If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-dep
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If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively,
What is the axial strain in the cylinder wall at mid-depth?
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- 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).A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?(c) Consider a cubic element with side length of 4 cm. The element has modulus of elasticity of 80 GPa and Poison's ratio of 0.3. If the element is subjected to equal forces in the x, y and z direction of 3 KN. Determine the volumetric strain and bulk modulus.
- The stress-strain curve of cellulose acetate at 25°C is shown below. Draw the curves at 0°C and 60°CA rectangular block is 7 cm long in the x-direction, 5 cm in the y-direction, and 9 cm long in the z-direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 15 kN in the x- direction, 21 kN in the y-direction, and 18 kN in the z-direction. Calculate the strain in the direction y if Poisson's ratio v = 0.30 and having a modulus of elasticity of E = 150 GPa. y 7 cm 9 cm 21 kN 15 kN 5 cm 18 kNThe longitudinal strain in a cylindrical bar of diameter 20mm and length 2.5m during the tensile stress is 3 times the lateral strain. Calculate the modulus of rigidity, bulk modulus and also find the change in volume when the bar is subjected to hydrostatic pressure of 150MPA. Take E = 150GPA.
- A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x 10 -3 in thex direction and 0.30 x 10-3 in the y direction, determine the stresses in the x and y direction. Also,determine the strain in the z direction. The modulus of elastic and Poisson’s ratio of copper is 110GPa and 0.35 respectively.(b) Consider a square element in the x-y plane with side length of 3 cm. The thickness of the element is 7 mm. The element has modulus of elasticity of 200 GPa and Poison's ratio of 0.33. If the element is subjected to forces in the x and y directions of 3 KN and 1.5 KN, respectively, find the dimensions of the loaded element.One spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following: 1. The force applied to the spring assembly. 2. The shear stress induced in each spring. 3. The total strain energy stored in the spring assembly. 4. The stiffness of each spring. 5. The equivalent stiffness of a single spring that can be substituted in place of these springs.
- A 200 x 100 x 50 mm steel block is subjected to a hydrostatic pressure of 15 MPa. The Young's modulus and Poisson's ratio of the material are 200 GPa and 0.3 respectively. What is the change in the volume of the block?2) Find the strains in the 1-2 coordinate system (local axes) in a unidirectional boron/epoxy lamina with 50% fiber volume fraction, if the stresses in the 1-2 coordinate system applied to are ơ1 = 6 MPa, ơ2 =2 MPa, and T12 = -4 MPa. Use the properties of the given unidirectional lamina in the book and assume plane stress conditions for the lamina.If an isotropic material has a shear modulus of 125 Gpa and a Poisson's ratio of 0.2, calculate its Young's modulus. Select one: O E= 80 Gpa O E= 450 Gpa O E= 60 Gpa %3D O E= 30 Gpa %3D O E= 300 Gpa %3D If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD.