Define volumetric strain. Also give the relation between lateral strain to and Poisson’s ratio.

Define volumetric strain. Also give the relation between lateral strain to and Poisson’s ratio. 
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Volumetric strain: Volumetric strain is defined as the ratio of change in volume to original volume.

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Poisson’s ratio is a. Lateral strain / Longitudinal strain b. Shear strain / Lateral strain c. Longitudinal strain / Lateral strain d. Lateral strain / Volumetric strain

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Last Answer : a. Lateral strain / Longitudinal strain

The ratio of lateral strain to axial strain of a homogeneous material, is known (A) Yield ratio (B) Hooke's ratio (C) Poisson's ratio (D) Plastic ratio

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If a circular beam of diameter d experiences a longitudinal strain P/E and a lateral strain 2P/mE, the volumetric strain is (A) (P/E) + (2P/mE) (B) (P/E) - (2P/mE) (C) (P/E) + (mE/2P) (D) (P/E) - (mE/2P)

Description : If a circular beam of diameter d experiences a longitudinal strain P/E and a lateral strain 2P/mE, the volumetric strain is (A) (P/E) + (2P/mE) (B) (P/E) - (2P/mE) (C) (P/E) + (mE/2P) (D) (P/E) - (mE/2P)

Last Answer : (B) (P/E) - (2P/mE)

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A metal having a Poisson's ratio = 0.3 is elastically deformed under uniaxial tension. If the longitudinal strain = 0.8, then the magnitude of thickness strain is (A) -0.8 (B) 0.8 (C) +0.08 (D) -0.24

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Last Answer : (D) -0.24

cylindrical rod subjected to a tensile strain within the elastic limit undergoes a volume change. If the volume strain is equal to half the tensile strain, then the Poisson's ratio of the rod is (A) 0 (B) 0.33 (C) 0.44 (D) 0.25

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If Poisson's ratio of a resistance wire strain gauge is 1.8, then neglecting piezo-resistive effects, its Gauge

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The ratio of stress to volumetric strain is called a) Shear Modulus b) Young’s Modulus c) Bulk Modulus d) Modulus of elasticity

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Pick up the correct statement from the following: (A) Hoop strain of the walls of a cylinder due to liquid is (pd/2tE) (1 - 1/2m) (B) Longitudinal strain in the walls of a cylinder due to liquid is (pd/2tE) (1/2 - 1/m) (C) Volumetric change in the cylinder due to liquid is (pd/2tE) (5/2 - 2/m) (D) All the above

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The strain energy due to volumetric strain (A) Is directly proportional to the volume (B) Is directly proportional to the square of exerted pressure (C) Is inversely proportional to Bulk modulus (D) All the above

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A solid cube is subjected to equal normal forces on all its faces. The volumetric strain will be x- times the linear strain in any of the three axes when (A) x = 1 (B) x = 2 (C) x = 3 (D) x = 4

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The volumetric change of the fluid caused by a resistance is known as (A) Volumetric strain (B) Volumetric index (C) Compressibility (D) Adhesion

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The volumetric strain is: a) V/Vo b) Vo/V c) V/t d) None

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The strain due to tensile stress is : a) Compressive strain b) Shear strain c) Volumetric strain d) Tensile strain

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A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson's ratio is 0.25, the change in the volume of the bar is: (A) 1.125 cm3 (B) 2.125 cm3 (C) 3.125 cm3 (D) 4.125 cm

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