A compound vessel is obtained by shrinking an external cylinder of internal diameter equal to 200...
3.5 A compound thin cylinder has a common diameter of 100 mm and the inner cylinder has a thickness of 2,5 mm. The radial pressure between the two cylinders is 200 kPa and the difference between the two common diameters before shrinkage was 4,305 x 10-3 mm. Determine the (a) thickness of the outer cylinder; (b) resultant hoop stresses in both cylinders if the compound cylinder is subjected to an internal pressure of 180 kPa (E 200 GPa). 2 mm]...
please make it easy to understand Question Four (a) A steel ring of 300 mm and 200 mm external and internal diameters res solid steel shaft. The interference is arranged such that the radial pressure between the mating surfaces will not fall below 30 MN/m2 whilst the assembly rotates in service. If the maximum circumferential stress on the inner surface of the ring is limited to 240MN/m2, and there is no relative slip between the shaft and the ring, determine...
Problem 4 [40 marks] A brass cylinder (E = 75 GPa and v = 0.33) of outer radius 150 mm and inner radius 100 mm is to be press-fit over a steel cylinder (E = 200 GPa and v = 0.28) of outer radius 100.02 mm and inner radius 50 mm. a) Find the interface pressure; [20 marks] Draw the radial and hoop stresses in both cylinders generated due to misfit; [20 marks] c) For Masters Students only: Draw radial...
A mild steel sleeve 14 cm inside diameter and 20 cm outside diameter is subjected internal pressure of 45 N/mm. The sleeve is rigidly hooped so that the ero. Determine the values of the radial and circumferential stresses outer surfaces. Proceed from Lame's equations and neglect axial stresses. v = 0.3 (Ans: inner: -45 N/mm, +2.2 N/mm², outer: -32.8 N/mm, -9.9 N/mm)
A thick cylinder is 100 mm outer diameter and 50 mm inner diameter. It is pressurised to 112 MPa gauge on the inside. Take E = 205 GPa and ν = 0.27. Calculate the following: a). The circumferential stress on the outside layer b). The circumferential stress on the inside layer c). The longitudinal stress d). The circumferential strain in the outside layer e). The circumferential strain in the inside layer f). The change in the inner diameter g). The change...
2. (15 points) A pressure cylinder with an outer diameter do = 200 mm and wall thickness t = 6 min carries an internal pressure of 4 MPa. Determine the maximum tangential, radial, longitudinal stresses in the cylinder. What is the maximum shear stress? [Ans: ơttinax-64.73 MPa, ơrr, max-一4.00 MPa, dzina.-30.36 MPa, and Tmax-34.37 MPa.
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...
please answer 18.11 and 18.12 18.11 A steel ring with an outside diameter of 150 mm and an inside diameter of 100 mm is shrunk onto another steel ring with an inside diameter of 50 mm. An axial force of 56,54 kN is needed to push the rings apart. Calculate the pressure at the mating surface and the shrinkage allowance given that both rings are 20 mm thick and the coefficient of friction between the mating surfaces is 0,2. Using...
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...