The state of stress at a point under plane stress condi- tion is o = 20 MPа, о, = 50 MPa and t = 20 MPa. ху Radius of Mohr's circle representing the above state of stress (in N/mm?) is
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- Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.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.A plane stress state is given by the principal stresses σx =25 MPa and σy= -11 MPa. Determine σx' in the case that the system is inclined by 30 degrees (counter-clockwise). Give your answer in MPa to the nearest whole number.
- 1. A thin-walled cylinder with a diameter of 20 cm and a wall thickness of 2 mm is filled with gas at a pressure of 2 MPa. Calculate the longitudinal stress, and circumferential stress in the cylinder wall.A thin-walled hollow sphere 3.8 m in diameter holds helium gas at 1767 kPa. Determine the minimum wall thickness of the sphere in mm if its allowable stress is 84.8 MPa.IF A STRESS TENSOR AT A POINT ON BODY IS DEFINED BY: determine the state of stress of an element that is oriented by first rotating the xyz axes 45 degree about z axis and then rotating the resulting axes 30 degree about the x axis.
- A state of stress is specified in the figure shown below. Determine the Normal stress σx (mPa) on the Principal Plane if Px = -60 mPa; Py = -84 mPa and v = 55 mPaShows the state of stress (three dimensional) at a point Q within a given stressed body. b- Briefly describe the three normal stress components and the six shear stress components of the stress at point Q. c- Consider a tetrahedron containing point Q and show the forces on the faces of the tetrahedron due to the various stresses. d- How can we derive the equation for the transformation of normal stress by considering the above mentioned tetrahedron?A cylindrical steel tank having an internal diameter of 50 in. is submerged in seawater (weight density =64 lb/ft3) to a depth of 9750 ft. The internal gage pressure in the tank is 1600 psi. (a) If the allowable stress of the steel is 32 ksi, what is the minimum allowable outside diameter of the tank? (b) What is the maximum tensile stress before the tank is immersed? Determine the external pressure of the seawater at a depth of 9750 ft. po= psi Determine the maximum magnitude of σr produced in the tank. σr = psi Based on the maximum magnitude of σr produced in the tank from Part 2, is there an outside diameter for which the radial stress magnitude will exceed the allowable stress of the steel in this case? More calculations are needed. No Yes For this case, choose the correct statement regarding the maximum magnitude circumferential normal stress. It occurs at the outer surface of the tank, and it is tensile. It occurs at the outer surface of the tank, and it…
- The state of stress at a point can be described by σx = 40 MPa , σy = 64 MPa , and τxy = 18 MPa . A second coordinate system is rotated by θ = 25 ∘ A) What is the normal stress in the direction of the x′-axis? B) What is the shear stress in the y′-direction for the faces with a normal in the x′-direction? C) What is the normal stress in the direction of the y′-axis?The cylindrical steel tank shown is 3.5m in diameter 5m high and filled with brine solution. Brine has a density of 1198kg/m3. The thickness of the steel shell is 12.5mm. Calculate the tangential stress and the longitudinal stress in the tank, MPaAt a point on the free surface of a machine part (E = 214 GPa, G = 83 GPa), the state of the stress is illustrated in the figure below. For the given plane stress condition determine: -all 3 principle stresses, the max in plane stress, average noemal stress and the absolut max shear stress. - Show the principle stress, the max inplane shear stress and the average normal stress on an appropriate schematic