hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its Poisson's ratio? Oy Ox
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- The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If the system is initially stress-free, calculate the temperature change that will cause a tensile stress of 90 MPa in the brass rod. Assume that both rods are subjected to the same change in temperature.The stresses shown in the figure act at a point in a stressed body. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown.For the cross-section shown in Figure 1, constructed of an elastic perfectly plastic material, determine: a) Moment at first yield (yielding moment) for bending about the horizontal axis only b) Fully plastic moment (plastic moment) for bending about the horizontal axis only Given: Yield stress = 8616 in MPa
- Explain briefly Saint Venant's principle and stress concentration.with physical model demonstration.A water tank made from a steel having a thickness of 12mm has the following dimensions. Internal Diameter:4 meters Height:6 meters Determine the circumferential stress in the walls of the water tank and longitudinal stress at the bottom of the water tank if the internal pressure inside the tank is 7.36 MPa. Answer should be in MPa.A material has the stress–strain behavior shown in Figure P1.2. What is the material strength at rupture? What is the toughness of this material?
- Prove that the strain on the volume of a sphere is equal to three times the strain on it's diameterThe stresses shown in the figure act at a point in a stressed body. Determine the normal and shear stresses at this point on the inclined plane shown.The allowable stress ( referred to as the yield stress ) for the bar shown in the figure below is given as sigma ymeld =250 MPa. What is the maximum force in N that the bar can support ? (the small arrows indicate the direction of the applied force ). If the picture isn't clear , the bar is 5mm thick and 10 cm wide .
- The strain components εx, εy and γxy are given in Table 1 for a point in a body subjected to plane strain. Determine the strain components εn, εt and γnt at the point if the n-t axes are rotated with respect to the x-y axes by the amount and in the direction indicated by the angle θ shown in Figure P13.6. Sketch the deformed shape of the element under the applied strains,In the bar system in the figure, the material is ideal elasto-plastic and the yield stress is given as σA = 440 Mpa. Since the cross-sectional areas of the rods number one and two are given as A = 250 mm2, find the force P (kN) that will bring the system to the yield point. (a = 5m b = 1m)A steel rod, which is free to move, has a length of 200 mm and diameter of20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C,determine the length and the diameter of this rod to the nearest micron atthe new temperature if the linear coefficient of thermal expansion of steel is12.5 * 10-6 m/m/°C. Is there a stress on the rod at 115°C?