Railways NTPC (Technical Ability) Engineering Mechanics and Strength of Materials Question Bank

done Strength of Materials Total Questions - 120

• question_answer1)
  A tapering bar (diameters of end sections being \[{{d}_{1}}\] and\[{{d}_{2}}\]) and a bar of uniform cross-section 'd' have the same length and are subjected to the same axial pull. Both the bars will have the same extension if  'd' is equal to
  A)
  \[\frac{{{d}_{2}}+{{d}_{2}}}{2}\]                   done clear
  B)
  \[\sqrt{{{d}_{1}}{{d}_{2}}}\] done clear
  C)
  \[\sqrt{\frac{{{d}_{1}}{{d}_{2}}}{2}}\]                        done clear
  D)
  \[\sqrt{\frac{{{d}_{2}}+{{d}_{2}}}{2}}\] done clear
  View Solution play_arrow

• question_answer2)
  Which of the following is true (\[\mu =\] Poisson's ratio):
  A)
  \[0<\mu <-\text{1/2}\]               done clear
  B)
  \[1<\mu <0\] done clear
  C)
  \[1<\mu <-1\]                done clear
  D)
  \[\infty <\mu <-\infty \] done clear
  View Solution play_arrow

• question_answer3)
  For most brittle materials, the ultimate strength in compression is much larger than the ultimate strength is tension. That is mainly due to:
  A)
  Presence of flaws and microscopic cracks or cavities            done clear
  B)
  Necking in tension done clear
  C)
  Severity of tensile stress as compared to compressive stress            done clear
  D)
  non-linearity of stress-strain diagram. done clear
  View Solution play_arrow

• question_answer4)
  Bending moment M and torque T is applied on a solid circular shaft. If the maximum bending stress equals to maximum shear stress developed, then M is equal to:
  A)
  \[\frac{T}{2}\]                           done clear
  B)
  T done clear
  C)
  2T                                done clear
  D)
  4T done clear
  View Solution play_arrow

• question_answer5)
  When bending moment M and torque T is applied on a shaft then equivalent torque is:
  A)
  M+T                 done clear
  B)
  \[\sqrt{{{M}^{2}}+{{T}^{2}}}\] done clear
  C)
  \[\frac{1}{2}\sqrt{{{M}^{2}}+{{T}^{2}}}\]               done clear
  D)
  \[\frac{1}{2}\left( m+\sqrt{{{M}^{2}}+{{T}^{2}}} \right)\] done clear
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• question_answer6)
  A helical spring has N turns of coil of diameter D, and a second spring, made of same wire diameter and of same material, has N/2 turns of coil of diameter 2D. If the stiffness of the first spring is k, then the stiffness of the second spring will be:
  A)
  k/4                                done clear
  B)
  k/2 done clear
  C)
  2k                                 done clear
  D)
  4k done clear
  View Solution play_arrow

• question_answer7)
  If a prismatic bar be subjected to an axial tensile stress \[\sigma \] then shear stress induced on a plane inclined at \[\theta \] with the axis will be:
  A)
  \[\frac{\sigma }{2}\,\sin 2\theta \]             done clear
  B)
  \[\frac{\sigma }{2}\,\cos 2\theta \] done clear
  C)
  \[\frac{\sigma }{2}\,{{\cos }^{2}}\theta \]                      done clear
  D)
  \[\frac{\sigma }{2}\,{{\sin }^{2}}\theta \] done clear
  View Solution play_arrow

• question_answer8)
  Select the proper sequence                 

  1. Proportional Limit

  2. Elastic limit

  3. Yielding

  4. Failure

  A)
  2, 3, 1, 4                       done clear
  B)
  2, 1, 3, 4       done clear
  C)
  1, 3, 2, 4                       done clear
  D)
  1, 2, 3, 4 done clear
  View Solution play_arrow

• question_answer9)
        The relationship between constants E. G and K given by:     
  A)
  \[E=\frac{G+3K}{9KG}\]                       done clear
  B)
  \[E=\frac{3G+K}{9KG}\] done clear
  C)
  \[E=\frac{9KG}{G+3K}\]           done clear
  D)
  \[E=\frac{9KG}{3G+K}\]       done clear
  View Solution play_arrow

• question_answer10)
                 For the two shafts in parallel, find which statements is true?                                  
  A)
  Torque in each shaft is the same       done clear
  B)
  Shear stress in each shaft is the same    done clear
  C)
  Angle of twist of each shaft is the same done clear
  D)
  Torsional stiffness of each shaft is the same done clear
  View Solution play_arrow

• question_answer11)
  A vertical hanging bar of length L and weighing w N/unit length carries a load W at the bottom. The tensile force in the bar at a distance y from the support will be given by:               
  A)
  \[W+wL\]                      done clear
  B)
  \[W+w\,(L-y)\] done clear
  C)
  \[(W+w)\,\text{y/L}\]                  done clear
  D)
  \[W+\frac{W}{w}(L-y)\] done clear
  View Solution play_arrow

• question_answer12)
  In the case of bi-axial state of normal stress, the normal stress on \[45{}^\circ \] plane is equal to:     
  A)
  The sum of the normal stresses        done clear
  B)
  Difference of the normal stresses        done clear
  C)
  Half the sum of the normal stresses     done clear
  D)
  Half the difference of the normal stresses done clear
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• question_answer13)
  The temperature stress is a function of     

  1.  Coefficient of linear expansion

  2. Temperature rise

  3. Modulus of elasticity

  The correct answer is:                  
  A)
  1 and 2 only                  done clear
  B)
  1 and 3 only done clear
  C)
  2 and 3 only                  done clear
  D)
  1, 2 and 3    done clear
  View Solution play_arrow

• question_answer14)
  When two springs of equal length are arranged to form a cluster spring then which of the following  statements are true:                      

  1. Angle of twist in both the springs will be equal

  2. Deflection of both the springs will be equal

  3. Load taken by each spring will be half the total load

  4. Shear stress in each spring will be equal

  A)
  1 and 2 only                  done clear
  B)
  2 and 3 only done clear
  C)
  2 and 4 only                  done clear
  D)
  1, 2 and 4 only done clear
  View Solution play_arrow

• question_answer15)
  When \[\sigma \] and Young's Modulus of Elasticity constant, the energy-absorbing capacity subject to dynamic forces, is a function of its.
  A)
  Length               done clear
  B)
  cross-section done clear
  C)
  Volume             done clear
  D)
  none of the above done clear
  View Solution play_arrow

• question_answer16)
  Principal stresses at a point in plane stressed element are \[{{\sigma }_{x}}={{\sigma }_{y}}=500k\text{g/c}{{\text{m}}^{\text{2}}}.\] Normal stress on the plane inclined at \[45{}^\circ \] to x-axis will be:
  A)
  0                                  done clear
  B)
  \[500\,k\text{g/c}{{\text{m}}^{\text{2}}}\] done clear
  C)
  \[707\,k\text{g/c}{{\text{m}}^{\text{2}}}\]                    done clear
  D)
  \[1000\,k\text{g/c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer17)
  Two coiled springs, each having stiffness K, are placed in parallel. The stiffness of the combination will be:
  A)
  \[4K\]                            done clear
  B)
  \[2K\] done clear
  C)
  \[\frac{K}{2}\]                           done clear
  D)
  \[\frac{K}{4}\] done clear
  View Solution play_arrow

• question_answer18)
  A steel rod of 1 sq. cm. cross sectional area is 100 cm long and has a Young's modulus of elasticity \[2\times {{10}^{6}}\,\text{kg/c}{{\text{m}}^{\text{2}}}.\]it is subjected to an axial pull of 2000 kgf. The elongation of the rod will be:
  A)
  0.05 cm             done clear
  B)
  0.1 cm done clear
  C)
  0.15 cm             done clear
  D)
  0.20 cm done clear
  View Solution play_arrow

• question_answer19)
  If the area of cross-section of a wire is circular and if the radius of this circle decreases to half its original value due to the stretch of the wire by a load, then the modulus of elasticity of the wire will be:
  A)
  One-fourth of its original value done clear
  B)
  Halved done clear
  C)
  Doubled done clear
  D)
  Unaffected done clear
  View Solution play_arrow

• question_answer20)
  Match List-I with List-II and select the correct answer using the codes' giver below the lists:

  List-I		List-II
  A.	Ductility	1.	Impac test
  B.	Toughness	2.	Fatigue test
  C.	Endurance limit	3.	Tension test
  D.	Resistance to penetration	4.	Hardness test

  Codes:
  A)
  A\[\to \]3, B\[\to \]2, C\[\to \]1, D\[\to \]4 done clear
  B)
  A\[\to \]4, B\[\to \]2, C\[\to \]1, D\[\to \]3 done clear
  C)
  A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4 done clear
  D)
  A\[\to \]4, B\[\to \]1, C\[\to \]2, D\[\to \]3 done clear
  View Solution play_arrow

• question_answer21)
  If a material had a modulus of elasticity of \[2.1\times {{10}^{6}}\text{kgf/c}{{\text{m}}^{\text{2}}}\] and a modulus of rigidity of \[0.8\times {{10}^{6}}\text{kgf/c}{{\text{m}}^{\text{2}}}\] then the approximate value of the Poisson's ratio of the material would be:
  A)
  0.26                              done clear
  B)
  0.31 done clear
  C)
  0.47                              done clear
  D)
  05 done clear
  View Solution play_arrow

• question_answer22)
   A Long slender bar having uniform rectangular cross- action \['B\times H'\] is acted upon by an axial compressive force. The sides B and H are paralled to x-and y-axes respectively. The ends of the bar are fixed such that they behave as pinpointed when the bar buckles in a plane normal to x-axis, and they behave as built-in when the bar buckles in a plane normal to y-axis. If load capacity in either mode of buckling is same, then the value of \[\frac{H}{B}\] will be B:
  A)
  2                                  done clear
  B)
  4 done clear
  C)
  8                                  done clear
  D)
  16 done clear
  View Solution play_arrow

• question_answer23)
  Match List-I with List-II and select correct answer using the codes given below the lists:

  List-II (Condition of beam)		List-II (Bending moment diagram)
  A.	Subjected to bending moment at the end of a cantilever.	1.	Triangle
  B.	Cantilever carrying uniformly distributed load over the whole length	2.	Cubic parabola
  C.	Cantilever carrying linearly varying load from zero at the fixed end to maximum at the support.	3.	Parabola
  D.	A beam having load at the centre and supported at the ends	4.	Rectangle

  Codes:
  A)
  A\[\to \]4, B\[\to \]1, C\[\to \]2, D\[\to \]3 done clear
  B)
  A\[\to \]4, B\[\to \]3, C\[\to \]2, D\[\to \]1 done clear
  C)
  A\[\to \]3, B\[\to \]4, C\[\to \]2, D\[\to \]1 done clear
  D)
  A\[\to \]3, B\[\to \]4, C\[\to \]1, D\[\to \]2 done clear
  View Solution play_arrow

• question_answer24)
  The number of independent elastic constants required to express the stress strain relationship for a linearly elastic isotropic materials is
  A)
  One                              done clear
  B)
  Two done clear
  C)
  Three                done clear
  D)
  Four done clear
  View Solution play_arrow

• question_answer25)
  A simply supported beam of rectangular section 4 cm by 6 cm carries a mid-span concentrated load such that the 6 cm side lies parallel to line of action of loading; deflection under the load is\[\delta \]. If the beam is now supported with the 4cm side parallel to line of action of loading, the deflection under the load will be:
  A)
  0.44 \[\delta \]                done clear
  B)
  0.67 \[\delta \] done clear
  C)
  1.5 \[\delta \]                  done clear
  D)
  2.25 \[\delta \] done clear
  View Solution play_arrow

• question_answer26)
  A shaft was initially subjected to bending moment and then was subjected to torsion. If the magnitude of bending moment is found to be the same as that of the torque, then the ratio of maximum bending stress to shear stress would be:
  A)
  0.25                              done clear
  B)
  0.50 done clear
  C)
  2.0                                done clear
  D)
  4.0 done clear
  View Solution play_arrow

• question_answer27)
  A horizontal beam with square cross-section is simply supported with sides of the square horizontal and vertical and carries a distributed loading that produces maximum bending stress \[\sigma \] in the beam. When the beam is placed with one of the diagonals horizontal the maximum bending stress will be:
  A)
  \[\frac{1}{\sqrt{2}}\sigma \]                    done clear
  B)
  \[\sigma \] done clear
  C)
  \[\sqrt{2\sigma }\]                       done clear
  D)
  \[2\sigma \] done clear
  View Solution play_arrow

• question_answer28)
  The property by which an amount of energy is absorbed by a material without plastic deformation, is called:
  A)
  Toughness                      done clear
  B)
  impact strength done clear
  C)
  Ductility             done clear
  D)
  resilience done clear
  View Solution play_arrow

• question_answer29)
  In the assembly of pulley, key and shaft:
  A)
  Pulley is made the weakest done clear
  B)
  Key is made the weakest done clear
  C)
  Key is made the strongest done clear
  D)
  All the three are designed for equal strength done clear
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• question_answer30)
  Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are \[{{\varepsilon }_{1}}\] and \[{{\varepsilon }_{2}}\] respectively. Change in volume of the boiler cylinder per unit volume will be:
  A)
  \[{{\varepsilon }_{1}}+2{{\varepsilon }_{2}}\]                done clear
  B)
  \[{{\varepsilon }_{1}}+{{\varepsilon }_{2}}^{2}\] done clear
  C)
  \[2{{\varepsilon }_{1}}+{{\varepsilon }_{2}}\]                done clear
  D)
  \[{{\varepsilon }_{1}}^{2}+{{\varepsilon }_{2}}\] done clear
  View Solution play_arrow

• question_answer31)
  A metal pipe of 1 m diameter contains a fluid having a pressure of \[10\,\,\text{kgf/c}{{\text{m}}^{\text{2}}}\text{.}\] If the permissible tensile stress in the metal is \[200\,\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] then the thickness of the metal required for making the pipe would be:
  A)
  5 mm                done clear
  B)
  10 mm done clear
  C)
  20 mm              done clear
  D)
  25 mm done clear
  View Solution play_arrow

• question_answer32)
  A length of 10 mm diameter steel wire is coiled to a close coiled helical spring having 8 coils of 75 mm mean diameter, and the spring has a stiffness k. If the same length of wire is coiled to 10 coils of 60 mm mean diameter, then the spring stiffness will be:
  A)
  k                                   done clear
  B)
  1.25 k done clear
  C)
  1.56 k               done clear
  D)
  1.95 k done clear
  View Solution play_arrow

• question_answer33)
  The buckling load will he maximum for a column, if:
  A)
  One end of the column is clamped and the other end is free done clear
  B)
  Both ends of the column are clamped done clear
  C)
  Both ends of the column are hinged done clear
  D)
  One end of the column is hinged and the other end is free done clear
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• question_answer34)
  If the principal stresses corresponding to a two-dimensional state of stress are \[{{\sigma }_{1}}\] and \[{{\sigma }_{2}}.\]  If \[{{\sigma }_{1}}\] is greater than \[{{\sigma }_{2}}\] and both are tensile, then which one of the following would be the correct criterion for failure by yielding, according to the maximum shear stress criterion?
  A)
  \[({{\sigma }_{1}}+{{\sigma }_{2}})/2=\pm \,{{\sigma }_{yp}}/2\] done clear
  B)
  \[{{\sigma }_{1}}/2=\pm \,{{\sigma }_{yp}}/2\] done clear
  C)
  \[{{\sigma }_{2}}/2=\pm \,{{\sigma }_{yp}}/2\] done clear
  D)
  \[{{\sigma }_{1}}=\pm \,{{\sigma }_{yp}}\] done clear
  View Solution play_arrow

• question_answer35)
  A state of pure shear m a biaxial stress is gives by:
  A)
  \[\left[ \begin{matrix}    {{\sigma }_{1}} & {{\sigma }_{1}}  \\    0 & {{\sigma }_{2}}  \\ \end{matrix} \right]\]                   done clear
  B)
  \[\left[ \begin{matrix}    {{\sigma }_{1}} & 0  \\    0 & -{{\sigma }_{2}}  \\ \end{matrix} \right]\] done clear
  C)
  \[\left[ \begin{matrix}    {{\sigma }_{x}} & {{\tau }_{xy}}  \\    0 & -{{\sigma }_{Y}}  \\ \end{matrix} \right]\]                   done clear
  D)
  none of the above done clear
  View Solution play_arrow

• question_answer36)
  The number of strain readings (using strain gauges) needed on a plane surface to determine the principal strains and their direction is: 
  A)
  1                                  done clear
  B)
  2 done clear
  C)
  3                                  done clear
  D)
  4                done clear
  View Solution play_arrow

• question_answer37)
    When two mutually perpendicular principal stresses are unequal but alike, the maximum shear stress represented by:                              
  A)
  The diameter of the Mohr's circle           done clear
  B)
  Half the diameter of the Mohr's circle       done clear
  C)
  One-third the diameter of the Mohr's circle   done clear
  D)
  One-fourth the diameter of the Mohr's circle done clear
  View Solution play_arrow

• question_answer38)
  If the value of Poisson's ratio is zero, then it means that:
  A)
  The material is rigid done clear
  B)
  There is no longitudinal strain in the material done clear
  C)
  The material is perfectly plastic              done clear
  D)
  The longitudinal strain in the material is infinite done clear
  View Solution play_arrow

• question_answer39)
  The deformation of a bar under its own weight as compared to that when subjected to a direct axial lo equal to its own weight will be               
  A)
  The same                       done clear
  B)
  One-fourth   done clear
  C)
  Half                              done clear
  D)
  Double done clear
  View Solution play_arrow

• question_answer40)
          When a weight of 100 N falls on a spring of stiffness 1 kN/m from a height of 2m, the deflection caused in the first fall is:                             
  A)
  Equal to 0.1 m   done clear
  B)
  Between 0.1 and 0.2 done clear
  C)
  Equal to 0.2 m      done clear
  D)
  More than 0.2 m done clear
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• question_answer41)
  Two hollow shafts of the same material have the same length and outside diameter. Shaft 1 has internal diameter equal to one-third of the outer diameter and shaft 2 has internal diameter equal to half of the outer diameter. If both the shafts are subject to the same torque, the ratio of their twists \[{{\theta }_{1}}/{{\theta }_{2}}\] will be equal
  A)
  16/81                done clear
  B)
  8/27             done clear
  C)
  19/27                done clear
  D)
  243/256 done clear
  View Solution play_arrow

• question_answer42)
  A solid shaft of diameter 'D' caries a twisting moment that develops maximum shear stress \[\tau .\] If the shaft is replaced by a hollow one of outside diameter 'D' and  inside diameter D/2, then the maximum shear stress
  A)
  \[1.067\,\tau \]                done clear
  B)
  \[1.143\,\tau \]          done clear
  C)
  \[1.333\,\tau \]                done clear
  D)
  \[2\,\tau \] done clear
  View Solution play_arrow

• question_answer43)
  A circular shaft can transmit a torque of 5 kNm. the torque is reduced to 4 kNm then the maximum value of bending moment that can be applied to the shaft is
  A)
  1 kNm               done clear
  B)
  2 kNm      done clear
  C)
  3 kNm               done clear
  D)
  4 kNm done clear
  View Solution play_arrow

• question_answer44)
        A thin cylinder contains fluid at a pressure of  \[500\,N/{{m}^{2}},\] the internal diameter of the shell is 0.6 m and the tensile stress in the material is to be limited to \[9000\,N/{{m}^{2}}.\] The shell must have a minimum wall thickness of nearly
  A)
  9 mm                done clear
  B)
  11 mm          done clear
  C)
  17 mm              done clear
  D)
  21 mm done clear
  View Solution play_arrow

• question_answer45)
           A steel hub of 100 mm internal diameter and uniform thickness of 10 mm was heated to a temperature \[300{}^\circ C\] to shrink-fit on a shaft. On cooling, a crack developed parallel to the direction of the length of the hub. Consider the following factors in this

  1. Tensile hoop stress

  2. Tensile radial stress

  3. Compressive hoop stress

  4. Compressive radial stress

  The cause of failure is attributable to:
  A)
  1 alone              done clear
  B)
  1 and 3 done clear
  C)
  1, 2 and 4                      done clear
  D)
  2, 3 and 4 done clear
  View Solution play_arrow

• question_answer46)
  A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is \[11\,kg/c{{m}^{2}}.\] The maximum hoop stress developed in the inner cylinder is:
  A)
  \[36\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Compression done clear
  B)
  \[36\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Tension done clear
  C)
  \[72\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Compression        done clear
  D)
  \[72\,\text{kgf/c}{{\text{m}}^{\text{2}}}\]Tension done clear
  View Solution play_arrow

• question_answer47)
  Cracks in helical springs used in railway carriages usually start on the inner side of the coil because of the fact that:
  A)
  It is subjected to a higher stress flan the outer side done clear
  B)
  it is subjected to a higher cyclic loading than the outer side done clear
  C)
  It is more stretched than the outer side during the manufacturing process done clear
  D)
  It has a lower curvature than the outer side done clear
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• question_answer48)
  Two helical springs of the same material and of equal circular cross-section and length and number of turns, but having radii 90 mm and 40 nun, kept concentrically (smaller radius spring within the larger radius spring), arc compressed between two parallel planes with a load P. The inner spring will carry a load equal to:
  A)
  \[\frac{P}{2}\]                           done clear
  B)
  \[\frac{P}{3}\] done clear
  C)
  \[\frac{P}{1.088}\]                     done clear
  D)
  \[\frac{P}{2.088}\] done clear
  View Solution play_arrow

• question_answer49)
  Rankine-Gordon formula for buckling is valid for:
  A)
  Long column done clear
  B)
  Short column done clear
  C)
  Short and long column done clear
  D)
  Very long column done clear
  View Solution play_arrow

• question_answer50)
  If failure in shear along \[45{}^\circ \] planes is to be avoided then a material subjected to uniaxial tension should have its shear strength equal to at least:
  A)
  Tensile strength done clear
  B)
  Compressive strength done clear
  C)
  Half the difference between the tensile and compressive strengths done clear
  D)
  Half the tensile strength done clear
  View Solution play_arrow

• question_answer51)
  A shaft is subjected to a maximum bending stress of \[80\,N/m{{m}^{2}}\] and maximum shearing stress equal to \[30\,N/m{{m}^{2}}\] at a particular section. If the yield point in tension of the material is \[280\,N/m{{m}^{2}},\] and maximum shear stress theory of failure is used, then the factor of safety obtained will be:
  A)
  2.5                                done clear
  B)
  2.8 done clear
  C)
  3.0                                done clear
  D)
  3.5 done clear
  View Solution play_arrow

• question_answer52)
  If \[{{\sigma }_{y}}\] is the yield strength of a particular material, then the distortion energy theory is expressed as:
  A)
  \[{{({{\sigma }_{1}}-{{\sigma }_{2}})}^{2}}+{{({{\sigma }_{2}}-{{\sigma }_{3}})}^{2}}+{{({{\sigma }_{3}}-\sigma )}^{2}}=2s_{y}^{2}\] done clear
  B)
  \[({{\sigma }_{1}}^{2}+{{\sigma }_{2}}+{{\sigma }_{3}})-2v({{\sigma }_{1}}{{\sigma }_{2}}+{{\sigma }_{2}}{{\sigma }_{3}}+{{\sigma }_{3}}{{\sigma }_{1}})=\sigma _{y}^{2}\] done clear
  C)
  \[({{\sigma }_{1}}+{{\sigma }_{2}}^{2})+{{({{\sigma }_{2}}-{{\sigma }_{3}})}^{2}}+{{({{\sigma }_{3}}-{{\sigma }_{1}})}^{2}}=3{{\sigma }_{y}}^{2}\] done clear
  D)
  \[(1-2v){{({{\sigma }_{1}}+{{\sigma }_{2}}+{{\sigma }_{3}})}^{2}}=2(1+v){{\sigma }_{y}}\] done clear
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• question_answer53)
  Hoop stress and longitudinal stress in a boiler shell under internal pressure are \[100\,\text{MN/}{{\text{m}}^{\text{2}}}\] and \[50\,MN/{{m}^{2}}\] respectively. Young's modulus of elasticity and Poisson's ratio of the shell material are \[200\,\text{GN/}{{\text{m}}^{\text{2}}}\] and 0.3 respectively. The hoop strain in boiler shell is:
  A)
  \[0.425\times {{10}^{-\,3}}\]                 done clear
  B)
  \[0.5\times {{10}^{-\,3}}\] done clear
  C)
  \[0.585\times {{10}^{-\,3}}\]                 done clear
  D)
  \[0.75\times {{10}^{-\,3}}\] done clear
  View Solution play_arrow

• question_answer54)
  The stretch in a steel rod of circular section, having a length ?l' subjected to a tensile load 'P' and tapering uniformly from a diameter \[{{d}_{1}}\] at one end to a diameter \[{{d}_{2}}\] at the other end, is given:
  A)
  \[\text{Pl/4}\,E{{d}_{1}}{{d}_{2}}\]                 done clear
  B)
  \[\text{Pl}\,\pi \,E{{d}_{1}}{{d}_{2}}\] done clear
  C)
  \[\text{Pl/4}E({{d}_{1}}.{{d}_{2}})\]                done clear
  D)
  \[\text{4P}\text{.l/}\pi \text{.}E.{{d}_{1}}.{{d}_{2}}\] done clear
  View Solution play_arrow

• question_answer55)
  A simply supported beam of constant flexural rigidity and length 2 L carries a concentrated load 'P' at its mid-span and the deflection under that load is \[\delta .\] If a cantilever beam of the same flexural rigidity and length is subjected to load 'P' at its free end, them the deflection at the free end will be
  A)
  \[1/2\delta \]                   done clear
  B)
  \[\delta \] done clear
  C)
  \[2\delta \]                                  done clear
  D)
  \[4\delta \] done clear
  View Solution play_arrow

• question_answer56)
  If Poisson's ratio for a material is 0.5, then the elastic modulus for the material is:
  A)
  Three times its shear modulus done clear
  B)
  Four times its shear modulus done clear
  C)
  Equal to its shear modulus done clear
  D)
  Indeterminate. done clear
  View Solution play_arrow

• question_answer57)
  From a tension test, the yield strength of steel is found to be \[200\,\text{N/m}{{\text{m}}^{\text{2}}}\text{.}\] Using a factor of safety of 2 and applying maximum principal stress theory of failure, the permissible stress in the steel shaft subjected to torque will be:
  A)
  \[50\,\text{N/m}{{\text{m}}^{\text{2}}}\]                     done clear
  B)
  \[57.7\,\text{N/m}{{\text{m}}^{\text{2}}}\] done clear
  C)
  \[86.6\,\text{N/m}{{\text{m}}^{\text{2}}}\]                  done clear
  D)
  \[100\,\text{N/m}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer58)
  A solid shaft of diameter 100 mm, length 1000 mm is subjected to a twisting moment 'T'. The maximum shear stress developed in the shaft is 60 N/mm. A hole of 50 mm diameter is now drilled throughout the length of shaft. To develop a maximum shear stress of 60 N/ mm in the hollow shaft, the torque 'T' must he reduced by
  A)
  T/4                               done clear
  B)
  T/8 done clear
  C)
  T/12                              done clear
  D)
  T/16 done clear
  View Solution play_arrow

• question_answer59)
  A rectangular section beam subjected to a bending moment M varying along its length is required to develop same maximum bending stress at any cross- section. If the depth of the section is constant, then its width will vary as:
  A)
  \[M\]                             done clear
  B)
  \[\sqrt{M}\] done clear
  C)
  \[{{M}_{2}}\]                           done clear
  D)
  \[\text{1/M}\] done clear
  View Solution play_arrow

• question_answer60)
  Consider the following statements:

  If at section distant from one of the ends of the beam, M represents the bending moment, V the shear force and w the intensity of loading, then

  1. dM/dx = V

  2. dV/dx = w

  3.  dw/dx = y (the deflection of the beam at the section)

  Of these statements:

  A)
  1 and 3 are correct done clear
  B)
  1 and 2 are correct done clear
  C)
  2 and 3 are correct done clear
  D)
  1, 2 and 3 are correct done clear
  View Solution play_arrow

• question_answer61)
  A cantilever beam having 5 m length is so loaded that it develops a shearing force of 20 T and a bending moment of 20 T-m at a section 2m from the free end. Maximum shearing force and maximum, bending moment developed in the beam under this load, are respectively 50 T and 125 T-m. The load on the beam is:
  A)
  25 T concentrated load at free end. done clear
  B)
  20 T concentrated load at free end. done clear
  C)
  5 T concentrated load at free end and 2 T/m load over entire length. done clear
  D)
  10 T/mudl over entire length done clear
  View Solution play_arrow

• question_answer62)
  Consider the following statements:

  State of stress in two dimensions at a point in a loaded component can be completely specified by indicating the normal and shear stresses on

  1. A plane containing the point

  2. Any two planes passing through the point

  3. Two mutually perpendicular planes passing through the point

  Of these statements
  A)
  1 and 3 are correct          done clear
  B)
  2 alone is correct done clear
  C)
  1 alone is correct done clear
  D)
  3 alone is correct done clear
  View Solution play_arrow

• question_answer63)
  Which one of the following properties is more sensitive to increase in strain rate?
  A)
  Yield strength     done clear
  B)
  Proportional limit done clear
  C)
  Elastic limit                    done clear
  D)
  Tensile strength done clear
  View Solution play_arrow

• question_answer64)
  A simply supported beam carrying a concentrated load W at mid-span deflects by \[{{\delta }_{1}}\] under the lode. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection \[{{\delta }_{2}}\] at the mid span. The ratio, \[{{\delta }_{1}}:{{\delta }_{2}}\] is:
  A)
  2 : 1                              done clear
  B)
  \[\sqrt{2}:1\]      done clear
  C)
  1.6 : 1               done clear
  D)
  1 : 2 done clear
  View Solution play_arrow

• question_answer65)
           Match List-I with List-II and select the correct answer using the codes given below the lists:

  List-I (End conditions of columns)		List-II (Lowest critical load)
  A.	Column with both ends hinged	1.	\[({{\pi }^{2}}El)/{{L}^{2}}\]
  B.	Column with both ends fixed	2.	\[(2{{\pi }^{2}}El)/{{L}^{2}}\]
  C.	Column with one end fixed and the other end hinged	3.	\[({{\pi }^{2}}El)/{{L}^{2}}\]
  D.	Column with one end fixed and the other end free	4.	\[({{\pi }^{2}}El)/4{{L}^{2}}\]

  (E is the young's modulus of elasticity of column material, L is the length and I is the second moment of area of cross-section of the column).      Codes:  
  A)
  A\[\to \]1, B\[\to \]2, C\[\to \]3, D\[\to \]4 done clear
  B)
  A\[\to \]3, B\[\to \]2, C\[\to \]1, D\[\to \]4 done clear
  C)
  A\[\to \]1, B\[\to \]3, C\[\to \]2, D\[\to \]4 done clear
  D)
  A\[\to \]2, B\[\to \]4, C\[\to \]3, D\[\to \]1   done clear
  View Solution play_arrow

• question_answer66)
                         Euler's formula can be used for obtaining crippling load for a M.S. column with hinged ends. Which one of the following conditions for the slenderness ratio l/k is to be satisfied?                    
  A)
  \[5<\frac{1}{k}<8\]                   done clear
  B)
  \[9<\frac{1}{k}<8\] done clear
  C)
  \[19<\frac{1}{k}<40\]               done clear
  D)
  \[\frac{1}{k}\ge 80\] done clear
  View Solution play_arrow

• question_answer67)
  A 3-meter long steel cylindrical shaft is rigidly held at its two ends. A pulley is mounted on the shaft at 1 meter from one end; the shaft is twisted by applying torque on the pulley.                     The maximum shearing stresses developed in 1m and 2m lengths are respectively \[{{\tau }_{1}}\] and \[{{\tau }_{2}}.\]the ratio \[{{\tau }_{2}},{{\tau }_{1}}\] is:
  A)
  1/2                                done clear
  B)
  1        done clear
  C)
  2                                  done clear
  D)
  4     done clear
  View Solution play_arrow

• question_answer68)
        A closely-coiled helical spring is acted upon by an axial force. The maximum shear stress developed in the spring is t. Half of the length of spring is cut off and the remaining spring is acted upon by the same axial force. The maximum shear stress in the spring in the new condition will be:             
  A)
  \[\text{1/2}\,\tau \]                     done clear
  B)
  \[\tau \] done clear
  C)
  \[\text{2}\,\tau \]                                    done clear
  D)
  \[\text{4}\,\tau \] done clear
  View Solution play_arrow

• question_answer69)
  A circular shaft is subjected to the combined action of bending, twisting and direct axial loading. The maximum bending stress \[\sigma \]maximum shearing stress \[\sqrt{3\sigma }\] and a uniform axial stress \[\sigma \](compressive) are produced. The \[\sigma \]maximum compressive normal stress produced in the shaft will be
  A)
  \[3\,\sigma \]                              done clear
  B)
  \[2\,\sigma \] done clear
  C)
  \[\sigma \]                                  done clear
  D)
  Zero done clear
  View Solution play_arrow

• question_answer70)
  Permissible bending moment in a circular shaft under pure bending is M according to maximum principal stress theory of failure. According to maximum shear stress theory of failure, the permissible bending moment in the same shaft is:
  A)
  1/2M                 done clear
  B)
  M done clear
  C)
  \[\sqrt{M}\]                    done clear
  D)
  2M done clear
  View Solution play_arrow

• question_answer71)
  A long helical spring having a spring-stiffness of 12 kN/m and number of turns 20, breaks into two equal parts. The resultant spring stiffness will be:
  A)
  6 kN/m              done clear
  B)
  12 kN/m done clear
  C)
  24 kN/m                        done clear
  D)
  30 kN/m done clear
  View Solution play_arrow

• question_answer72)
  Consider the following statements.

  State of stress at a point when completely specified, enables one to determine the

  1. Principal stresses at the point.

  2. Maximum shearing stress at the point

  3. Stress components on any arbitrary plane containing the point

  Of these statements:
  A)
  1, 2 and 3 are correct done clear
  B)
  1 and 3 are correct done clear
  C)
  2 and 3 are correct   done clear
  D)
  1 and 2 are correct done clear
  View Solution play_arrow

• question_answer73)
  Match List-I (End conditions of columns) with List-II (Equivalent length in terms of length of hinged-hinged column) and select the correct answer using the codes given below the lists:

  List-I		List-II
  A.	Both ends hinged	1.	L
  B.	One end fixed and other end free	2.	\[L\,/\sqrt{2}\]
  C.	One end fixed and the other pin-jointed	3.	\[\frac{L}{2}\]
  D.	Both ends fixed	4.	2L

  Codes:  
  A)
  A\[\to \]1, B\[\to \]4, C\[\to \]3, D\[\to \]2 done clear
  B)
  A\[\to \]1, B\[\to \]4, C\[\to \]2, D\[\to \]3 done clear
  C)
  A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4 done clear
  D)
  A\[\to \]3, B\[\to \]1, C\[\to \]4, D\[\to \]2 done clear
  View Solution play_arrow

• question_answer74)
  Two closed-coil springs are made from the same small diameter wire, one wound on 2.5 cm diameter core and the other on 1.25 cm diameter core. If each spring has V coils, then the ratio of their spring constants would be
  A)
  1/16                              done clear
  B)
  1/8 done clear
  C)
  1/4                                done clear
  D)
  1/2 done clear
  View Solution play_arrow

• question_answer75)
  The maximum bending moment in a simply supported beam of length L loaded by a concentrated load W at the midpoint is given by:
  A)
  \[WL\]                           done clear
  B)
  \[\frac{WL}{2}\] done clear
  C)
  \[\frac{WL}{4}\]                                    done clear
  D)
  \[\frac{WL}{8}\] done clear
  View Solution play_arrow

• question_answer76)
  'Match List-I with List-II and select the correct answer using the codes given below the list:

  List-I		List-II
  A.	Bending moment is constant	1.	Point of contra-flexure
  B.	Bending moment is maximum or minimum	2.	Shear force changes sign
  C.	Bending moment is zero	3.	Slope of shear force diagram is zero over the portion of the beam
  D.	Loading is constant	4.	Shear force is zero over the portion of the beam.

  Codes:  
  A)
  A\[\to \]4, B\[\to \]1, C\[\to \]2, D\[\to \]3 done clear
  B)
  A\[\to \]1, B\[\to \]4, C\[\to \]2, D\[\to \]3 done clear
  C)
  A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4 done clear
  D)
  A\[\to \]3, B\[\to \]1, C\[\to \]4, D\[\to \]2 done clear
  View Solution play_arrow

• question_answer77)
  If the shear force acting at every section of a beam is of the same magnitude and of the same direction then it represents a:
  A)
  Simply supported beam with a concentrated load at the centre done clear
  B)
  Overhung beam having equal overhang at both supports and carrying equal concentrated loads acting in the same direction at the free ends done clear
  C)
  Cantilever subjected to concentrated load at the free end                      done clear
  D)
  Simply supported beam having concentrated loads of equal magnitude and in the same direction acting at equal distances from the supports done clear
  View Solution play_arrow

• question_answer78)
  A cantilever beam carries a load W uniformly distributed over its entire length. If the same load is placed at the free and of the same cantilever, then the ratio of maximum deflection in the first case to that in the second case will be:
  A)
  3/8                                done clear
  B)
  8/3 done clear
  C)
  5/8                                done clear
  D)
  8/5 done clear
  View Solution play_arrow

• question_answer79)
  Circumferential stress in a cylindrical steel boiler shell under internal pressure is 80 MPa, Young's modulus of elasticity and Poisson's ratio are respectively \[2\times {{10}^{5}}\] MPa and 0.28. The magnitude of circumferential strain in the boiler shell will be
  A)
  \[3.44\times {{10}^{-\,4}}\]                   done clear
  B)
  \[3.84\times {{10}^{-\,4}}\] done clear
  C)
  \[4\times {{10}^{-\,4}}\]                       done clear
  D)
  \[4.56\times {{10}^{-\,4}}\] done clear
  View Solution play_arrow

• question_answer80)
  For a cantilever beam of length 'L' flexural rigidity El and loaded at its free end by a concentrated load 'M' match list-I with list-II and select the correct answer:

  List-I		List-II
  A.	maximum bending moment	1.	WL
  B.	Strain energy	2.	\[\text{W}{{\text{L}}^{\text{2}}}\text{/2EI}\]
  C.	Maximum slope	3.	\[\text{W}{{\text{L}}^{3}}\text{/2EI}\]
  D.	Maximum deflection	4.	\[{{\text{W}}^{2}}{{\text{L}}^{2}}\text{/6EI}\]

  Codes:  
  A)
  A\[\to \]1, B\[\to \]4, C\[\to \]3, D\[\to \]2 done clear
  B)
  A\[\to \]1, B\[\to \]4, C\[\to \]2, D\[\to \]3 done clear
  C)
  A\[\to \]4, B\[\to \]2, C\[\to \]1, D\[\to \]3 done clear
  D)
  A\[\to \]4, B\[\to \]2, C\[\to \]1, D\[\to \]2 done clear
  View Solution play_arrow

• question_answer81)
  At a certain section at a distance 'x' from one of the supports of a simply supported beam, the intensity of loading, bending moment and shear force are \[{{\text{W}}_{x}},{{M}_{x}},\] and \[{{V}_{x}},\] respectively, if the intensity of loading is varying continuously along the length of the beam, them the invalid relation is:
  A)
  \[Slop,\,\,{{Q}_{x}}=\frac{Mx}{Vx}\]    done clear
  B)
  \[{{V}_{x}}=\frac{dMx}{dx}\] done clear
  C)
  \[{{W}_{x}}=\frac{{{d}^{2}}Mx}{d{{x}^{2}}}\]                  done clear
  D)
  \[{{W}_{x}}=\frac{d{{V}_{x}}}{dx}\] done clear
  View Solution play_arrow

• question_answer82)
  The equivalent bending moment under combined action of bending moment M and torque T is:
  A)
  \[\sqrt{{{M}^{2}}+{{T}^{2}}}\]                    done clear
  B)
  \[\frac{1}{2}\,\sqrt{{{M}^{2}}+{{T}^{2}}}\] done clear
  C)
  \[\frac{1}{2}\,\sqrt{{{M}^{3}}+{{T}^{2}}}\]             done clear
  D)
  \[\frac{1}{2}\,\left( M+\sqrt{{{M}^{3}}+{{T}^{2}}} \right)\] done clear
  View Solution play_arrow

• question_answer83)
  The bending moment (M) is constant over a length segment / of a beam. The shearing force will also be constant over this length and is given by:
  A)
  M/l                                done clear
  B)
  M/2l done clear
  C)
  M/4l                              done clear
  D)
  none of the above done clear
  View Solution play_arrow

• question_answer84)
  In a thick cylinder, subjected to internal and external pressures, let \[{{r}_{1}}\] and \[{{r}_{2}}\] be the internal and external radii respectively. Let u be the radial displacement of a material element at radius \[r,{{r}_{2}}\ge {{r}_{1}}.\] Identifying the cylinder axis as z axis, the radial strain component \[{{\varepsilon }_{r}}\] is:
  A)
  \[u/r\]                            done clear
  B)
  \[u/\theta \] done clear
  C)
  \[du/dr\]             done clear
  D)
  \[du/d\theta \] done clear
  View Solution play_arrow

• question_answer85)
  Auto-frettage is the method of:
  A)
  Joining thick cylinders done clear
  B)
  Calculating stresses in thick cylinders done clear
  C)
  Prestressing thick cylinders done clear
  D)
  Increasing the life of thick cylinders done clear
  View Solution play_arrow

• question_answer86)
  Given that

  d = diameter of spring.

  R = mean radius of coils.

  n = number of coils, and

  G = modulus of rigidity.

  The stiffness of the close-coiled helical spring subject to an axial load W is equal to:    
  A)
  \[\frac{G{{d}^{4}}}{64{{R}^{3}}n}\]            done clear
  B)
  \[\frac{G{{d}^{3}}}{64{{R}^{3}}n}\] done clear
  C)
  \[\frac{G{{d}^{4}}}{32{{R}^{3}}n}\]            done clear
  D)
  \[\frac{G{{d}^{4}}}{64{{R}^{3}}n}\]          done clear
  View Solution play_arrow

• question_answer87)
  When a close-coiled helical spring is subjected to a couple about its axis, the stress induced in  the material of the spring is:                   
  A)
  Bending stress only                     done clear
  B)
  Direct shear stress only                  done clear
  C)
  A combination of torsional shear stress and bending stress done clear
  D)
  A combination of bending stress and direct shear stress done clear
  View Solution play_arrow

• question_answer88)
  If a shaft made from ductile material is subjected to combined bending and twisting moments, calculation based on which one of the following failure theories would give the most conservative value?   
  A)
  Maximum principal stress theory       done clear
  B)
  Maximum shear stress theory         done clear
  C)
  Maximum strain energy theory        done clear
  D)
  Maximum distortion energy theory done clear
  View Solution play_arrow

• question_answer89)
      During tensile-testing of a specimen using Universal Testing Machine, the parameters actually measures include:
  A)
  True stress and true strain                 done clear
  B)
  Poisson's ratio and Young's modulus    done clear
  C)
  Engineering stress and engineering strain done clear
  D)
  Load and elongation  done clear
  View Solution play_arrow

• question_answer90)
                    The state of plane stress in a plate of 100 mm thickness is given as

  \[{{\sigma }_{xx}}=100\,\text{N/m}{{\text{m}}^{\text{2}}}\text{,}\] \[{{\sigma }_{xy}}=200\,\text{N/m}{{\text{m}}^{\text{2}}}\]

  Young's modulus \[=300\,\text{N/m}{{\text{m}}^{\text{2}}}\]

  Poission?s ratio = 0.3

  The stress developed in the direction of thickness
  A)
  zero done clear
  B)
  \[90\text{ }N/m{{m}^{2}}\] done clear
  C)
  \[100\text{ }N/m{{m}^{2}}\] done clear
  D)
  \[200\text{ }N/m{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer91)
  A plane stressed clement is subjected to the state of stress given by \[{{\sigma }_{x}}={{\tau }_{xy}}=10\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] and \[{{\sigma }_{x}}=0.\] Maximum shear stress in the element is equal to:
  A)
  \[50\sqrt{3}\,\text{kgf}\,\,\text{c}{{\text{m}}^{\text{2}}}\]         done clear
  B)
  \[100\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] done clear
  C)
  \[50\sqrt{5}\,\text{kgf/c}{{\text{m}}^{\text{2}}}\]         done clear
  D)
  \[150\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer92)
  Match List-I (Elastic properties of an isotropic elastic material) with0 List-II (Nature of strain produced) and select the correct answer using the codes given below the list:

  List-I		List-II
  A.	Young's modulus	1.	Shear strain
  B.	Modulus of rigidity	2.	Normal strain
  C.	Bulk modulus	3.	Transverse strain
  D.	Poisson's ratio	4.	Volumetric strain

  Codes:  
  A)
  A\[\to \]2, B\[\to \]1, C\[\to \]3, D\[\to \]4 done clear
  B)
  A\[\to \]2, B\[\to \]1, C\[\to \]4, D\[\to \]3 done clear
  C)
  A\[\to \]3, B\[\to \]4, C\[\to \]1, D\[\to \]2 done clear
  D)
  A\[\to \]4, B\[\to \]3, C\[\to \]1, D\[\to \]2 done clear
  View Solution play_arrow

• question_answer93)
  The relationship between the Lame's constant \['\lambda '.\] Young's modulus 'E' and the Poisson's ratio 'v' is:
  A)
  \[\lambda =\frac{Ev}{(1+v)(1-2y)}\]       done clear
  B)
  \[\lambda =\frac{Ev}{(1+2v)(1-v)}\] done clear
  C)
  \[\lambda =\frac{Ev}{(1+v)}\]                done clear
  D)
  \[\lambda =\frac{Ev}{(1-v)}\] done clear
  View Solution play_arrow

• question_answer94)
  A 10 cm long and 5 cm diameter steel rod fits snugly between two rigid walls 10 cm apart at room temperature. Young's modulus of elasticity and coefficient of linear expansion of steel are \[2\times {{10}^{6}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\] and \[12\times {{10}^{-\,6}}\] per \[{}^\circ C\] respectively. The stress developed in rod due to a \[100{}^\circ C\] rise in temperature will be:
  A)
  \[6\times {{10}^{-\,10}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]  done clear
  B)
  \[6\times {{10}^{-\,10}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\] done clear
  C)
  \[2.4\times {{10}^{3}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\]    done clear
  D)
  \[2.4\times {{10}^{4}}\,\text{kg/c}{{\text{m}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer95)
  The number of elastic constants for a completely anisotropic elastic material which follows Hooks laws is
  A)
  3                                  done clear
  B)
  4 done clear
  C)
  21                                 done clear
  D)
  25 done clear
  View Solution play_arrow

• question_answer96)
  The bending moment equation, as a function of distance x measured from the left end, for a simply supported beam of span. L m carrying a uniformly distributed load of intensity w N/m will be given by
  A)
  \[M=wL/2(L-x)-W/2(L-x)N.m\] done clear
  B)
  \[M=wL/2x-w{{x}^{2}}/2-N.m\] done clear
  C)
  \[M=wL/2{{(L-x)}^{2}}-w/2(L-x)N.m\] done clear
  D)
  \[M=w{{x}^{2}}/2-wLx/2N.m\] done clear
  View Solution play_arrow

• question_answer97)
  If a beam is subjected to a constant bending moment along its length, then the shear force will:
  A)
  Also have a constant value everywhere along its length done clear
  B)
  Be zero at all sections along the beam done clear
  C)
  Be maximum at the centre and zero at the ends done clear
  D)
  Zero at the centre and maximum at the ends done clear
  View Solution play_arrow

• question_answer98)
  A simply supported beam with width 'b' and depth ?d? carries a central load Wand undergoes deflection 8 at the centre. If the width and depth are interchanged the deflection at the centre of the beam would attain the value:
  A)
  \[\frac{d}{b}\delta \]                               done clear
  B)
  \[{{\left( \frac{d}{b} \right)}^{2}}\delta \] done clear
  C)
  \[{{\left( \frac{d}{b} \right)}^{3}}\delta \]                       done clear
  D)
  \[{{\left( \frac{d}{b} \right)}^{3/2}}\delta \] done clear
  View Solution play_arrow

• question_answer99)
  For a composite consisting of a bar enclosed inside a tube of another material when compressed under a load 'W? as a whole through rigid collars at the end of the bar. The equation of compatibility is given by (suffixes 1 and 2) refer to bar and tube respectively:
  A)
  \[{{W}_{1}}+{{W}_{2}}=W\] done clear
  B)
  \[{{W}_{1}}+{{W}_{2}}=\text{constant}\] done clear
  C)
  \[\frac{{{W}_{1}}}{{{A}_{1}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{2}}}\] done clear
  D)
  \[\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{1}}{{E}_{2}}}\]  done clear
  View Solution play_arrow

• question_answer100)
  A rod of material with \[E=200\times {{10}^{3}}\] MPa and \[\propto ={{10}^{-\,3}}\text{mm/mm }\!\!{}^\circ\!\!\text{ C}\] is fixed at both the ends. It is uniformly heated such that the increase in temperature is\[\text{30 }\!\!{}^\circ\!\!\text{ C}\]. The stress, developed in the rod is
  A)
  \[6000\,\,\text{N/m}{{\text{m}}^{\text{2}}}\](Tensile) done clear
  B)
  \[6000\,\,\text{N/m}{{\text{m}}^{\text{2}}}\](Compressive) done clear
  C)
  \[2000\,\,\text{N/m}{{\text{m}}^{\text{2}}}\](Tensile) done clear
  D)
  \[2000\,\,\text{N/m}{{\text{m}}^{\text{2}}}\](Compressive) done clear
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• question_answer101)
  A wooden beam of rectangular cross-section 10 cm deep by 5 cm wide carries maximum shear force of 2000 kg. Shear stress at neutral axis of the beam section is:
  A)
  Zero                              done clear
  B)
  \[40\,\,kgf\text{/c}{{\text{m}}^{\text{2}}}\] done clear
  C)
  \[60\,\,kgf\text{/c}{{\text{m}}^{\text{2}}}\]                   done clear
  D)
  \[80\,\,kgf\text{/c}{{\text{m}}^{\text{2}}}\] done clear
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• question_answer102)
  Two beams of equal cross-sectional area arc subjected to equal bending moment. If one beam has square cross-section and the other has circular section, then
  A)
  Both beams will be equally strong done clear
  B)
  Circular section beam will be stronger done clear
  C)
  Square section beam will be stronger done clear
  D)
  The strength of the beam will depend on the nature of loading done clear
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• question_answer103)
  A cantilever beam of rectangular cross-section is subjected to a load W at its free end. If the depth of the beam is doubled and the load is halved, the deflection of the free end as compared to original deflection will be
  A)
  Half                              done clear
  B)
  One-eighth done clear
  C)
  One-sixteenth     done clear
  D)
  Double done clear
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• question_answer104)
  The ratio of the compressive critical load for a long column fixed at both the ends and a column with one end fixed and the other end free is:
  A)
  2 : 1                              done clear
  B)
  4 : 1 done clear
  C)
  8 : 1                              done clear
  D)
  16 : 1 done clear
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• question_answer105)
  Maximum shear stress in a solid shaft of diameter D and length L twisted through an angle \[\theta \] is \[\tau \] A hollow shaft of same material and length having outside and inside diameters of D and D/2 respectively is also twisted through the same angle of twist \[\theta .\] The value of maximum shear stress in the hollow shaft will be.
  A)
  \[\frac{16}{15}\tau \]                 done clear
  B)
  \[\frac{8}{7}\tau \] done clear
  C)
  \[\frac{4}{3}\tau \]                                 done clear
  D)
  \[\tau \] done clear
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• question_answer106)
  From design point of view, spherical pressure vessel are preferred over cylindrical pressure vessels because they:
  A)
  Are cost effective in fabrication done clear
  B)
  Have uniform higher circumferential stress done clear
  C)
  Uniform lower circumferential stress done clear
  D)
  Have a larger volume for the same quantity of material used done clear
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• question_answer107)
  A solid circular shaft is subjected to pure torsion. The ratio of maximum shear stress to maximum norms stress at any point would be
  A)
  1 : 1                              done clear
  B)
  1 : 2 done clear
  C)
  2 : 1                              done clear
  D)
  2 : 3 done clear
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• question_answer108)
  Which one of the following gives the correct expression for strain energy stored in a beam of length L and of uniform cross-section having moment of inertia I and subjected to constant bending moment M?
  A)
  \[\frac{ML}{EI}\]                                   done clear
  B)
  \[\frac{ML}{2EI}\] done clear
  C)
  \[\frac{{{M}^{2}}L}{EI}\]                    done clear
  D)
  \[\frac{{{M}^{2}}L}{2EI}\] done clear
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• question_answer109)
  Plane stress at a point in a body is defined by principal stresses \[3\sigma \] and \[\sigma .\] The ratio of the maximum normal stress to the maximum shear stress on the plane of maximum shear stress is:
  A)
  1                                  done clear
  B)
  2 done clear
  C)
  3                                  done clear
  D)
  4 done clear
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• question_answer110)
  A cylindrical vessel with flat bottom can be deep drawn by:
  A)
  Shallow drawing done clear
  B)
  Single action deep drawing done clear
  C)
  Double action deep drawing done clear
  D)
  Triple action deep drawing. done clear
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• question_answer111)
  A short column of external diameter D and internal diameter d carries an eccentric load d. The greatest eccentricity which the load can have without producing tension on the cross- section of the column would be
  A)
  \[\frac{d+D}{8}\]                      done clear
  B)
  \[\frac{{{d}^{2}}+{{D}^{2}}}{8d}\] done clear
  C)
  \[\frac{{{d}^{2}}+{{D}^{2}}}{8d}\]              done clear
  D)
  \[\sqrt{\frac{{{d}^{2}}+{{D}^{2}}}{8}}\] done clear
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• question_answer112)
  A bar of length L and of uniform cross-section are A and second moment of area l is subjected to a pull P. If Young's modulus of elasticity of the bar material is E, the expression for strain energy stored in the bar will be
  A)
  \[\frac{{{P}^{2}}L}{2AE}\]                 done clear
  B)
  \[\frac{P{{L}^{2}}}{2EI}\] done clear
  C)
  \[\frac{P{{L}^{2}}}{AE}\]                               done clear
  D)
  \[\frac{{{P}^{2}}L}{AE}\] done clear
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• question_answer113)
  If a thick cylindrical shell is subjected to internal pressure, then hoop stress, radial stress and longitudinal stress at a point in the thickness will be
  A)
  Tensile, compressive and tensile respectively done clear
  B)
  All compressive                        done clear
  C)
  All tensile                                    done clear
  D)
  Tensile, compressive and compressive respectively. done clear
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• question_answer114)
  A thin cylinder with both ends closed is subjected internal pressure p. The longitudinal stress at surface has been calculated as \[{{\sigma }_{0}}.\] Maximum shear stress at the surface will be equal to        
  A)
  \[2{{\sigma }_{0}}\]                              done clear
  B)
  \[1,5{{\sigma }_{0}}\]       done clear
  C)
  \[{{\sigma }_{0}}\]                                done clear
  D)
  \[0.5{{\sigma }_{0}}\] done clear
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• question_answer115)
  The maximum shear occurs on the outermost of a circular shaft under torsion. In a close helical spring, the maximum shear stress occurs the                                      
  A)
  Outermost fibres                       done clear
  B)
  Fibres at mean diameter                  done clear
  C)
  Innermost fibres                        done clear
  D)
  End coils   done clear
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• question_answer116)
                              A circular solid shaft is subjected to a bending of 400 kN.m and a twisting moment of 300 kN.m. On the basis of the maximum principal stress theory the direct stress is o- and according to the maximum shear stress theory, the shear stress is t The ratio \[\sigma /t\] is
  A)
  \[\frac{1}{5}\]                           done clear
  B)
  \[\frac{3}{4}\] done clear
  C)
  \[\frac{9}{5}\]                           done clear
  D)
  \[\frac{11}{6}\] done clear
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• question_answer117)
  According to the maximum shear stress theory failure, permissible twisting moment in a circular shaft is T. The permissible twisting moment in the same shaft as per the maximum principal stress 6 theory of failure will be                       
  A)
  T/2                               done clear
  B)
  T           done clear
  C)
  \[\sqrt{2T}\]                   done clear
  D)
  2T         done clear
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• question_answer118)
    The state of plane stress at a point is described by \[{{\sigma }_{x}}={{\sigma }_{y}}\] and \[{{\tau }_{xy}}=0.\] The normal stress on the plane inclined at \[45{}^\circ \] to the x-plane will be       
  A)
  \[\sigma \]                                  done clear
  B)
  \[\sqrt{2\sigma }\] done clear
  C)
  \[\sqrt{3\sigma }\]                       done clear
  D)
  \[2\sigma \]   done clear
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• question_answer119)
  Consider the following statements:        

  State of stress in two dimensions at a point in a component can be completely specified by indicating the normal and shear stresses on

  1. A plane containing the point

  2. Any two planes passing through the point

  3. Two mutually perpendicular planes passing through the point

  Of these statements                       
  A)
  1 and 3 are correct          done clear
  B)
  2 alone is correct done clear
  C)
  1 alone is correct done clear
  D)
  3 alone is correct done clear
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• question_answer120)
  For a composite consisting of a bar enclosed inside: a tube of another material when compressed under a load 'W' as a whole through rigid collars at the end of the bar. The equation of compatibility is given by (suffixes 1 and 2) refer to bar and tube respectively
  A)
  \[{{W}_{1}}+{{W}_{2}}=W\]  done clear
  B)
  \[{{W}_{1}}+{{W}_{2}}=\text{constant}\] done clear
  C)
  \[\frac{{{W}_{1}}}{{{A}_{1}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{2}}}\] done clear
  D)
  \[\frac{{{W}_{2}}}{{{A}_{2}}{{E}_{1}}}=\frac{{{W}_{2}}}{{{A}_{1}}{{E}_{2}}}\] done clear
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