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?.
- A 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= 1/3A 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.
- Q3Q1) Bar (1) of length 2.8 m and bar (2) of length 0.73 m are fixed at ends A and C. There is a A = 3.5 mm gap between bar (2) and the rigid plate at B. Load P is applied to plate B and as a result of that, bar (1) elongates and bar (2) get compressed. If the normal strain in bar (1) is 2429 um/m, find the normal strain in bar (2). (1) P, (2) A P 2.8 m 0.73 mA rectangular block of size 200mm x 100mm x 80mm (i.e. length x width x depth) is subjected to a tensile force of 300 KN in the longitudinal direction. A tensile force of 100 KN on the 200mm x 80mm faces and a compressive force of 80 KN on the 200mm x 100mm faces. Take E= 2 x 10³ N/mm² and Poisson's ratio as 0.3. Calculate the changes in the dimensions and change in volume of the block.
- If Young's modulus of some material is 150 GPa and shear modulus is 50 GPa, find the poisson's ratio of that material.124,000s o(2) 0 s85 0.03 (o in MPa) 1+ 300ɛ (a) Find the axial normal strain in the cable and its elongation due to the load W = 6.8 kN. (b) If the forces are removed, what is the permanent set of the cable? Hint: Start with constructing the stress-strain dia- gram and determine the modulus of elasticity, E, and the 0.2% offset yield stress. D 2 m A 1.5 m B 1.5 m E m--1 m- 0.75 m 0.25 m W = 6.8 kNOne 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.

