State the relation between Young’s modulus and bulk modulus. 

1 Answer

Answer :

E = 3K(1 - 2 µ )

Where, E= Young’s Modulus

 K= Bulk Modulus

 µ= Poisson’s Ratio

Related questions

Description : Define section modulus and neutral axis.

Last Answer : Section Modulus: It is the ratio of M. I. of the section about the neutral axis and the distance of the most extreme fiber from the neutral axis. Neutral Axis: It is the axis shown in cross ... The intersection of the neutral layer with any normal cross section of a beam is called as neutral axis.

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 : State and explain perpendicular axis theorem of moment of Inertia.

Last Answer : Perpendicular axis theorem: It states MI of a plane lamina about an axis perpendicular to the plane of lamina and passing through the centroid of the lamina is equal to the addition of the moments of ... OY are mutually perpendicular and OZ is the axis perpendicular to plane XY of the lamina.

Description : State the condition for no tension at the base of a column.

Last Answer : If the load acting in the middle third area or core of the section, then the material experiences only compressive stress without producing tensile stress. i.e. Direct stress is equal to bending stress. Minimum stress is zero, such condition is said to be no tension condition.  

Description : Explain the theory of pure torsion.

Last Answer : A shaft is a rotating part of machine which transmits power from one point to other. When a force acts tangentially at a point on the surface of the shaft it rotates or twist. The twisting is due to ... in the material of the shaft is subjected to pure shear.  Torsional Equation is   

Description : Define the core of a section.

Last Answer : The centrally located portion of a within which the load must act so as to produce only compressive stress is called a core of the section.

Description : Define point of contra-flexure of a loaded beam with sketch.

Last Answer : Point of Contra-flexure: It is the point in bending moment diagram where bending moment changes its sign from positive to negative and vice versa. At that point bending moment is equal to zero. This point is called as point of contra-flexure.

Description : Draw stress-strain diagram for mild-steel rod and show different limits on it. 

Last Answer : Where, A = Limit of proportionality B = Elastic limit C = Upper yield point D = Lower yield point E = Ultimate load point F = Breaking point

Description : Define: (i) Moment of Inertia (ii) Radius of Gyration

Last Answer : i) Moment of Inertia: Moment of Inertia of a body about any axis is equal to the product of the area of the body and square of the distance of its centroid from that axis.  OR  Moment of ... at which the entire area is assumed to be concentrated without changing the M. I. about the given axis. 

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 : 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 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 ratio of shear stress to shear strain is a) Shear modulus b)Young’s Modulus c) Bulk Modulus d)None of above

Last Answer : b)Young’s Modulus

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 : What is the SI unit of Young’s modulus of elasticity? -Do You Know?

Last Answer : answer:

Description : What is Young’s modulus? Describe an experiment to find out Young’s modulus of material

Last Answer : What is Young’s modulus? Describe an experiment to find out Young’s modulus of material in the form of a long straight wire.

Description : What is Young’s modulus of a rigid body?

Last Answer : What is Young’s modulus of a rigid body?

Description : If S is stress, Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is (a) 2Y/S (b) S/2Y (c) 2S2Y (d) S2/2Y

Last Answer : Ans:(d)

Description : What is the SI unit of Young’s modulus of elasticity?

Last Answer : Newton/m2

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 : Dimensions of Young's modulus are A. [M]-1 [L]-1 [T]-2 B. [M]-1 [L]-2 [T]-2 C. [M] [L]-2 [T]-2 D. [M] [L]-1 [T]-2

Last Answer : [M] [L]-1 [T]-2

Description : Young's modulus is defined as A. tensile strain/tensile stress B. tensile stress/tensile strain C. tensile stress × tensile strain D. length/area

Last Answer : tensile stress/tensile strain

Description : Ratio of tensile to strain is A. Young's modulus B. stress C. stiffness D. tensile force

Last Answer : Young's modulus

Description : Factor of safety for fatigue loading is the ratio of (a) elastic limit to the working stress (b) Young's modulus to the ultimate tensile strength (c) endurance limit to the working stress (d) elastic limit to the yield point

Last Answer : (c) endurance limit to the working stress

Description : The resistance to fatigue of a material is measured by (a) elastic limit (b) Young's modulus (c) ultimate tensile strength (d) endurance limit

Last Answer : (d) endurance limit

Description : A cantilever shaft having 50 mm diameter and a length of 300mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the static deflection of shaft in mm. A 0.144 B 0.244 C 0.344 D 0.444

Last Answer : A 0.144

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free enD. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. A. 575B. 625 C. 525 D. 550

Last Answer : A. 575

Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 3 . Determine the static deflection of the shaft in mm. a) 0.147 b) 0.213 c) 0.132 d) 0.112

Last Answer : a) 0.147

Description : A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Determine the frequency of transverse vibrations of the shaft. a) 31 b) 35 c) 37 d) 41

Last Answer : d) 41

Description : A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m 2 . Calculate the natural longitudinal frequency in Hz. a) 575 b) 625 c) 525 d) 550

Last Answer : a) 575

Description : A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m2. Calculate the static deflection in nm. a) 0.001 b) 0.083c) 1.022 d) 0.065

Last Answer : a) 0.001

Description : The assumption in the theory of bending of beams is:  (A) Material is homogeneous  (B) Material is isotropic  (C) Young's modulus is same in tension as well as in compression  (D) All the above 

Last Answer : (D) All the above 

Description : An open-ended cylinder of radius and thickness is subjected to internal pressure . The Young's modulus for the material is and Poisson's ratio is . The longitudinal strain is (A) Zero (B) pr/TE (C) pr/2TE (D) None of these

Last Answer : (A) Zero

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 : Strain energy of a member may be equated to  (A) Average resistance × displacement  (B) ½ stress × strain × area of its cross-section  (C) ½ stress × strain × volume of the member  (D) ½ (stress)2  × volume of the member + Young's modulus E

Last Answer : (D) ½ (stress)2  × volume of the member + Young's modulus E

Description : Pick up the correct assumption of the theory of simple bending  (A) The value of the Young's modulus is the same in tension as well as in compression  (B) Transverse section of a beam remains ... bending  (C) The material of the beam is homogeneous and isotropic  (D) All the above

Last Answer : (D) All the above

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 : Steel rods are normally used for concrete reinforcement because concrete and steel have almost equal (A) Tensile strength (B) Compressive strength (C) Young's modulus (D) Thermal co-efficient of expansion

Last Answer : (D) Thermal co-efficient of expansion

Description : Fatigue resistance of a material is measured by the (A) Elastic limit (B) Ultimate tensile strength (C) Young's modulus (D) Endurance limit

Last Answer : (D) Endurance limit

Description : The Young's modulus of elasticity of steel, is (A) 150 KN/mm2 (B) 200 KN/mm2 (C) 250 KN/mm2 (D) 275 KN/mm

Last Answer : Answer: Option D

Description : If C is creep coefficient, f is original pre-stress in concrete, m is modular ratio, E is Young's modulus of steel and e is shrinkage strain, the combined effect of creep and shrinkage is: (A) (1 - C)mf - eE B) (C - 1)mf + eE (C) (C - 1)mf - eE (D) (1 - C)mf + eE

Last Answer : Answer: Option B

Description : Between 230 and 370°C, blue brittleness is caused in mild steel because of the (A) Immobility of dislocation (B) Strain-ageing (C) Increase in Young's modulus (D) Strain hardening

Last Answer : Option B

Description : Young's modulus of a material is the measure of its (A) Stiffness (B) Malleability (C) Creep resistance (D) Tensile strength

Last Answer : Option A

Description : The modular ratio is the ration of (a) Young’s modulus of steel to the young’s modulus of concrete (b) Young’s modules of concrete to the young’s modulus of steel (c) Load carried by steel to the load carried by concrete. (d) Load carried by concrete to the load carried by step.

Last Answer : (c) Load carried by steel to the load carried by concrete.

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 : A rod 3 m long is heated from 10°C to 90°C. Find the expansion of rod. Take Young’s modulus = 1.0 x 10^5 MN/m2 and coefficient of thermal expansion = 0.000012 per degree centigrade. 1. 0.168 cm 2. 0.208 cm 3. 0.288 cm 4. 0.348 cm

Last Answer : 3. 0.288 cm

Description : 18.The total extension of a taper rod of length ‘L’ and end diameters ‘D1’ and ‘D2’, subjected to a load (P), is given of a. 4PL/ΠE. D1D2 b. 3PL/ΠE. D1D2 c. 2PL/ΠE. D1D2 d. PL/ΠE.D1D2 Where E=Young’s modulus of elasticity

Last Answer : a. 4PL/ΠE. D1D2

Description : Young’s Modulus of elasticity is (a)Tensile stress / Tensile strain (b)Shear stress / Shear strain (c)Tensile stress / Shear strain (d)Shear stress / Tensile strain

Last Answer : a)Tensile stress / Tensile strain

Description : Adiabatic bulk modulus is equal to:  A. Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure B. Pressure C. The ratio of the specific heat capacities of the gas D. Υ ⁄ P; where Υ: the ratio of the specific heat capacities of the gas, P: pressure

Last Answer : Υ × P; where Υ: the ratio of the specific heat capacities of the gas, P: pressur