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 yie...
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...
with steps please Question4 A thick-walled cylinder of mild steel with internal diameter of 80 mm and external diameter of 120 mm is loaded by internal pressure. The yield strength of the material is 300 MPa. a. Find the internal pressure required to initiate yielding in the cylinder using Lame's formulation. Sketch the stress distribution giving significant stress values. b. Find the plastic limit pressure at which the cylinder is fully plastic using non-linear formulation. Sketch the stress distribution giving...
with steps please!!! Question3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results. Question3 Design a thick-walled metallic cylinder of a...
A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is subjected to a gradually increasing internal pressure P. I. Using accurate formulation, determine the value of P and sketch the distribution of radial, tangential and maximum shear stresses when: a. The material of the cylinder first commences to yield. b. Yielding progressed to mid-depth of the cylinder wall (at D= 20 mm ). c. The material of the cylinder suffers complete collapse (fully...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The answer to each part of the question is to be used for subsequent parts (a)Determine the stresses on the outer surface of the cylinder at points A and B due to (8 marks) (b) Determine the minimum internal pressure p required if the...
Question 3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results.
UESTION # 2: (20 Marks) The thick cylinder shown in Fig. Q2(a) is made of high strength steel with an internal diameter of 200 mm and an external diameter of 300 mm. It is subjected to an internal pressure P 60 MPa The cylinder is assumed to have closed ends, as depicted in Fig. Q2(b) (a) Determine the stress state acting on the element abcd located on the outer surface of the cylinder as a result of Pi; see Fig....
A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture toughness (KIe) of 2.85x107 Nm32. Determine the minimum thickness of the pipe using the leak-before-break criterion assuming a semi-circular shape of the cracks in the vessel wall and a safety factor of 9. (b) 17 marks] A thin-walled pipe of 10...
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...
(b) A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture toughness (Kic) of 2.85x10 Nm32. Determine the minimum thickness of the pipe using the leak-before-break criterion assuming a semi-circular shape of the cracks in the vessel wall and a safety factor of 9. [7 marks] (b) A thin-walled pipe of...