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Problem 1: (a)A thick-walled cylinder, made from a homogeneous and isotropic elastic material, has an inner...
The cylinder of a hydraulic jack has a bore (inner diameter) of 150mm and is required...
The cylinder of a hydraulic jack has a bore (inner diameter) of 150mm and is required to operate upto an internal pressure of 13.8 MPa. Determine the outer diameter for the hydraulic jack if the maximum tensile stress in the material cannot exceed 41.4 MPa
Problem 1 [45 marks] A cylinder (= 230 MPa) which is initially free from residual stress...
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...
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...
(b) Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner...
(b) Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R, and outer radius, R2 and subjected to internal pressure only. (6 marks)
UESTION # 2: (20 Marks) The thick cylinder shown in Fig. Q2(a) is made of high strength steel wit...
UESTION # 2: (20 Marks) The thick cylinder shown in Fig. Q2(a) is made of high strength steel with an internal diameter of 200 mm and an external diameter of 300 mm. It is subjected to an internal pressure P 60 MPa The cylinder is assumed to have closed ends, as depicted in Fig. Q2(b) (a) Determine the stress state acting on the element abcd located on the outer surface of the cylinder as a result of Pi; see Fig....
A 5" diameter abrasive cutoff wheel 1/16 in thick, and has a 1/2-in bore. It weighs...
A 5" diameter abrasive cutoff wheel 1/16 in thick, and has a 1/2-in bore. It weighs 10 oz and is designed to run at 15 000 RPM. If the material is isotropic and v=0.25, find the maximum shear stress at the design speed. 1. 2. A cylindrical pressure vessel has an outside diameter of 9" and a wall thickness of 0.25". If the internal pressure is 470 psi, what is the maximum shear stress? If a torque of 75 in-lbs...
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...
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where...
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where λ-RRi. Plot in a diagram the value of η as function of λ.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+),...
A thin walled cylindrical tube open at both ends is made from a metal that has...
A thin walled cylindrical tube open at both ends is made from a metal that has a shear yield stress of k=550-MPa and has a diameter of 0.5-m. The maximum intended internal pressure during use is 35-MPa. If the cylinder tube is not to yield, what is its minimum wall thickness according to: a.) Von Mises yield criterion b.) Tresca’s yield criterion
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...
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...
(b) Derive the expression of longitudinal stress, o, for a closed thick cylinder which has inner radius, R, and outer radius, R2 and subjected to internal pressure only. (6 marks)
UESTION # 2: (20 Marks) The thick cylinder shown in Fig. Q2(a) is made of high strength steel with an internal diameter of 200 mm and an external diameter of 300 mm. It is subjected to an internal pressure P 60 MPa The cylinder is assumed to have closed ends, as depicted in Fig. Q2(b) (a) Determine the stress state acting on the element abcd located on the outer surface of the cylinder as a result of Pi; see Fig....
A 5" diameter abrasive cutoff wheel 1/16 in thick, and has a 1/2-in bore. It weighs 10 oz and is designed to run at 15 000 RPM. If the material is isotropic and v=0.25, find the maximum shear stress at the design speed. 1. 2. A cylindrical pressure vessel has an outside diameter of 9" and a wall thickness of 0.25". If the internal pressure is 470 psi, what is the maximum shear stress? If a torque of 75 in-lbs...
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...
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where λ-RRi. Plot in a diagram the value of η as function of λ.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+),...
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