A small closed cylinder has dimensions 50 mm external diameter by 160 mm long with 0.25...
A small closed cylinder has dimensions 50 mm external diameter by 160 mm long with 0.25 mm wall thickness. (a) What is the allowable internal pressure if the safe tensile stress for the material is 250MPa? (b) What change in length and diameter occurs in the cylinder if it is pressurised to this value? Take E = 200 GPa, and ν = 0.3.
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A small closed cylinder has dimensions 50 mm external diameter
by 160 mm long with 0.25...
A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is sub...
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 diame...
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 yie...
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 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 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...
A submarine has an external diameter of 5.5m. If the maximum stress allowed in the material is...
A submarine has an external diameter of 5.5m. If the maximum stress allowed in the material is 160 MN/m2, analyse and compare the maximum safe working depth given by both Thin and Thick Cylinder Theories for wall thicknesses of: 25mm, 35mm and 45mm. Ignore any internal pressure. Density of sea water = 1023 kg/m3. Which theory is preferred, and why?
Problem 1. A cylinder subjected to internal pressure p, has an outer diameter of 400 mm...
Problem 1. A cylinder subjected to internal pressure p, has an outer diameter of 400 mm and a wall thickness of 20 mm. The cylinder is made of a material with = 60 MPa.m1/2 and contains a radial crack in the longitudinal direction of depth 8 mm. Assuming a design factor na 1.5, determine the pressure which causes uncontrollable crack growth. r: σ ! 1+윽 | . Where, and, are wall's internal and external radii, respectively)
Thin walled pressure vessels
A pressurised cylindrical container has a sealed cover plate fastened with steel bolts as shown below. The internal pressure p in the thin cylinder is 1900 kPa, the inside diameter D of the cylinder is 250 mm and the diameter db of the bolts is 12 mm. 1. If the allowable tensile stress in the bolts is 70 MPa, find the number of bolts needed to fasten the cover plate. ...
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. Fo...
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. For a point on the outer surface of the tank, determine: a. the maximum normal stress b. the maximum shearing stress Part B. As a result of several tensile tests, it has been found that the tensile yield strength for...
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 r...
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]...
AY 2 019 SUNDAY MONDAY TUESDAY WED PART1 Strength of Materials for Technicians 4th Edition 50 33 A steam boiler is to have a 300 mm diameter hand hole placed on one end. If the internal pressure i...
AY 2 019 SUNDAY MONDAY TUESDAY WED PART1 Strength of Materials for Technicians 4th Edition 50 33 A steam boiler is to have a 300 mm diameter hand hole placed on one end. If the internal pressure is to be 1,3 MPa, how many 15 mm bolts will be required to keep the cover ie in position? The root diameter of a 15 mm bolt is 12 mm. The allowable tensile stress in the bh is 100 MPa and the...
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...
Problem 1. A cylinder subjected to internal pressure p, has an outer diameter of 400 mm and a wall thickness of 20 mm. The cylinder is made of a material with = 60 MPa.m1/2 and contains a radial crack in the longitudinal direction of depth 8 mm. Assuming a design factor na 1.5, determine the pressure which causes uncontrollable crack growth. r: σ ! 1+윽 | . Where, and, are wall's internal and external radii, respectively)
air under a pressure to 16 MPa. The tank has a 180 mm inner diameter and a 12 mm wall thickness (40 points) A torque of magnitude T-24kN-m is applied to the end of a tank containing 3. Part A. For a point on the outer surface of the tank, determine: a. the maximum normal stress b. the maximum shearing stress Part B. As a result of several tensile tests, it has been found that the tensile yield strength for...
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]...
AY 2 019 SUNDAY MONDAY TUESDAY WED PART1 Strength of Materials for Technicians 4th Edition 50 33 A steam boiler is to have a 300 mm diameter hand hole placed on one end. If the internal pressure is to be 1,3 MPa, how many 15 mm bolts will be required to keep the cover ie in position? The root diameter of a 15 mm bolt is 12 mm. The allowable tensile stress in the bh is 100 MPa and the...
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