Future Secure Institute™

Name: SOM MM:[50],Time:[1] hour’s Total Ques. [ 50 ]

Q1. Factor of safety is the ratio of:-a) breaking stress to working stress b) endurance limit to yield stressc) elastic limit to ultimate stress d) ultimate stress to working stress

Q2. Poisson ratio is the ratio of:-a) lateral stress to longitudinal stress b)lateral strain to longitudinal stressc) lateral strain to longitudinal strain d) shear stress to shear strain

Q3.select the proper sequence :-1) proportion limit 2) elastic limit 3) yield point 4) fracture pointa) 1-2-3-4 b)2-1-3-4 c) 1-2-4-3 d)2-1-4-3

Q4.Hook’s law hold good up to:-a) yield point b) limit of proportion c) breaking point d) elastic limit

Q5. Young’s modulus (y) can also be written as:-

a) y=force×areastrain

b) y=force×strain

area c) y=

forcestrain×area

d)y=force x area x strain

Q6 . A 100 kg lamp is supported by a single electrical copper cable of dia 4 mm. what is the stress carried by the cable:-a) 39mPa b) 78mPa c) 1173mPa d) 12308mPa

Q7.toughness indicate of a material :-a)impact strength b) fatigue strength c) tensile strength d) shear strength

Q8.the value of E&G are 200GPa & 80GPa . then μ=- :-a).5 b)1 c) 1.25 d) .25

Q9.the above stress strain diag is for:-

a) ductile material b) brittle material c) soft material d) none

Q10.the value of ‘μ’ for any material can’t exceed :-a) 2 b)1.414 c) 1 d) .5

Q11.which material has the highest value of ‘μ’:-

a) rubber b) copper c) steel d) concrete

Q12.for a material with Poisson ratio.25, the ratio of modulus of rigidity to modulus of elasticity will be:-a) .4 b)1.2 c)2 d) 3.6

Q13.the steel bar is elongated by the application of axial compressive load of 200 kn. Determine the elongation if the cross-section of bar is 40mm x40mm length of bar is 2m and E=200GPa:-a) 1.25 mm b) 2.70mm c) 4.05 mm d)5.40mm

Q14.proof stress:-a) it’s the safest stress b) is that which will cause a specified permanent deformation in a material usuallyc) it used in connecting with material usuallyd) none

Q15.at the principle plane:-a)the normal stress is max or min, shear stress is ‘o’b) the tensile and compressive stress are ‘o’c) the tensile stress is ‘o’ and shear stress is max d) None

Q16. The ratio of modulus of rigidity to modules of elasticity of a material for a Poisson’s ratio of.25 would be:-a) .5 b) .4 c) .3 d).1

Q17. The capacity absorb energy when deformed elastically and then to have this energy recovered upon unloading is called:-a) endurance b) resilience c) toughness d) ductility Q18. A circular steel rod of 20cm² cross-sectional area and 10m length is heated through 50° c with ends clamped before heating . given, E=200 GPa and coefficient of thermal expansion,α =10 x 10¯⁶/°C, the thrust there by generated on the clamp is:-a) 100kN b)150kN c)200kN d)250kN

Q19. The modulus of rigidity of an elastic material is found to be 38.5% of the value of its young’s modulus. The Poisson’s ratio

μ of the material is nearly:-a)0.28 b)0.30 c)0.33 d)0.35

Q20. A beam of rectangular section (12 cm wide x 20 cm deep) is simply supported over a span of 12 m. it is acted upon by a concentrated load of 80 kN at the mid span. The maximum bending stress induced is:-a)400MPa b)300MPa c)200MPa d)100MPaQ21.A thin cylindrical pressure vessel and a thin spherical pressure vessel have the same mean radius, same wall thickness and are subjected to same internal pressure . the hoop stresses set up in these vessels(cylinder in relation to sphere) will be in the ratio:-a)1:2 b)1:1 c)2:1 d)4:1

Q22.A 10 mm diameter bar of mild steel of elastic modulus 200 x 10⁹ Pa is subjected to a tensile load of 50000 N, taking it just beyond its yield point. The elastic recovery of strain that would occur upon removal of tensile load will be:-a)1.38 x 10¯³ b)2.68 x 10¯³ c)3.18 x 10¯³ d)4.62 x 10¯³

Q23.which one of the following statements is correct?

a) the strain produced per unit volume is called resilienceb) the maximum strain produced per unit volume is called proof resilience.c)the least strain energy stored in a unit volume is called proof resilience d) the greatest strain energy stored in a unit volume of a material without permanent deformation is called proof resilience

Q24. The total extension of the bar loaded as shown in the figure is A = area of cross-section E= modulus of elasticity

a)10 x 30/AE b)26X10/AE c)9 x 30/AE d)30 x 22/AE

Q25. The deformation of a bar under its own weight as compared to that when subjected to a direct axial load equal to its own weight will be:-a) the same b) one fourth c) half d)double

Q26. A slender bar of 100 mm² cross-section is subjected to loading shown in the figure below, if the modulus of elasticity is taken as 200 x 10⁹ Pa, then the elongation produced in the bar will be:-

a)10 mm b)5 mm c)1 mm d)nil

Q27.a straight bar is fixed at edges A and B its elastic modulus is E and cross-section is A there is a load P=120 N acting at C. the reactions at the ends are:-

a)60 N at A,60 N at B b)30N at A,90 N at B c)40 N at A,80 N at B d)80 N at A, 40 N at B

Q28. Two tapering bare of the same material are subjected to a tensile load P, the lengths of both the bars are the same. The larger diameter of each of the bars is D. the diameter of the bar B is D/3 what is the ratio of elongation of the bar A to that of the bar B?a)3:2 b)2:3 c)4:9 d)1:3

Q29.A copper rod of 2 cm diameter is 2 cm and outer diameter 4 cm under an axial load, the stress in the tube is 100 N/mm²If Es =2 Ec then the stress in the copper rod isa) 50 N/mm² b) 33.33 N/mm² c) 100N/mm² d) 300 N/mm²

Q30.if Poisson ratio of a material is 0.5, then the elastic modulus for the material is:-a) three times its shear modulus b) four times its shear modulusc) equal to its shear modulus d) indeterminate

Q31. The number of independent elastic constants required to express the stress-strain relationship for a linearly elastic isotropic material is:-a) one b) two c) three d) four

Q32. For a given material , the modulus of rigidity is 100 GPa and Poisson’s ratio is 0.25. the value of modulus of elasticity in GPa is:-a) 125 b) 150 c)200 d) 250

Q33. The modulus of elasticity for a material is 200 GN/m² and Poisson’s ratio is 0.25. what is the modulus rigidity?a)80GN/m² b)125GN/m² c) 250 GN/m² d) 320 GN/m²

Q34. If E,G and denote young’s modulus, modulus of rigidity and bulk modulus, respectively, for an elastic material, then which one of the following can be possible true for certain value of poisson’s ratio?a)G=2K b)G=E c)K=E d) G=K=E

Q35. What is the relationship between the liner elastic properties, young’s modulus(E), rigidity modulus (G) and bulk modulus (K)?

a)1E

=9K

+ 3G

b)3E

=9K

+ 1G

c) 9E

=3K

+ 1G

d) 9E

=1K

+ 3G

Q36.A rod of length/tapers uniformly from a diameter D at one end to a diameter D/2 at the other end and is subjected to an axial load P.A second rod of length/ and of uniform diameter D is subjected to the same axial load P. both the rods are of same material with young’s modulus of elasticity E. the ratio of extension of the first rod to that of the second rod is:-a) 4 b) 3 c)2 d) 1

Q37. A beam cross-section is used in two different orientations as shown in the figure given below. bending moment applied to the beam in both cases are same, the max bending stress in case A & B are related as:-

a)σ A = σ B B)σ A = 2σ B C)σ A = σB2

D)σ A =σB2

Q38. What is the nature of distribution of shear stress in a rectangular beam?a) Linear b) Parabolic c) Hyperbolic d) Elliptic

Q39. What is the shape of the shearing stress distribution across a rectangular cross-section beam?a) Triangular b) Parabolic only c) rectangular only d)A combination of rectangular and parabolic shape

Q40. Match List-1 with List -2 and select the correct answer using the codes given below the lists: List-1 List -2 a)Point of inflection 1. Strain energyb)shearing strain 2.Equation of bending c)section modulus 3.Equation of torsion d)Modulus of resilience 4.Bending moment diagramCodes:- A B C D a) 1 3 2 4 b) 4 3 2 1 c) 1 2 3 4 d) 4 2 3 1

Q41.- A solid shaft transmits a torque T. the allowable shearing stress is τ . What is the diameter of the shaft?

a)3√16T /πτ b)3√32T / πτ c)3√16T /τ d)3√T /τ

Q42.A power transmission solid shaft of diameter d length/ and rigidity modulus G is subjected to a pure torque. The maximum allowable shear stress is τmax . the maximum strain energy/unit volume in the shaft is given by:

a)τ ²max4G

b) τ ²max2G

c)2 τ ²max3G

d)τ ²max3G

Q43.strain energy stored in a body of volume V subjected to uniform stress σ is :-

a)σE /v b)σE ² /v c)σv ²/E d)σ ² v /2E

Q44.A metal rod is rigidly fixed at its both ends. The temperature of the rod is increased by 100°C. if the coefficient of liner expansion and elastic modulus of the metal rod are 10 x 10¯⁶/°C and 200GPa respectively, then what is the stress produced in the rod?a) 100 MPa(tensile) b) 200MPa(tensile) c)200MPa (compressive) d)100MPa(compressive)

Q45. If a material expands freely due to heating, it will develop:-a) thermal stress b) tensile stress c) compressive stress d) no stress

Q46. A 100 mm x5 mm x 5 mm steel bar free to expand is heated from 15°C to . what shall be developed?a)thermal stress b) tensile stress c) compressive stress d) no stress

Q48. A steel rod, 2m long , is held between two walls and heated 20°c. young’s modulus and coefficient are 200 x 10³ MPa and 10 x 10¯⁶/C respectively. The stress induced in the rod, if walls yield by 0.2 mm,is:-a)60MPa tensile b) 80MPa tensile c)80MPa compressive d)60MPa compressive

Q49.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 d₁ at one end to a diameter d₂ at the other end, is given by:-

a)PL

4 Ed₁d ₂ b)

PLπEd ₁d₂

c)PLπ

4 Ed₁d ₂ d)

4 PLπEd₁d ₂

Q50. Maximum shear stress in a Mohr’s circle:-a) is equal to radius of Mohr’s circle b) is greater than radius of Mohr’s circlec) is less than radius of Mohr’s circle d) could be any the above