Problem 2 10 pts A cylindrical pressure vessel with wall thickness t-5 mm and inside radius r 150...
A harmless or harmful crack? (20) routine inspection, a crack was detected in a cylindrical pressure vessel having a wall thickness 186 mm. characteristic dimension (a) of this crack was measured to be 0.025 m and it was acted on by a hoop stress -120MPa. For this crack configuration, the stress intensity factor may be calculated using π.a auwhere O-2.93 racture toughness of the vessel material is KIc -59MPavm e need to worry about this crack? late the factor of...
A cylindrical pressure vessel of 250 mm mean diameter and 6 mm wall thickness is fabricated from a 1.2 m length of spirally welded pipe AB as shown. Tank gauge pressure is 4 MPa and centric axial forces P and P1 of 240 kN act through rigid end plates. Determine: (a) Net longitudinal and hoop stresses. (b) Normal stress acting perpendicular to weld and shear stress parallel to weld (show sketch of Mohr’s circle). (c) Determine the Factor of Safety...
Problem 5. A thin-walled cylindrical pressure vessel of radius 50 mm and thickness 5 -mm, made of steel, is subjected to an internal pressure which is fluctuating from -0.2P to P. (i) Determine the safe pressure P according to each of the following criteria': (a) The Soderberg Criterion, (b) The Goodman Criterion, and (c) The Gerber Criterion (ii) Draw these criteria on same coordinates and include the load line. (iv) If a 20-MPa pressure is used what would be the...
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 pressure vessel with an internal diameter of 2.1 m, and a wall thickness of 6mm, has a maximum working internal pressure of 0.6. 1 MPa. A through-thickness crack (Q=1), 5.3 mm in length is found during inspection. (i) Find the critical crack length that can be reached before failure occurs, and the corresponding number of cycles to failure. Kic = 50MN/m2 da 50 x 10-12 (A k)4.1 dN (ii) If the desired life cycle is N = 10,000, define...
The cylindrical pressure vessel has an inner radius of 1.25 m and a wall thickness of 25 mm . It is made from steel plates that are welded along the 45∘ seam. The vessel is subjected to an internal pressure of 7 MPa . (Figure 1) Part A Determine the normal stress component along this seam. Express your answer to three significant figures and include the appropriate units. Part B Determine the shear stress component along this seam. Express your...
Question 3 A typical load case for a cylindrical pressure vessel which is on the back of a truck is estimated to include the d 1.5 m t10 mm internal pressure of p = 2 MPa torsion of and a p = 2 MPa T= 1000 kNm. The internal diameter of the pressure vessel is 1.5 m and the wall thickness is 10 mm. The vessel is made of steel with a yield stress of Sy = 400 MPa Based...
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...
The cylindrical pressure vessel shown in the figure has an inside diameter of 980 mm and a wall thickness of 12 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 72 GPa and a shear modulus of G = 27.5 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other. The angle θ is 21°. If the pressure in the vessel is 1.86...
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...