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- -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aA spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively..4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
- An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial .is in the and is subjected to stresses a, = 6250 psi and a. = -1750 psi, as shown in the figure. Using Mohr s circle, determine the following: (a) The stresses acting on an element oriented at a counterclockwise angle ? = 550 from the x axis. (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial stress and is subjected to stresses a = -48 MPa and ay = 19 MPa, as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at a counterclockwise angle ?? = 25° from the x axis. (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.
- At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clementRepeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
- Use 32 in2 and 48 in2 cross-sectional areas for tensile and compressive members, respectively. Determine the axial stress in member CH in psi. (Numerical absolute answer only without units in 3 decimal places)1.A cylindrical pressure vessel is 500 mm in diameter and has a wall thickness of 22 mm. If it is subjected to an internal pressure of 5 MPa, determine the tangential and longitudinal stresses developed in the cylinder.A cylindrical pressure vessel is fabricated from steel plating that has a thickness of 30 mm. The outer diamter and thickness of the pressure vessel is 500 mm and 10 mm. Its length is 2m. Determine the maximum internal pressure (MPa) that can be applied if the longitudinal stress is limited to 155 MPa, and the circumferencial stress is limited to 55 MPa.