Q2/ Find the Stress Concentration in Plate as shown in figure (4) Ex 200 GPa Ey-180 GP 1,03 11 7315 10 100 N Pressure- 20 Mpa R-2 Figure (4)
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- Repeat the previous problem using sx= 12 MPa.A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).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 rectangular plate, 30mm by 60 mm is subjected to a tensile force of 5kN in the direction of the plate’s larger side. The plate has a circular hole at the center with diameter of 15mm. If stress concentration factor=2.16, find the thickness of the plate if maximum allowable tensile stress is 80N/mm².Pressure inside the cylinder is 10 bars Is this a thin walled cylinder when the thickness is 10 mm. Estimate theoretically the hoop andlongitudinal stressesmechanics 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 100 × 50 × 25mm steel block is subjected to a hydrostatic pressure of 5 MPa. The Young's modulus and Poisson's ratio of the material are 150GPa nd 0.2 respectively. The change in the volume of the block in mm³ isThe more severe the change in geometry, the larger the stress concentration. Is it true or false? How?P = 80 kN σt = 150 MPa t = 8.0782 mm Can you help me solve for d2?
- 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?When an object is placed underwater, the pressure on the object is subjected to uniform stress on all sides. a) define volume strain, the bulk modulus, compressibility, and the relationship between the bulk modulus and compressibility. b) A 100 litre volume of liquid is subjected to a 2000 psi increase. If the compressibility of the liquid is 5 x 10-5 per atm, find the bulk strain and absolute decrease in the volume of the liquid c) explain the concepts of shear stress and shear strain? could these concepts be applied to the fluid problem above?Modulus of Elasticity, E (Young’s Modulus): E = σ/e e: Strain, unit-less σ : Stress, in N/m2 E : Young's modulus (Modulus of Elasticity), in N/m2