If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of
the material, the following relationship holds good
(A) E = 3K (1 - 2/m)
(B) E = 2N (1 + 1/m)
(C) (3/2)K (1 - 2/m) = N (1 + 1/m)
(D) All the above
Description : For a given material, if E, C, K and m are Young's modulus, shearing modulus, bulk modulus and Poisson ratio, the following relation does not hold good (A) E = 9KC/3K + C (B) E = 2K (1 + 2/m) (C) E = 2C (1 + 1/m) (D) E = 3C (1 - 1/m)
Last Answer : (C) E = 2C (1 + 1/m)
Description : The relationship between Young’s modulus (E), Modulus of rigidity (C) and Bulk modulus (K) is given by a. E=9CK/(C+3K) b. E=9CK/(2C+3K) c. E=9CK/(3C+K) d. E=9CK/(C-3K)
Last Answer : a. E=9CK/(C+3K)
Description : The relationship between Young’s modulus (E), Bulk modulus (K) and Poisson’s ratio (μ) is given by a. E=2K(1-2μ) b. E=3K(1-2μ) c. E=2K(1-2μ) d. E=2K(1-3μ)
Last Answer : b. E=3K(1-2μ)
Description : The ratio of lateral strain to linear strain is called (a) Modulus of Elasticity (b) Modulus of Rigidity (c) Bulk Modulus (d) Poisson’s Ratio
Last Answer : (d) Poisson’s Ratio
Description : The ratio of shear stress and shear strain of an elastic material, is (A) Modulus of Rigidity (B) Shear Modulus (C) Modulus of Elasticity (D) Both (a) and (b)
Last Answer : (D) Both (a) and (b)
Description : 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
Last Answer : (C) 3.125 cm
Description : While Young's modulus ‘E’ relates to change in length and bulk modulus ‘K’ relates to change in volume, modulus of rigidity ‘G’ relates to change in: A. weight B. density C. shape D. temperature
Last Answer : . shape
Description : The unit of bulk modulus of elasticity for a liquid in S.I. unit is (A) N (B) N/m (C) N/m2 (D) N/m3
Last Answer : (C) N/m2
Description : For an incompressible fluid, the bulk modulus of elasticity is (A) 5 kg/m3 (B) ∞ N/m2 (C) 1 N (D) 0 N/m
Last Answer : (B) ∞ N/m2
Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial load W. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the deflection of the coil is (A) WR3n/Cr4 (B) 2WR3n/Cr4 (C) 3WR3n/Cr4 (D) 4WR3n/Cr
Last Answer : (D) 4WR3n/Cr
Description : A closely coiled helical spring of radius R, contains n turns and is subjected to an axial loadW. If the radius of the coil wire is r and modulus of rigidity of the coil material is C, the stress developed in the helical spring is (A) WR/ 3 (B) 2WR/ 3 (C) 2WR/ 2 (D) 4WR/ 2
Last Answer : (B) 2WR/ 3
Description : For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2 . The value of Poisson's ratio is (A) 0.15 (B) 0.20 (C) 0.25 (D) 0.30
Last Answer : (C) 0.25
Description : The ratio of stress to volumetric strain is called a) Shear Modulus b) Young’s Modulus c) Bulk Modulus d) Modulus of elasticity
Last Answer : c) Bulk Modulus
Description : The bulk modulus of elasticity (A) Has the dimensions of 1/pressure (B) Increases with pressure (C) Is large when fluid is more compressible (D) Is independent of pressure and viscosity
Last Answer : Answer: Option B
Description : bulk modulus of elasticity with increase in pressure (A) Increases (B) Decreases (C) Remain constant (D) Increases first up to certain limit and then decreases
Last Answer : Answer: Option A
Description : A liquid compressed in cylinder has a volume of 0.04 m3 at 50 kg/cm² and a volume of 0.039 m3 at 150 kg/cm². The bulk modulus of elasticity of liquid is (A) 400 kg/cm² (B) 4000 kg/cm² (C) (D)
Description : Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.
Last Answer : Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.
Description : In the relation ( T/J = Gθ/L = τ/ R), the letter G denotes modulus of ______ a. elasticity b. plasticity c. rigidity d. resilience
Last Answer : c. rigidity
Description : Define modulus of rigidity and bulk Modulus.
Last Answer : Bulk Modulus (K): When a body is subjected to three mutually perpendicular like stresses of same intensity then the ratio of direct stress and the corresponding volumetric strain of the body is constant and is ... (G): It is ratio of shear stress to shear strain, is called as Modulus of Rigidity.
Description : A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm2 , the deflection of the free end, is (A) 2 mm (B) 3 mm (C) 4 mm (D) 5 mm
Last Answer : (D) 5 mm
Description : Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)? (A) E = 2G (1 + v) (B) E = G (1 + v) (C) E = G (1 + v)/2 (D) E = 2G (1 + 2v)
Last Answer : (A) E = 2G (1 + v)
Description : The bulk modulus of elasticity of a liquid (A) Is zero for incompressible liquid (B) Decreases with pressure (C) Is independent of temperature & pressure (D) Increases with pressure
Last Answer : (D) Increases with pressure
Description : The dimensional formula of bulk modulus of elasticity is same as that of the (A) Pressure (B) Density (C) Force (D) None of these
Last Answer : Option A
Description : Bulk modulus of elasticity is a. Tensile stress / Tensile strain b. Shear stress / Shear strain c. Tensile stress / Shear strain d. Normal stress on each face of cube / Volumetric strain
Last Answer : d. Normal stress on each face of cube / Volumetric strain
Description : The Modulus of Elasticity for a material refers to: w) the ability of a material to resist corrosion x) the ratio of stress over strain y) the maximum load over the cross sectional area z) none of the above
Last Answer : ANSWER: X -- THE RATIO OF STRESS OVER STRAIN
Description : If M, I, R, E, F, and Y are the bending moment, moment of inertia, radius of curvature, modulus of elasticity stress and the depth of the neutral axis at section, then (A) M/I = R/E = F/Y (B) I/M = R/E = F/Y (C) M/I = E/R = E/Y (D) M/I = E/R = Y/F
Last Answer : (C) M/I = E/R = E/Y
Description : Modulus of elasticity of steel as per IS: 4561978 shall be taken as (A) 20 kN/cm² (B) 200 kN/cm² (C) 200 kN/mm² (D) 2 × 106 N/cm2
Last Answer : Answer: Option C
Description : Modulus elasticity of steel is generally taken as [ A ] 2 x 105 N/mm2 [ B ] 2 x 106 N/mm2 [ C ] 2 x 106 N/mm2 [ D ] 2 x 105 N/mm2
Last Answer : [ A ] 2 x 105 N/mm2
Description : As per IS: 456-2000, modulus of elasticity of concrete (in N/mm2) is given by [ A ] 5700 vfCK [ B ] 5000 vfCK [ C ] 3700 vfCK [ D ] 3000 vfCK
Last Answer : [ B ] 5000 vfCK
Description : Euler's formula states that the buckling load for a column of length , both ends hinged and whose least moment of inertia and modulus of elasticity of the material of the column are and respectively, is given by the relation (A) P = ²EI/l² (B) P = /EI (C) P = /l² (D) P = ²EI/l
Last Answer : (A) P = ²EI/l²
Description : Bulk modulus of a fluid is the ratio of (A) Shear stress to shear strain (B) Increase in volume to the viscosity of fluid (C) Increase in pressure to the volumetric strain (D) Critical velocity to the viscosity of fluid
Description : Which one of the following statements is not correct with respect to PSC beams? (a) Loss due to shrinkage is proportional to water-cement ratio used in concrete (b) Loss due to creep is ... to the modulus of elasticity of concrete (d) Loss due to friction occurs in post tensioned concrete members
Last Answer : (c) Loss due to elastic deformation is directly proportionally to the modulus of elasticity of concrete
Description : Modulus of elasticity of concrete is increased with (a) Higher W/C ratio (b) Shorter curing period (c) Lesser vibration (d) Increase in age
Last Answer : (d) Increase in age
Description : A standard steel tape of length 30 m and cross-section 15 1.0 mm was standardised at 25°C and at 30 kg pull. While measuring a base line at the same temperature, the pull applied was 40 kg. If the modulus of elasticity of ... (A) - 0.000909 m (B) + 0.0909 m (C) 0.000909 m (D) None of these
Last Answer : (A) - 0.000909 m
Description : Determine number of coils in a helical compression spring, if modulus of rigidity is 80 Gpa and spring stiffness is 50 N/ mm. Assume wire diameter and spring index as 8 mm and 5 respectively a. 11.8 turns b. 12.8 turns c. 13.3 turns d. None of the above
Last Answer : b. 12.8 turns
Description : The modulus of rigidity is the ratio of (1) Longitudinal stress to longitudinal strain (2) Volume stress to volume strain (3) Shearing stress to shearing strain (4) Tensile stress to tensile strain
Last Answer : (3) Shearing stress to shearing strain Explanation: In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S , is defined as the ratio of shear stress to the shear ... the case of an object that's shaped like a rectangular prism, it will deform into a parallelepiped.
Description : The modulus of rigidity is the ratio of (1) longitudinal stress to longitudinal strain (2) Volume stress to volume strain (3) shearing stress to shearing strain (4) tensile stress to tensile strain
Last Answer : shearing stress to shearing strain
Description : A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is 1o. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of ... shaft is _______. (a) 43 to 45 (b) 50to 60 (c) 70 to 80 (d) 85 to 100
Last Answer : (a) 43 to 45
Description : In a shaft, the shear stress is not directly proportional to (A) Radius of the shaft (B) Angle of twist (C) Length of the shaft (D) Modulus of rigidity
Last Answer : (C) Length of the shaft
Description : Pick up the incorrect statement from the following: The torsional resistance of a shaft is directly proportional to (A) Modulus of rigidity (B) Angle of twist (C) Reciprocal of the length of the shaft (D) Moment of inertia of the shaft section
Last Answer : (D) Moment of inertia of the shaft section
Description : In a doubly-reinforced beam if and is the effective depth and is depth of critical neutral axis, the following relationship holds good (A) mc/t = n/(d - n) (B) (m + c)/t = n/(d + n) (C) (t + c)/n = (d + n)/n D) mc/t = (d - n)/t
Description : A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m ... .8i - 6j - 3k b.12i - 3j + k c.16i - 12j - 6k d.4i - 3j + k e.8i + 5j + 3k
Last Answer : a. 8i - 6j - 3k
Description : Walls of a cubical oven are of thickness l, and they are made of material of thermal conductivity k. The temperature inside the oven is 100°C and the inside heat transfer co-efficient is 3k/l'. If the wall temperature ... wall temperature in degree centigrade? (A) 35.5 (B) 43.75 (C) 81.25 (D) 48.25
Last Answer : (C) 81.25
Description : Polymerization helps to improve the property of (A) Strength (B) Rigidity (C) Elasticity (D) All of these
Last Answer : Answer: Option D
Description : Velocity of sound waves through any material depends on A. the material's density ‘d’ only B. the material's density ‘d’ as well as its modulus of elasticity ‘E’ C. the material's modulus of elasticity ‘E’ only D. neither the material's density ‘d’ nor its modulus of elasticity ‘E’
Last Answer : the material's density ‘d’ as well as its modulus of elasticity ‘E’
Description : Elongation of a bar of uniform cross section of length ‘L’, due to its own weight ‘W’ is given by a. 2WL/E b. WL/E c. WL/2E d. WL/3E Where, E=Young’s modulus of elasticity of material
Last Answer : c. WL/2E
Description : Which of the following mechanical properties of a material is most structure insensitive? (A) Modulus of elasticity (young's modulus) (B) Toughness (C) Percentage reduction of area (D) Tensile strength
Last Answer : (A) Modulus of elasticity (young's modulus)
Description : The ability of a material to resist plastic deformation known as _____________ a) Tensile strength b) Yield strength c) Modulus of elasticity d) Impact strength
Last Answer : b) Yield strength
Description : The ductility of metal is usually expressed in terms of the: A. Yield strength (point where the material is not longer elastic) B. Percent elongation C. Modulus of elasticity (stiffness of the material)
Last Answer : B. Percent elongation