The specification of a cylindrical vessel are as follows: D = 350 mm t = 12 mm P = 4.5 MPa Determine the a) Longitudinal Stress; b) Transverse Stress ; and c) new diameter and wall thickness if the 550-mm length cylindrical vessel is replaced by a spherical vessel of the same volume and equal material strength.
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- Problem #2: The following tank presents the following data: • External diameter of 16 inches • ½ inch wall thickness • Internal Pressure 600 psi. 12 kip ft ! B 48 kip ft A 16 in. - p = 600 psi For point B, determine: a) The state of normal and shear stresses. b) The maximum and minimum efforts. Indicate the orientation of the principal axes c) The maximum shear stress. Indicate the orientation of the axes for this effortDifficulty (3/5) Dimensions: a b 44 in 0.033 in segure and-cap effects 1900 Problem Statement: A cylindrical pressure vessel with dimensions given carries an internal pressure of 21 psi. Find the axial stress and the hoop stress induced in the wall of the vessel Answers: Oheep" be sure to include units with your answersm = 18kg and L = 1.28 m
- Consider the material Al-$456 It has the following physical ploperties Syleld = 230mPA %3D s-72GPA (modulos elasticity) Oultimate=315 mPA G- 28GPA Cmad vlus rigidity) Tuield =130 mPA Joltimate=185 mPA A Calculate Poisson's ratio B) If we have a following dimensions And Forces 3-0 block of Al-5456 with the Ex =800N X= Bcm Fy=1000N ) Is Our block Safes (consider only plane stes) Dset up the 3 eqetions to find the strains (Ex Ey E2) in each directian E Solve the 3exuations to find the Einal dimensions of our blockTASK A hydraulic cylinder with a bore radius of 100 mm and an outer radius of 200 mm has been designed to withstand a maximum internal pressure of 200 MPa in service. During operation, the pressure within the cylinder is retained by a freely sliding piston. The steel used in the manufacture has Young's modulus of 210 GNm-². Note: There is no axial stress generated in the cylinder wall in this application. 1. Elastic Stress Distributions in a Single Cylinder a) At an operating pressure of 200 MPa, calculate using Lame's equations the radial and circumferential stresses at the cylinder bore and the outer surface. Graphically present (sketch) the general form of variation of each of these stresses across the cylinder wall, clearly indicating the calculated values at the cylinder bore and at the outer surface.Find the stresses in each direction, also find the change in volume of the block of dimension 120 mm x 60 mm x 43 mm, subjected to 3 mutually perpendicular loads. The load along length, breadth and depth directions are 10 kN (tensile), 25 kN (tensile), 13 kN (compressive) respectively, Take E as 180 GPa, Poisson's ratio as 0.3. The stress along length direction (Unit in kN/m2)= _____________ The stress along width direction (Unit in kN/m2)= _____________ The compressive stress along depth direction (Unit in kN/m2)= _____________ The change in volume of the block is (unit in mm3) = ______________
- A 2.4 diameter steel molding is lifted by 4 steel cables as shown. The mold weighs 3 kN/m. (a) what is the required diameter of wire that will not exceed the allowable stress of 120 MPa. and (b) if the wire diameter increase by 20%, find the vertical displacement of the molding. 24mQ1-B // A steel bar has a square section of 10 mm side and a length of 60 mm, subjected to a tension force of 50 KN, as a result the bar has extended 2 mm; Calculate: 1-Yong modulus 2- The engineering stress 3- The engineering sustain 4- The true stress 5- The true strain 6- The percentage reduction in AreaThe specification of a cylindrical vessel are as follows: D = 350 mm t = 12 mm P = 4.5 MPa Determine the a) Longitudinal Stress; b) Transverse Stress ; and c) new diameter and wall thickness if the 550-mm length cylindrical vessel is replaced by a spherical vessel of the same volume and equal material strength.
- 5. Determine the diameter of a tensile member of a circular cross-section. The following data is given : Maximum tensile load = 10 kN; Maximum compressive load = 5 kN; Ultimate tensile strength = 600 MPa; Yield point = 380 MPa; Endurance limit = 290 MPa; Factor of safety = 4; Stress concentration [Ans. 24 mm] factor = 2.2Answer the questions below for the following system. Young's modulus and Poison's ratio can be taken as 200 GPa and 0.3, respectively. a) Calculate and determine the stress state for point H using undergraduate level solid mechanics knowledge? b) Determine the principal stress values at point H using undergraduate level solid mechanics knowledge Top view of section where H is located O Point H 300 mm 120 mm 540 mm .H Diameter of the pipe d=36 mm P=900 NProblem 4 A thin-walled cylindrical pressure vessel has an internal diameter of d = 2 m and a wall thickness of t = 20 mm. The pressure vessel is subjected to an internal gauge pressure of p = 1.5 N/mm² and an axial tensile force of T = 2500 kN. T a) Calculate the principal stresses, σ₁ and ₂, in the pressure vessel. b) Sketch Mohr's circle for the pressure vessel and label 0₁, 02, and the maximum shear stress, Tmax· c) Calculate the maximum shear stress, Tmax, and indicate its orientation relative to the longitudinal axis of the cylinder. d) Use Mohr's circle to calculate the stresses in an element that is oriented at 30° counter- clockwise from the longitudinal axis of the cylinder.