The three-dimensional state of stress at ap given by 30 10 -10 [0] = 10 20 MN/m? %3D -10 20
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- The gas tank consists of a cylindrical section with two hemispherical endcaps. The cylinder has a diameter of 75 cm and a wall thickness of 2 cm. If the allowable circumferential stress is 150 MPa and longitudinal stress is 100 MPa, find the maximum allowable internal pressure in the tank. Answer: P = ___________________A 1.5-m-diameter cylindrical tank is formed of 6-mm-thick sheet steel (E = 200 Gpa, ν = 0.3). The maximum shear strain occurring in this tank when the contents pressure is 1 MPa, is:Q2/ How much fluid is required to raise the pressure in a thin cylinder of length 3 m, internal diameter 0.7 m, and wall thickness 12mm by 70kN/m*? E = 210GN/m* and v = 0.3 for the material of the cylinder and K = 2.1 GN/m* for the fluid.
- The propane storage tank shown in Photo has an outer diameter of 3.3 m and a wall thickness of 18 mm. At a time when the inter-nal pressure of the tank is 1.5 MPa, determine the maximum normal stress in the tank.A thinwalled, filamentwound pressure vessel is pressurized such that at a point in the wall is in the figure below. ?=[ ????????0 (c)the magnitude of the normal stress acting on the filaments, and (d)the magnitude of the shear stress (b)the magnitude of the traction vector acting alongthe direction of the filament winding. −????????0 Determine: ] suitable stress tensor ?′for a rotated coordinate axis. (You can use Matlab or a calculator to The filament winding angle is ?=53.13°from the longitudinal axis ofthe pressure vesseas shown Noting that the transformation matrix to rotate the x-y coordinate system anticlockwise by ?is: (e)find the magnitude of the normal stress and shear stress acting on the filaments by finding a (a)Write down the stress tensor in the xyzcoordinate system. under a plane-stress state with ???=10.946MPa, ???=21.892MPaand ???=0MPa. 001 perform the tensor multiplications)shear stresses.(c) Angle of principal stresses (6p)(d) Angle of maximum shear stress (6s) * ay=-40. Y=70.00 ox=20.
- Q1 In a stressed system, discuss how the changes in dimensions in the direction of length and cross-section area are related. How will you correlate stress and strain in a three dimensional stressed system? PLEAS solve it with details2.4-2. Shear Stress and Shear Rate in Fluids. Using Fig. 2.4-1, the lower plate is being pulled at a relative velocity of 0.40 m/s greater than the top plate. The fluid used is water at 24°C. a. How far apart should the two plates be placed so that the shear stress t is 0.30 N/m^2? Also, calculate the shear rate. b. If oil with a viscosity of 2.0 x 10^-2 Pa•s is used instead at the same plate spacing and velocity as in part (a), what is the shear stress and the shear rate?if the stress tensor at appoint on a body is defined by: -8 6 -21 [0] = 6 4 2 MPa 1-2 2-5) Determine the state of stress on an element that is oriented by first rotating the xyz axes 45° about the z axis and then rotating the resulting axes 30° about the x axis
- mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.Q1 In a stressed system, discuss how the changes in dimensions in the direction of length and cross-section area are related. How will you correlate stress and strain in a three dimensional stressed system?A hydraulic system is used to apply a force in an external fixation device to hold brokenends. The piston of this hydraulic ram is 30 cm in diameter and the water pressure is 3 MN/?2 Determine The stress in the piston rod which has dimeter of 4 cm