c) A cylinder with external diameter 280mm and internal diameter 200mm is subjected to an internalpressure of 30 MPa. Compare the relative merits of a single thick walled cylinder and a compositecylinder with the inner cylinder whose internal and external diameters are 200mm and 250 mmrespectively. A tube of 250 mm internal diameter and 280mm external diameter is shrunk on themain cylinder. The safe tensile yield stress of the material is 110 MPa and the stress set up at thejunction due to shrinkage should not exceed 10 MPa.

Answered: Image /qna-images/answer/fd64784f-e778-4b6f-95be-2f7fc99e45b8.jpg

c) A cylinder with external diameter 280mm and internal diameter 200mm is subjected to an internal pressure of 30 MPa. Compare the relative merits of a single thick walled cylinder and a composite cylinder with the inner cylinder whose internal and extenal diameters are 200mm and 250 mm respectively. A tube of 250 mm internal diameter and 280mm external diameter is shrunk on the main cylinder. The safe tensile yield stress of the material is 110 MPa and the stress set up at the junction due to shrinkage should not exceed 10 MPa.

c) A cylinder with external diameter 280mm and internal diameter 200mm is subjected to an internal pressure of 30 MPa. Compare the relative merits of a single thick walled cylinder and a composite cylinder with the inner cylinder whose internal and extenal diameters are 200mm and 250 mm respectively. A tube of 250 mm internal diameter and 280mm external diameter is shrunk on the main cylinder. The safe tensile yield stress of the material is 110 MPa and the stress set up at the junction due to shrinkage should not exceed 10 MPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Similar questions

(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
Consider a long thin-wall, 10 cm tube (inner diameter), with a wall thickness of 0.5 mm that is capped on both ends. Find the Von-Mises yield stresses if the tube just starts to plastically deform when an external tensile force of 4000 N and an internal pressure of 200 kPa is applied.
Sketch a tensile member with (a) a rectangular crosssection, (b) a solid circular cross section, and (c) a circulartubecross section, and label the dimensions symbolically (e.g.,label the radius for the solid circular case). For each member, write out the definition of engineering stress in terms of the actual dimensions of the component. If therectangular member has dimensions of width and thicknessequal to 1 cm 0.3 cm, what would be the radius of a solidcircular member such that the stress is equal for an equaltensile load? If a tube has an outer radius equal to that ofthis same solid cylinder, what is the maximum inner radiussuch that the stress does not exceed 200% of the stress inthe solid cylinder?
With a thick walled cyclinder the inner radius is 0.05m and out radius is 0.2m. The internal pressure is 200 MPa - What is the hoop and radial stress at the inner surface? - What would be a suitaable material for the cyclinder under von mises criterion?
2. Another cylindrical component is madeof Enfennering ceramic Al203 but with different dimensions. Here, l=30 cm and the diameter is 4 cm. Assume the same Weibull modulus of 9. Calculate the level of the tensile strength for the following probability of failures: a. Pr (V) = 0.1 b. Pr (Vo) = 0.01 c. What is the survival probability and the failure probability of this component if a stress of 200 MPa is applied?
A cylindrical boiler with an inside diameter of 2.5 m and a wall thickness of 40 mm is made of a steel alloy that has a yield stress of 340 MPa. The internal pressure is 1.5 MPa. 1. Calculate the tangential stress in the cylinder in MPa. 2. Calculate the longitudinal stress in the cylinder in MPa. 3. Calculate the allowable pressure in MPa if a factor of safety of 2.0 with respect to yield is required. Kindly answer all numbers with complete solution. Needed ASAP
Example 133: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MN/m2. (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120 MN/m2.
Compare the torsional rigidities of the following sections: (a) a hollow tube 30 mm outside diameter and 1.5 mm thick (b) the same tube split along its length with a 1 mm gap (c) an equal leg angle section having the same perimeter and thickness as (b) (d) a square box section with side length 30 mm and I .5 mm wall thickness (e) a rectangular solid bar, side ratio 2.5 to I. having the same metal cross-sectional area as the hollow tube. Compare also the maximum stresses arising in each case.
Problem 1: For a 20-ply lay-up [(0/90)s]s in which ply thickness is 0.1 mm and stiffness is: 20. 0.7 [Q = 0.7 2.0 0 GPa 0 0.7 find the residual stresses if the cure temperature is 225°C, and the service temperature is 25°C. Given aj=0.02 x 10-6 *C-1 and a2-22.5 x 10-6 *C-1
4) A sophisticated machinery design has a flat bar fillet component with a thickness of 10mm. For an upgraded version of this machinery,this component is replaced with a flat bar with a hole (without a fillet part). If the thickness of to plate is to be reduced by 20% and allowable stress, largest axial load and stress-concentration factors are to remain same, calculate the values of major width D and hole's radius r for the new component. For the flat bar with fillet: D = 120 mm d = 60 mm r = 8.1 mm Allowable stress = 135 MPa
PCS Problem 104: Punching and Average Compressive Stresses A punch for making holes in steel plates is illustrated above. Assume that a punch having a diameter of 20mm is used to punch a hole10mm thick plate. If a force P = 120KN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the punch? Se figure 104. 3 Figure 104 20mm
Example 133: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MN/m². (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120 MN/m'.