Problem 4 [40 marks] A brass cylinder (E = 75 GPa and v = 0.33) of...
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]...
A compound vessel is obtained by shrinking an external cylinder of internal diameter equal to 200 mm and external diameter equal to 300 mm over a cylinder of internal diameter equal to 150 mm and external nominal diameter equal to 200 mm. Both cylinders are made of steel (E 205 Gpa) and an interference equal to 0.15 mm is used at the mating surface Calculate the radial and circumferential stresses at the inner and outer surfaces of the two cylinders,...
4. Consider the situation of radial flow between two concentric cylinders. The outer cylinder has a radius of R and the inner cylinder has a radius KR. Assume flow is only in the radial direction and assume v, = v(r). Use the continuity equation and the relevant momentum balance equations to derive an expression for the pressure difference Pi-Po between the outer and inner cylinders as a function of the volumetric flow rate with L being the length of the...
ity, 1, and Reliability 4. A hollow aluminum cylinder is pressed over a hollow brass cylinder as shown. Both cylinders are 5 cm long, The interference is 0.010 cm. The average coefficient of friction during assembly is 0.25. The pressure on the cylinders is 37 MPa. aluminum alloy, E-70 kN/mm2, v = 0.33 brass, E-100 kN/mm2, v = 0.36 Mechanical Design/Analysis 2.5 cm 5 cm 7.5 cm T= 2liramp! What is most nearly the initial axial disassembly force required to...
Івите Question 4 (20 marks] (4.1) for the axial loading shown in figure 4, determine the change in height and the of the brass cylinder. (4.2) solve part (4.1), considering a hydrostatic loading with -70 MPa x = Oy = Oz = 85 mm - " = -55 MPA E = 105 GPa V = 0.33 135 mm
Problem 1 [45 marks] A cylinder (= 230 MPa) which is initially free from residual stress has internal radius 0 = 20 mm and external radius a = 50 mm. Determine: a) The maximum internal pressure without yielding the cylinder. Give your answer in MPa. (5 marks] b) The fully plastic internal pressure. Give your answer in MPa. [5 marks] C) The radius to which the material yields, when the pressure is 150 MPa. Give your answer in mm. [10...
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...
Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner radius a and outer radius b. The cylinder is subjected to an internal pressure pi, and is under plane stress conditions. In this case the displacement field is of interest is given by and the stress field of interest is given by C2 C2 where, with (E and v) denoting the Young's modulus and the Poisson's Ratio. EA EB Show that b2 b2 (b/a)2-1)...
Please help me with this problem 2. A composite cylinder is formed by a long cylindrical rod (A) and two concentric cylinders (tubes B and C). Tube B encloses trod A and its inner and outer radii are 20 mm and 40 mm, respectively. Tube C encloses tube B and its outer radius is 50 mm. A thin electrical heater is inserted between rod A and tube B. The rod (A) has a thermal conductivity of 2.5 w/m K, while...
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...