T
Transcribed Image Text:3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank containing compressed air under a pressure of 2 MPa. The tank has a 400 mm outer diameter and a 20 mm wall thickness. Aluminum 6063 has a yield strength of 48 MPa. a. Draw and label a stress element for the most stressed point on the tank. Explain why this is the most stressed point. b. Sketch Mohr's circle and find the principal stresses at the most stressed point. Make sure you label your axes! c. Determine whether or not this is a safe loading scenario by considering the max normal stress, max shear stress, and distortion energy. (Hint - calculate the factor of safety for each failure criteria) T
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