




with steps please!!! Question3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal...
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.
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...
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...
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 yield stress of 240 MPa. +F 200 mm Fig. Q5 (a) If a tensile axial force of 1MN is applied to the end plate, show that the maximum internal pressure that can be applied before the cylinder yields according to the Tresca criterion is 16.2...
A spherical shell 2.5 m diameter and 4 mm thick, is subjected to an internal pressure 'p'. Suggest the maximum value of the internal pressure, if the failure of the shell is to be prevented according to the following theories of elastic failure: (a) Maximum shear stress theory (b) Maximum distortion energy theory The yield point of the material of the shell in simple tension is 280 MPa and the Poisson’s ratio is 0.3. Assume the factor of safety to...
It is required to design a square key for fixing gear on a shaft of 50 mm diameter. 14 KW power at 317 rps is transmitted from the shaft to the gear. Determine the applied Torque in N-m It is required to design a key for fixing gear on a shaft of 50 mm diameter. It is required that 15 kW power at 720 rpm is to be transmitted from the shaft to the gear. The yield strength of the...
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...
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)...
A3. A pressurized cylinder has an internal diameter of 80mm and a wall thickness of 3mm. If the yield stress of the materials is 250 MN/m' and the factor of safety is 2.5. determine the maximum internal pressure within the design limit. (8 marks)
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...