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51.

Match List-I (Material) with List-II (Characteristic) and select the correct answer using the codes given below the lists: List - IList - IIA. Inelastic material1. No plastic zoneB. Rigid plastic material2. Large plastic zoneC. Ductile material3. Strain is not recovered after unloadingD. Brittle material4. Strain is zero upto a stress level and then stress remains constant.Codes:A B C D

Answer»

Match List-I (Material) with List-II (Characteristic) and select the correct answer using the codes given below the lists:

























List - IList - II
A. Inelastic material1. No plastic zone
B. Rigid plastic material2. Large plastic zone
C. Ductile material3. Strain is not recovered after unloading
D. Brittle material4. Strain is zero upto a stress level and then stress remains constant.



Codes:

A B C D
52.

A concentrated load P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by

Answer»

A concentrated load P acts on a simply supported beam of span L at a distance L/3 from the left support. The bending moment at the point of application of the load is given by

53.

A simply supported beam of span Land flexural rigidity El, carries a unit point load at its centre. The strain energy in the beam due to bending is

Answer»

A simply supported beam of span Land flexural rigidity El, carries a unit point load at its centre. The strain energy in the beam due to bending is

54.

Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, G = 77 GPa. The angle of twist at C (in degree) is0.2368

Answer» Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, G = 77 GPa. The angle of twist at C (in degree) is




  1. 0.2368
55.

A mild steel bar of square cross-section 25mm×25mm is 1 m long. It is subjected to bi-axial stress σx=480 N/mm2 (Tension) and σy=400 N/mm2(Compression). E=2×105 N/mm2,μ=0.3, what is the elongation of the bar in mm in x direction?

Answer»

A mild steel bar of square cross-section 25mm×25mm is 1 m long. It is subjected to bi-axial stress σx=480 N/mm2 (Tension) and σy=400 N/mm2(Compression). E=2×105 N/mm2,μ=0.3, what is the elongation of the bar in mm in x direction?

56.

A water main 160 cm dia. contains water at a pressure head of 200 m. Take weight of water to be 1000 kg/m3. The thickness of the metal shell required for the water main, given that the maximum permissible stress in the metal is 400 kg/cm2, will be

Answer»

A water main 160 cm dia. contains water at a pressure head of 200 m. Take weight of water to be 1000 kg/m3. The thickness of the metal shell required for the water main, given that the maximum permissible stress in the metal is 400 kg/cm2, will be

57.

A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young's moduli for the sections AB and BC are 3E and E, respectively.For the deflection at C to be zero, the ratio P/F is 4

Answer» A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young's moduli for the sections AB and BC are 3E and E, respectively.

For the deflection at C to be zero, the ratio P/F is




  1. 4
58.

A beam's SFD and BMD are shown in Fig-I and Fig - II The corresponding load diagram will be

Answer»

A beam's SFD and BMD are shown in Fig-I and Fig - II





The corresponding load diagram will be




59.

A rectangular block of size 200mm×100mm×50mm is subjected to a shear stress of 500 kg/cm2. If the modulus of rigidity of the material is 1×106 kg/cm2, the strain energy stored will be

Answer»

A rectangular block of size 200mm×100mm×50mm is subjected to a shear stress of 500 kg/cm2. If the modulus of rigidity of the material is 1×106 kg/cm2, the strain energy stored will be

60.

A cylindrical shell of 100 cm diameter made of mild steel plate is to be subjected to an internal pressure of 10 kg/cm2. If the material yields at a stress of 200 kg/cm2, assuming factor of safety as 4 and using maximum principal stress theory, the requisite thickness of the plate will be

Answer»

A cylindrical shell of 100 cm diameter made of mild steel plate is to be subjected to an internal pressure of 10 kg/cm2. If the material yields at a stress of 200 kg/cm2, assuming factor of safety as 4 and using maximum principal stress theory, the requisite thickness of the plate will be

61.

A simply supported beam of span I and flexual rigidity EI carries at unit load at its mid -span. The strain energy at this condition in the beam due to bending is

Answer»

A simply supported beam of span I and flexual rigidity EI carries at unit load at its mid -span. The strain energy at this condition in the beam due to bending is

62.

A Steel wire of 20 mm diameter is bent into a circular shapes of 10 m radius. If the modulus of elasticity is 2×106kg/cm2 , then the maximum stress induced in the wire is

Answer»

A Steel wire of 20 mm diameter is bent into a circular shapes of 10 m radius. If the modulus of elasticity is 2×106kg/cm2 , then the maximum stress induced in the wire is

63.

A ratio of moment carrying capacity of a circular beam of diameter D and square beam of size D is

Answer»

A ratio of moment carrying capacity of a circular beam of diameter D and square beam of size D is

64.

The bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poisson's ratio of the material is

Answer»

The bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poisson's ratio of the material is

65.

Consider the shear force diagram shown in given figureThe loaded beam will be

Answer»

Consider the shear force diagram shown in given figure





The loaded beam will be

66.

For a state of plane stress σ1=σx=40 MPa and σ2=σy MPa. What are the values of the maximum in-plane shearing stress and absolute maximum shearing stress?

Answer»

For a state of plane stress σ1=σx=40 MPa and σ2=σy MPa. What are the values of the maximum in-plane shearing stress and absolute maximum shearing stress?

67.

A stepped column carries loads as shown below. What is the maximum normal stress in the column at B in the larger diameter column?

Answer»

A stepped column carries loads as shown below. What is the maximum normal stress in the column at B in the larger diameter column?




68.

A uniform T-shaped arm of weight W, pinned about a horizontal point C, is supported by a vertical spring of stiffness K, The extension of the spring is

Answer»

A uniform T-shaped arm of weight W, pinned about a horizontal point C, is supported by a vertical spring of stiffness K, The extension of the spring is




69.

If p1 and p2 are the principal stress at a point in a strained material with Young's modulus E and Poisson's ratio 1/m, then the principal strain is?

Answer»

If p1 and p2 are the principal stress at a point in a strained material with Young's modulus E and Poisson's ratio 1/m, then the principal strain is?

70.

The compound shaft shown is built-in at the two ends. It is subjected to a twisting moment T at the middle. What is the ratio of the reaction torques T1 and T2 at the ends?

Answer»

The compound shaft shown is built-in at the two ends. It is subjected to a twisting moment T at the middle. What is the ratio of the reaction torques T1 and T2 at the ends?


71.

The side AD of the square block ABCD as shown in the given figure is fixed at the base and it is under a stage of simple shear causing shear stress τ and shear strain Φ,where Φ=τModulus of Rigidity (G)The distorted shape is AB′C′D. The diagonal strain (linear) will be

Answer»

The side AD of the square block ABCD as shown in the given figure is fixed at the base and it is under a stage of simple shear causing shear stress τ and shear strain Φ,

where Φ=τModulus of Rigidity (G)

The distorted shape is ABCD. The diagonal strain (linear) will be




72.

A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure The deflection at the free end Q is

Answer»

A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure





The deflection at the free end Q is

73.

Poisson's ratio of a material is 0.3. Then the ratio of Young's modulus to bulk modulus is

Answer»

Poisson's ratio of a material is 0.3. Then the ratio of Young's modulus to bulk modulus is

74.

A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change in diameter is 0.0045 mm. The Poisson's ratio will be

Answer»

A bar of diameter 30 mm is subjected to a tensile load such that the measured extension on a gauge length of 200 mm is 0.09 mm and the change in diameter is 0.0045 mm. The Poisson's ratio will be

75.

A simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is (correct to one decimal place)30

Answer» A simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is (correct to one decimal place)




  1. 30
76.

The length, coefficient of thermal expansion and Young's modulus of bar A are twice that of bar B. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be

Answer»

The length, coefficient of thermal expansion and Young's modulus of bar A are twice that of bar B. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be

77.

A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are

Answer»

A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are


78.

A mild steel bar of uniform cross-section A and length L is subjected to an axial load W. The strain energy stored in the bar would be

Answer»

A mild steel bar of uniform cross-section A and length L is subjected to an axial load W. The strain energy stored in the bar would be

79.

The equivalent stiffness of two springs of stiffness S1 and S2 joined in series is given by

Answer»

The equivalent stiffness of two springs of stiffness S1 and S2 joined in series is given by

80.

A steel cube of volume 8000 cc is subjected to all round stress of 1330 kg/cm2. The bulk modulus of the material is 1.33×106kg/cm2. The volumetric change is

Answer»

A steel cube of volume 8000 cc is subjected to all round stress of 1330 kg/cm2. The bulk modulus of the material is 1.33×106kg/cm2. The volumetric change is

81.

A cantilever beam has the square cross section of 10mm×10mm. It carries a transeverse load of 10N. Considering only the bottom fibres of the beam, the correct representation of the logitudinal variation of the bending stress is

Answer»

A cantilever beam has the square cross section of 10mm×10mm. It carries a transeverse load of 10N. Considering only the bottom fibres of the beam, the correct representation of the logitudinal variation of the bending stress is




82.

A homogeneous prismatic simply supported beam is subjected to a point load F. The load can be places anywhere along the span of the beam. The very maximum flexural stress developed in the beam is

Answer»

A homogeneous prismatic simply supported beam is subjected to a point load F. The load can be places anywhere along the span of the beam. The very maximum flexural stress developed in the beam is


83.

A flitched beam shown in the figure below is subjected to a bending moment. The strain variation across the cross-section will be as in

Answer»

A flitched beam shown in the figure below is subjected to a bending moment. The strain variation across the cross-section will be as in




84.

The lists given below refer to. a bar of length L, cross sectional area A, Young's modulus E, Poisson's ratio μ and subjected to axial stress ρ. Match List-I with List-II and select the correct answer using the codes given below the lists: List - IList - IA. Volumetric strain1. 2(1+μ)B. Strain energy per unit volume2. 3(1−2μ)C. Ratio of Young's modulus to bulk modulus3. ρE(1−2μ)D. Ratio of Young's modulus to modulus of4. ρ2E 5. 2(1−μ)Codes:A B C D

Answer»

The lists given below refer to. a bar of length L, cross sectional area A, Young's modulus E, Poisson's ratio μ and subjected to axial stress ρ. Match List-I with List-II and select the correct answer using the codes given below the lists:





























List - IList - I
A. Volumetric strain1. 2(1+μ)
B. Strain energy per unit volume2. 3(12μ)
C. Ratio of Young's modulus to bulk modulus3. ρE(12μ)
D. Ratio of Young's modulus to modulus of4. ρ2E
5. 2(1μ)



Codes:

A B C D
85.

If modulus of elasticity of a material is 189.8GN/m2 and its Poisson's ratio is 0.30, what is the approximate value of shear modulus of the material?

Answer»

If modulus of elasticity of a material is 189.8GN/m2 and its Poisson's ratio is 0.30, what is the approximate value of shear modulus of the material?


86.

The shear force diagram is as shown below:The loading diagram for the above shear force diagram is

Answer»

The shear force diagram is as shown below:



The loading diagram for the above shear force diagram is

87.

The second moment of a circular area about the diameter is given by (D is the diameter)

Answer»

The second moment of a circular area about the diameter is given by (D is the diameter)

88.

A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque(in kN-m) that the shaft can resist is .23

Answer» A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque(in kN-m) that the shaft can resist is .
  1. 23
89.

For the overhanging beam shown in figure, the magnitude of maximum bending moment (in kNm) is 40

Answer» For the overhanging beam shown in figure, the magnitude of maximum bending moment (in kNm) is
  1. 40
90.

A thin cylindrical steel pressure vessel of diameter 6cm and wall thickness 3 mm is subjected to an internal fluid pressure of intensity ′p′. If the ultimate strength of steel 3600 kg/cm2, the bursting pressure will be

Answer»

A thin cylindrical steel pressure vessel of diameter 6cm and wall thickness 3 mm is subjected to an internal fluid pressure of intensity p. If the ultimate strength of steel 3600 kg/cm2, the bursting pressure will be

91.

A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2×106kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by

Answer»

A round steel bar of overall length 40 cm consists of two equal portions of 20 cm each having diameters of 10 cm and 8 cm respectively. Take E as 2×106kg/cm2. If the rod is subjected to a tensile load of 10 tonnes, the elongation in cm will be given by

92.

For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5×10−4. The curvature in the beam cross-section (in m−1, round off to 3 decimal places), is_____0.001

Answer» For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of 2.5×104. The curvature in the beam cross-section (in m1, round off to 3 decimal places), is_____
  1. 0.001
93.

Match List-I with List-II and select the correct answer using the codes given below the lists: List - IList - IIA. Ductility1. Failure without warningB. Brittleness2. Drawn permanently over great changes of shape without ruptureC. Tenacity3. Absorption of energy at high stress without ruptureD. Toughnesss4. High tensile strengthCodes:A B C D

Answer»

Match List-I with List-II and select the correct answer using the codes given below the lists:

























List - IList - II
A. Ductility1. Failure without warning
B. Brittleness2. Drawn permanently over great changes of shape without rupture
C. Tenacity3. Absorption of energy at high stress without rupture
D. Toughnesss4. High tensile strength









Codes:

A B C D
94.

For the beam - system as shwon, if the deflection at C is zero, then the ratio PQ is

Answer»

For the beam - system as shwon, if the deflection at C is zero, then the ratio PQ is






95.

For the component loaded with a force F as shown in the figure, the axial stress at the corner point P is

Answer»

For the component loaded with a force F as shown in the figure, the axial stress at the corner point P is




96.

A thin cylindrical tube with closed ends is subjected to:1. Longitudinal stress σ1=14 N/mm22. Hoop stress σ2=2 N/mm23. Shearing stress τ=8 N/mm2Then the maximum shearing stress is

Answer»

A thin cylindrical tube with closed ends is subjected to:

1. Longitudinal stress σ1=14 N/mm2

2. Hoop stress σ2=2 N/mm2

3. Shearing stress τ=8 N/mm2

Then the maximum shearing stress is

97.

A rigid bar AC is supported by three rods of same· material and of equal diameter. The bar AC is initially horizontal. A force P is applied such that the bar AC continues to remain horizontal. Forces in each of the shorter bars and in the longer bar are, respectively

Answer»

A rigid bar AC is supported by three rods of same· material and of equal diameter. The bar AC is initially horizontal. A force P is applied such that the bar AC continues to remain horizontal. Forces in each of the shorter bars and in the longer bar are, respectively


98.

A section of a solid circular shaft with diameter D is subjected to bending moment M and torque T. The expression for maximum principal stress at the section is

Answer»

A section of a solid circular shaft with diameter D is subjected to bending moment M and torque T. The expression for maximum principal stress at the section is

99.

For the state of stress (in MPa) shown in the figure below the maximum shear stress (in MPa) is 5

Answer» For the state of stress (in MPa) shown in the figure below the maximum shear stress (in MPa) is


  1. 5
100.

A thin steel ruler having its cross-section of 0.0625 cm x 2.5 cm is bent by couples applied at its ends so that its length / equal to 25 cm, when bent, as a circular arc, subtends a central angle θ=60o. Take E=2×106kg/cm2. The maximum stress induced in the ruler and the magnitude is

Answer»

A thin steel ruler having its cross-section of 0.0625 cm x 2.5 cm is bent by couples applied at its ends so that its length / equal to 25 cm, when bent, as a circular arc, subtends a central angle θ=60o. Take E=2×106kg/cm2. The maximum stress induced in the ruler and the magnitude is