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

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
by

1 Answer

Answer :

Ans:(d)  
by
selected

Related questions

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

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

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

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

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

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

Last Answer : Young's modulus

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

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

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 - eEB) (C - 1)mf + eE(C) (C - 1)mf - eE(D) (1 - C)mf + eE

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

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

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

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

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

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

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

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

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

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

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

Last Answer : answer:

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

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

Last Answer : Newton/m2

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

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.

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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 

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

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

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)

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)

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

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

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 plane before and after bending (C) The material of the beam is homogeneous and isotropic (D) All the above

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

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)

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)

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

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

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

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

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

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

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

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

If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is 17/64 (fs/N) (A) 1/2 (B) 1/3 (C) 1/4 (D) 1/5

Description : If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque  when t attains maximum shear stress fs  the ratio of inner diameter to outer diameter, is 17/64  (fs/N)  (A) 1/2  (B) 1/3  (C) 1/4  (D) 1/5

Last Answer : (C) 1/4 

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

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

Derive an expression for strain energy per unit volume of the material of a wire.

Description : Derive an expression for strain energy per unit volume of the material of a wire.

Last Answer : Derive an expression for strain energy per unit volume of the material of a wire.

Pick out the wrong statement. (A) The equivalent stiffness of two springs (of equal stiffness 'S') in series is S/2 while in parallel is 2S (B) For a helical spring, deflection is proportional to D3(D = mean coil diameter) or d4(d = wire diameter) (C) Crushing load or columns is less than the buckling load (D) Modulus of resilience is proportional to (stress at elastic limit)2

Description : Pick out the wrong statement. (A) The equivalent stiffness of two springs (of equal stiffness 'S') in series is S/2 while in parallel is 2S (B) For a helical spring, deflection is ... is less than the buckling load (D) Modulus of resilience is proportional to (stress at elastic limit)2

Last Answer : (C) Crushing load or columns is less than the buckling load

Modulus of resilience is defined as a) Strain energy per unit volume b) Strain energy per unit area c) Independent of strain energy d) None of the mentioned

Description : Modulus of resilience is defined as a) Strain energy per unit volume b) Strain energy per unit area c) Independent of strain energy d) None of the mentioned

Last Answer : a) Strain energy per unit volume

Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.

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.

What is Young’s modulus of a rigid body?

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

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

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

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

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

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

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

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

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

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

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.

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.

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

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

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)

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)

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)

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)

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

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

Last Answer : E = 3K(1 - 2 µ ) Where, E= Young’s Modulus  K= Bulk Modulus  µ= Poisson’s Ratio

A simply supported beam carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the distributed load per unit length is doubled and also depth of beam is doubled ,then the deflection at the centre would be a.2y b.4y c.y/2 d.y/4.

Description : A simply supported beam carries a uniformly distributed load over the whole span.The deflection at the centre is y.If the distributed load per unit length is doubled and also depth of beam is doubled ,then the deflection at the centre would be a.2y b.4y c.y/2 d.y/4.

Last Answer : d.y/4.

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

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

Calculate the energy stored per unit volume in a dielectric medium due to polarisation when P = 9 units and E = 8 units. a) 1.77 b) 2.25 c) 36 d) 144

Description : Calculate the energy stored per unit volume in a dielectric medium due to polarisation when P = 9 units and E = 8 units. a) 1.77 b) 2.25 c) 36 d) 144

Last Answer : c) 36

Energy stored per unit volume inside the solenoid is called: a. Energy density b. Charge Density c. Mass density d. Volume charge density

Description : Energy stored per unit volume inside the solenoid is called: a. Energy density b. Charge Density c. Mass density d. Volume charge density

Last Answer : energy density is correct