Problem 4 A cylindrical pressure vessel with radius r =200 mm and wall thickness t =10 mm is subjected to internal pressure p = 5 MPa. In addition, a torque T =100 kN m and applied force = 50 kN act at each end of the cylinder. P a) Find the maximum tensile stress, Omax, and the maximum in-plane shear stress, Tmax, in the wall of the cylinder using either the transformation equations or Mohr's circle, or both. b) If the allowable in-plane shear stress is 30 MPa, what is the maximum allowable torque?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.7P: A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0,5 in, is subjected...
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Problem 4 A cylindrical pressure vessel with radius r =200 mm and wall thickness t =10 mm is
subjected to internal pressure p = 5
P = 50 kN act at each end of the cylinder.
5 MPa. In addition, a torque T=100 kN m and applied force
а)
Find the maximum tensile stress, Omax, and the maximum in-plane shear stress, Tmax, in the
wall of the cylinder using either the transformation equations or Mohr's circle, or both.
b)
If the allowable in-plane shear stress is 30 MPa, what is the maximum allowable torque?
T
T
Transcribed Image Text:Problem 4 A cylindrical pressure vessel with radius r =200 mm and wall thickness t =10 mm is subjected to internal pressure p = 5 P = 50 kN act at each end of the cylinder. 5 MPa. In addition, a torque T=100 kN m and applied force а) Find the maximum tensile stress, Omax, and the maximum in-plane shear stress, Tmax, in the wall of the cylinder using either the transformation equations or Mohr's circle, or both. b) If the allowable in-plane shear stress is 30 MPa, what is the maximum allowable torque? T T
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