A material has dimensions 50mm x 40mm (2 dimensional). It is stressed 2MPa in the x direction and 5MPa in the y direction. Given the elastic constants of E=205GPa and v=0.27, calculate the strain in both directions.
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A material has dimensions 50mm x 40mm
(2 dimensional). It is stressed 2MPa in the
x direction and 5MPa in the y direction.
Given the elastic constants of E=205GPa and
v=0.27, calculate the strain in both directions.
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- A material has a height of 50mm (y), a width of 50mm (x) and a depth of 50mm (z) and is stressed by 2MPa in the x direction and 5MPa in the y direction and 7MPa in the z direction. Given the elastic constants of E=205GPa and v=0.27, calculate the strain and dimension change in all three directionsThe question is related to Modulus of rigidity and is attached as an image.Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of diameter of 25 mm and of length 1.6 m, if the longitudinal strain in a bar during a tensile test is four times the lateral strain. Find the change in volume, when the bar is subjected to a hydrostatic pressure of 100 N/mm?. Take E = 1 x 105 N/mm?.
- Find the value of strain stress 30 MPa Modulus of elasticity=65 MPaA 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 kNA bar of a uniform cross section is subjected to uniaxial tension and develops a strain in the direction of the force of 1/800. Calculate the change of volume per unit volume. assume v= 1/3
- A bar of aluminum alloy of rectangular section75 mm x 20 mm and 800 mm long is stretched by an axial force of 150 kN. Find the volumetric strain, the actual change in volume and the percentage reduction in cross – sectional area of the bar. Take E = 70 GN/m2 and v = 0.34A rectangular steel block is 300mm in the x direction, 200mm in the y direction and 150mm in the z direction. The block is subjected to a triaxial loading consisting of three uniformly distributed forces as follows: 250kN tension in the x direction, 320kN compression in the y direction and 180kN tension in the z direction. For steel, v=0.30 and E=200,000MPa. Determine the total strain in the x direction due to the forces applied in the three directions.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.
- A cube has sides that are initially 80 mm and is subjected to stresses of 40 MPa (tensile), 30 MPa (compressive) and 70 MPa (tensile) in the x, y and z -directions, respectively. Calculate (a) the strains in these directions, (b) the changes in dimensions, (c) the volumetric strain and (d) the change in volume.Take E = 214 GPA and Poisson’s ratio = 0.33.Please give me the solution, don't waste my question if you don't really knownthe solution. I will vote it up for you thanks.Two round rods, one of steel, the other of brass, are joined end to end. Each rod is 0.5 m long and 2 cm in diameter. The combination is subjected to a tensile force of 5000 N. Find the strain in each rod. Young's Modulus of Steel use 20×10¹⁰ Pa, of brass use 10×10¹⁰ Pa. Find the elongation of each rod.