Consider a thin-walled spherical pressure vessel, where the internal pressure, p, the sphere radius, r, and the wall thickness, t.
What is the elastic strain energy per unit volume in terms of p, r, t, the Young's modulus E, and the Poisson's ratio ν of the sphere?
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Consider a thin-walled spherical pressure vessel, where the internal pressure, p, the sphere radius, r, and...
The thin walled pressure vessel with closed ends shown below is under an internal pressure of P 6 MPa. If the pressure vessel has a radius of r 15 degrees from the longitudinal axis (i.e 144 mm and a wall thickness of t = 5 mm, what is the magnitude of the shear angle stress at an - T x'v). Ensure your answer is in MPa. у у' x x
13. (a) The cylindrical walls of a vessel of outer radius R and wall thickness (t <<R) are made of an isotropic linear elastic material with modulus E and Poisson's ratio v. The end caps are rigid. If the vessel is empty (zero gage pressure), the vessel fits precisely (without any stress) inside a rigid frictionless well. A pressurized fuel is introduced in the vessel so that the internal gage pressure in the vessel is now P. For these conditions...
A thin-walled closed-end pressure vessel of radius r= 120 mm and wall thickness t= 5 mm is subjected to the tensile force P and internal pressure pi = 4MPa. Assume that the cross-sectional area A = 2hrt 199999997 P TE P P (a) The material of the vessel will fail if the maximum tensile stress exceeds 100MPa. Determine the maximum value of P so that the vessel will not have a tensile failure. (b) Calculate the maximum shear stress in...
Problem 1 A thin-walled pressure vessel of mean radius R 100 mm and thickness t (R) is subjected to cyclic internal pressure p in the range -3 MPa p7 MPa. Using Soderberg's relation with maximum distortional strain energy theory, and safety factor of 2.6 determine the number of cycles to failure ift-5 mm Assume ơy(yield stress)-350 MPa, NY (Number of cycles to yield)-10, ơ (endurance stress)-290 MPa, Ne (number ofcycles associated with endurance stress)-10 Problem 1 A thin-walled pressure vessel...
A thin-wall aluminum pop can is subjected to an internal pressure of 100 psi. The diameter and the wall thickness of the can are 2.5 inch and 0.004 inch respectively. The Young's modulus and Poisson's ratio for aluminum are E = 10 x 10$psi and V = 0.33, respectively. The axial stress (the stress along the longitudinal direction) is closest to 40000 psi 8000 psi 32000 psi 16000 psi A thin-wall aluminum pop can is subjected to an internal pressure...
A thin-wall aluminum pop can is subjected to an internal pressure of 100 psi. The diameter and the wall thickness of the can are 2.5 inch and 0.004 inch respectively. The Young's modulus and Poisson's ratio for aluminum are E = 10 x 10 psi and V = 0.33, respectively. The axial strain is closest to O 0.0010 0.0001 0.0015 0.0005
A thin walled spherical pressure vessel is made of A36 steel. Determine the required wall thickness (to the closest 1/8 inch) if the allowable stress, ?allowed-K (?yield). The gauge pressure is 1,000 psi. 120 in
Question 16 1 points Save Answer A thin-wall aluminum pop can is subjected to an internal pressure of 100 psi. The diameter and the wall thickness of the can are 2.5 inch and 0.004 inch respectively. The Young's modulus and Poisson's ratio for aluminum are E = 10 x 10ps and v- 0.33 , respectively. The axial stress (the stress along the longitudinal direction) is closest to 32000 psi 40000 psi 16000 psi 8000 psi Question 17 0.5 points Save...
Problem 31 Determine the normal stress in the wall of the spherical thin walled pressure vessel. a) 40,000 psi 500 psi internal gas pressure in b) 20,000 ksi c) 20,000 psi d) 10,000 psi e) None of the above 40 in
A thin-walled pressure vessel is constructed with a helical weld at an angle a = 70° from the longitudinal axis. The welded vessel has an internal radius of r = 48 inches and a thickness 1 = 0.12 inch. The gas pressure inside the vessel is 250 psi. Determine the normal and shear stresses, on and ts, along the weld line. Helical weld Figure 2