If Poisson's ratio of a material is 0.3, then the ratio of Young's Modulus to bulk modulus is (a) 0.6 (c) 1.2 (b) 0.8 (d) 1.4
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- Consider a cylindrical metal 6 mm in diameter and 50 mm long ispulled in tension. It is known that yield strength and elastic (Young’s) Modulus of thematerial are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3.(a) Determine whether the deformation is elastic or plastic when 6000 N is applied.(b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N isapplied? What are the values ∆l and ∆d when the load is released?(c) If necking occurs at a load of 8850 N, determine the UTS of the metal.(d) Calculate the ductility in terms of % E.L. if the length of the specimen at fracturepoint is 56.0 mm.A 40 mm diameter rod 6 m long elongates 12 mm under a load of 240 kN. The diameter decreased by 0. 028 mm during the loading. a.) Determine the Poisson’s ratio of the materials, b.) Determine the Young’s Modulus of the material, and c.) Determine the modulus of rigidity of the material.Prove dp/d(rho)=K/rho. K is the bulk modulus.
- The rectangular block shown in Figure is subjected to tension within the elastic range. The increase in the length of a is 2 * 10-3in. and the contraction of b is 3.25 * 10-4 in. If the original lengths of a and b were 2 in. and 1 in., respectively, what is Poisson’s ratio for the material of the specimen?If the bulk modulus of elasticity of water is 2.2 GPa, what pressure in MPa is required to reduce a volume by 0.6 percent.A rectangular block of aluminum 30 mm * 60 mm * 90 mm is placed in a pressure chamber and subjected to a pressure of 100 MPa. If the modulus of elasticity is 70 GPa and Poisson’s ratio is 0.333, what will be the decrease in the longest side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the block?
- A steel block has a length of 80 mm, width of 60 mm and thickness of 40 mm. The block is subjected to a uniform hydrostatic pressure of 180 kPa on all its faces. Modulus of elasticity E=200 GPa, Poisson’s ratio ?= 0.29. a.) Determine the bulk modulus of steel, b.) Determine the dilatation (e) of the material if e is the negative of the ratio of load to bulk modulus., and c.) Determine the change in volume of the steel block.if the bulk modulus of elasticity of water is 2.2GPa, what pressure in MPa is required to reduce a volume by 0.6 percentMaterial A has a Poisson’s ratio of 0.35 and Material B has a Poisson’s ratio of 0.25. Assume that cylindrical specimens having the same dimensions were prepared from both materials and they were tested under uniaxial tension (below the yield stress of both materials). At the same longitudinal strain, the final diameter of the Material A becomes less than the final diameter of the Material B. Is it true or false?
- A core sample of diorite, 11 cm long and 5.5 cm in diameter, was tested in unconfined compression. The diorite was known to have a modulus of elasticity of 7.3 x 10^3 MPa. a. At a pressure of 69 MPa, what would be the reduction in length of the sample? b. At this pressure what would be the vertical load on the sample? C. At 69 MPa stress the core showed an increase in diameter of 0.009 mm. What is the Poisson's Ratio for the sample?A liquid compressed in cylinder has a volume of 0.025 m3 at 25 kg/m2 and a volume of 0.020 m3 at 125 kg/m2, the bulk modulus of elasticity is:At the limit of proportionality, a bar 30 mm wide (w) and 12 mm thick (t) elongates 2.0 mm under an axial load of 41.5 kN. The bar is 1.5 m long. If the Poisson's coefficient of the material is 0.33, determine: (a) the modulus of elasticity. E = ? (b) the variation in width. dw = ? (c) variation in thickness. dt = ?