Define the main difference between thick and thin cylinders and give an example for each type of cylinder Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only. Figure Q3 shows a cross section of composite cylinder that is made by shrinking a tube of 330 mm internal diameter and 50 mm thick over another tube of 330 mm external diameter and 50 mm thick. The radial pressure at the common surface, after shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid pressure of 1200 MPa, determine; i) the hoop stresses at inner radius and outer radius of inner cylinder, ii) the hoop stresses at inner radius and outer radius of outer cylinder. Ro P ↓ Figure Q3 R₁

Define the main difference between thick and thin cylinders and give an example for each type of cylinder Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only. Figure Q3 shows a cross section of composite cylinder that is made by shrinking a tube of 330 mm internal diameter and 50 mm thick over another tube of 330 mm external diameter and 50 mm thick. The radial pressure at the common surface, after shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid pressure of 1200 MPa, determine; i) the hoop stresses at inner radius and outer radius of inner cylinder, ii) the hoop stresses at inner radius and outer radius of outer cylinder. Ro P ↓ Figure Q3 R₁

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

this is about thermal stress
None
6.13 A brass rod is a firm fit inside a steel tube 2 cm inside diameter and 4 cm outside diameter when the materials are at 15°C. If the rod and tube are now heated to a temperature of 150° C, calculate the maximum stresses in the brass and steel. Take the coeffi- cient of expansion for steel and brass as 10.8 × 10-6 and 18 x 10-6 per °C respectively. For steel E = 200 GPa and for brass E = 85 GPa. Poisson's ratio for both = 1/3. Neglect longitudinal frictional forces between the rod and the tube. %3D eleo
Machine design please try to explain with some word
A segment of a generator shaft is subjected to a torque T and an axial force P, as shownin the Figure Q3. The shaft is hollow (outer diameter d2 = 307 mm and inner diameterd1 = 250 mm) and delivers 1800 kW at 4.0 Hz (a) If the compressive force P = 540 kN, determine the stresses produced and thestate of plane stress on its surface. (b) Calculate the principal stresses and the maximum in-plane shear stress in theshaft. Specify the orientation of the element in each case.
Figure Q2 shows the cross-section of a closed ended thick-walled cylinder with inner radius, ri, 0.1 mand outer radius, ro, 0.2 m. The cylinder is subjected to internal pressure, pi and external pressure, po.One of the design specifications is to maintain the hoop stress at the outer surface of the cylinder at zerovalue. If po = 50 MPa and by using Lame’s equations for thick-walled cylinder, (a) determine the value of pi to achieve the design specification (b) sketch the hoop, radial, and longitudinal stress variations across the wall thickness and label their values at the inner and outer radius of the cylinder (c) determine the absolute maximum shear stress existing in the cylinder wall material
In the figure, a solid copper rod with an expansion coefficient α copper = 165.10-7 1/ºC is 20 mm in diameter. It is placed in a steel pipe with an outer diameter of 30 mm with an inner diameter of 2 mm larger than this bar and an expansion coefficient αsteel = 125.10-7 1/ºC, and is combined with a rigid plate from the top so that they move together. Find the stresses that will occur in steel and copper when the system is heated with a temperature difference of Δt = 80 ºC. (Esteel=200 GPa, Ecopper=100 GPa)
None
In mechanical resistance
The stresses at a point on the surface of a generator shaft are o =-50 MPa, o, = 30 MPa and Try shown in Figure Q3. (Consider only the in-plane stresses. Note: the radius of the = -40 MPa as circle is given by R = ) + ()). Construct the Mohr's circle showing the centre of the circle as well as points A and B. (a) (b) Determine the principal stresses. (c) Show the principal stresses on a sketch of a properly oriented element. (d) Determine the maximum shear stresses. (e) Show the maximum shear stresses on a sketch of a properly oriented element. MPa B. A MPa MPa