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Online Homework 2 Thin-walled Vessel Design due to Internal and External Pressure INSTRUCTIONS: Solve the following...
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
Problem 3 [35 marks] An inspection of a failed thin walled pressure vessel (cylinder with closed ends) shows through- the-thickness cracks in the axial (or longitudinal) direction. The length of the cracks varies from 10 mm to 25 mm. The pressure vessel has radius R = 1.5 m, wall thickness t = 30 mm, and was manufactured from aluminium with fracture toughness properties Kịc = 50 MPa m12. a) Determine the pressure at which the vessel is expected to have...
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...
Problem 5. A thin-walled cylindrical pressure vessel of radius 50 mm and thickness 5 -mm, made of steel, is subjected to an internal pressure which is fluctuating from -0.2P to P. (i) Determine the safe pressure P according to each of the following criteria': (a) The Soderberg Criterion, (b) The Goodman Criterion, and (c) The Gerber Criterion (ii) Draw these criteria on same coordinates and include the load line. (iv) If a 20-MPa pressure is used what would be the...
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. ...
Question 3 A typical load case for a cylindrical pressure vessel which is on the back of a truck is estimated to include the d 1.5 m t10 mm internal pressure of p = 2 MPa torsion of and a p = 2 MPa T= 1000 kNm. The internal diameter of the pressure vessel is 1.5 m and the wall thickness is 10 mm. The vessel is made of steel with a yield stress of Sy = 400 MPa Based...
Problem 32 Determine the internal pressure that would cause yielding of the cylindrical thin walled pressure vessel. The ends are capped. The pressure vessel is made of A36 steel a) 600 psi b) 400 ksi c) 300 psi d) 200 psi e) 150 psi 60 in
Q2. Figure Q2 shows a cylindrical pressure vessel made by welding semi-spherical caps to a cylindrical body. The cylindrical part has inner diameter Di = 1.8 m and the wall thickness, t, is uniform and equal to 6 mm. The internal pressure is p = 1.5 MPa. d) What is the value of a force F, applied in the direction of the axis of the cylinder which would make the direct stress in longitudinal direction, in the cylinder wall, one...
Question 1 An end capped cylindrical pressure vessel with internal pressure p = fully supported at one end, is also subjected to a force F= 10 kN in the y direction at the other end as shown. The internal diameter of the pressure vessel is d= 160 mm and its thickness is t= 10 mm 3 MPa, assumed to be Determine the magnitudes of the stress components in x, y and z coordinates at points H and K and sketch...
Prob #4 A cylindrical thank is designed to withstand an internal pressure of3 MPa. The tank has an inner diameter of 4 m and the wall thickness is 40 mm. The tank is fabricated by bolting together (on both sides of the vssel) two half-cylindrical longitudinal thin shell sections as shown. The diameter of the bolts is 25mm and the bolts are made from a material with allowable stress of 250 MPa 18. The hoop stress sustained by the tank...