Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness...
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 3 [35 marks] An inspection of a failed thin walled pressure vessel (cylinder with closed ends) shows through- the-thickness cracks in the axial (or longitudinal) direction. The length of the cracks varies from 10 mm to 25 mm. The pressure vessel has radius R = 1.5 m, wall thickness t = 30 mm, and was manufactured from aluminium with fracture toughness properties Kịc = 50 MPa m12. a) Determine the pressure at which the vessel is expected to have...
MEE2001/2015 Q5. A thin walled steel cylinder with 10 mm wall thickness and internal diameter of 200 mm (Fig. Q5) is subjected to an internal pressure, p. The steel used for the cylinder has a yield stress of 240 MPa. +F 200 mm Fig. Q5 (a) If a tensile axial force of 1MN is applied to the end plate, show that the maximum internal pressure that can be applied before the cylinder yields according to the Tresca criterion is 16.2...
First figure is the original length, radius, thickness, etc according to given variables aaginal culindrical cylindrical thin walled rubber rubber e pressure vessel length :L+x plastic modUIUS R E radius: thickness : T poisson's Ratio : v =0.9. x: thermal expansion coefficient It is set to an initial internal pressure (p), then compressed by a neighboring moving plate that moves from 2 > LtX to 2 :1. This causes a toree F.. s from the outside we can cool the...
The hollow thin-walled hollow section of aluminium alloy illustrated below is 1200 mm long. It has one free end and the other is built into a solid wall. At the free end, the following loads are applied in the directions illustrated and distributed evenly over the perimeter of the section:- A central, axial compressive load, P = 10 kN; and A torque, T = 0.2 kN.m. Properties of the aluminium alloy are given as E = 72 GPa and =...
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...
The cylinder consists of spirally wrapped steel plates that are welded at the seams in the orientation shown. Assume β = 30 ∘ . The cylinder has an inside diameter of 31 in. and a wall thickness of 0.3125 in. The end of the cylinder is capped by a rigid end plate. The cylinder is subjected to a compressive load of P = 115 kips and a torque of T = 255 kip-ft, which are applied to the rigid end...
2. (30 points) A very long, straight, solid copper cylinder of radius R (>2R) is oriented with its axis along e z-direction. The cylinder carries a current whose current density is j(r), where r is the radial distance from the cylinder axis. The current density, although symmetric about the cylinder axis, is not constant but varies with r according to 31o a) (10) Obtain an expression for the current /(in terms of Jo, r and R) flowing in a circular...
The cylinder consists of spirally wrapped steel plates that are welded at the seams in the orientation shown. Assume β = 20°. The cylinder has an inside diameter of 34 in. and a wall thickness of 0.3750 in. The end of the cylinder is capped by a rigid end plate. The cylinder is subjected to a compressive load of P = 125 kips and a torque of T= 210 kip-ft, which are applied to the rigid end cap in the...
A cylinder of radius R has the y axis as its central axis, and therefore appears as a circle in the diagram below. The cylinder does not move. A massless string of total length b (greater than TR) is attached to the cylinder as shown in the diagram. A point mass m is attached to the lower end of the string. The motion is in the xz plane. The point P is defined so that the string above P is...