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
A thin walled cylindrical tube open at both ends is made from a metal that has...
Problem 8 Consider a long thin-walled tube with closed ends. The tube is made of soft aluminum, and the equivalent stress-equivalent strain curve is approximated by õ = 22,200(@):28 psi The tube is loaded by internal pressure only. What is the value of ē at which instability occurs? (Don't forget that this is a biaxially loaded situation.) If the tube originally has a 4-in. diameter with a 1/16-in. wall thickness, at what pressure will necking occur? (Instability occurs when the...
1. Consider a thin-walled cylinder which is sealed at both ends which contains a gas under a pressure of 1000 MPa. The cylinder is one meter long, 100 mm in diameter and has a wall thickness of 5 mm. • Determine the hoop stress. • Determine the longitudinal stress.
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...
The thin walled pressure vessel with closed ends shown below is under an internal pressure of P 6 MPa. If the pressure vessel has a radius of r 15 degrees from the longitudinal axis (i.e 144 mm and a wall thickness of t = 5 mm, what is the magnitude of the shear angle stress at an - T x'v). Ensure your answer is in MPa. у у' x x
A spherical pressure vessel is constructed by bolting two hemispheres together along rigid flanges as shown in the sketch. The sphere has an internal diameter of 1.5 m and the plate thickness is 5 mm. Allowable tensile stresses are 45 MPa in the shell and 80 MPa in the bolts. 1. Calculate the allowable gauge pressure. 2. Determine the number of bolts required if the bolt diameter is 25 mm (Note: bolt root diameter = 0.84 × nominal bolt diameter) A thin...
A hollow glass tube A thin-walled hollow circular glass tube, open at both ends, has a radius radius R and length L (see the figure). The axis of the tube lies along the x axis, with the left end origin. The outer sides are rubbed with silk and acquire a net positive change distributed uniformly.
A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture toughness (KIe) of 2.85x107 Nm32. Determine the minimum thickness of the pipe using the leak-before-break criterion assuming a semi-circular shape of the cracks in the vessel wall and a safety factor of 9. (b) 17 marks] A thin-walled pipe of 10...
Problem 1: The in-plane stresses on a thin-walled spherical tank with an internal pressure are 06 = 0o = A 48” diameter spherical tank was designed to operate with internal pressure less than 100psi. Due to valve failure, the pressure increased to 190 psi. The design notebook shows that the tank was designed using Von Mises yielding criterion with a design factor nd = 2. The tank is made of Titanium. Sy = 120 x 102psi. Determine if this is...
(b) A thin-walled pipe of 10 cm diameter is used to carry hot steam at a pressure of 2.5 MPa. The pipe is made with a steel with Young's modulus of 200 GPa, yield strength of 1000 MPa and fracture toughness (Kic) of 2.85x10 Nm32. Determine the minimum thickness of the pipe using the leak-before-break criterion assuming a semi-circular shape of the cracks in the vessel wall and a safety factor of 9. [7 marks] (b) A thin-walled pipe of...
A steel tube with a circular cross section has an outside diameter of 300 mm and wall thickness of 2 mm. The cylinder is twisted along its length of 2 m with a torque of 50 kN · m. (a) Determine the maximum torsional shear stress using Equation Theta= T*L/JG (b) Determine the maximum torsional shear stress using the closed thin-walled tube method. Compare this result to the result of part (a). (c) Assuming the tube does not yield, determine...