# Strength of materials mcq questions and answers pdf

## Strength of materials mcq questions and answers

60 most important Strength of materials (SOM) mcq questions and answers for online exams conducted by various universities like pune university (Sppu), MU, Anna university and lot of other colleges. These SOM mcqs are also helpful for interviews. We have added correct answers for each and every question below.

Q. 1. Slenderness ratio is the ratio of effective length of column and ________
A : lateral dimension of a column
B : least radius of gyration of a column
C : maximum radius of gyration of a column
D : none of the option

least radius of gyration of a column

Q. 2. A continuous beam is one which has
A : less than two supports
B : two supports only
C : more than two supports
D : none of the above

more than two supports

Q. 3. The product of the tangential force acting on the shaft and its distance from the axis of
the shaft is known as

A : bending moment
B : twisting moment
C : torsional rigidity
D : flexural rigidity

twisting moment

Q. 4. Macaulay’s method is more convenient for beams carrying
C : UDL
D : none of the option

Q. 5. Which theory give satisfactory results for brittle materials
A : maximum shear stress theory
B : maximum principal strain theory
C : maximum principal strss theory
D : distortion energy theory

Q. 6. Factor of safety for ductile material is
A : yield stress by working stress
B : ultimate stress by working stress
C : working stress by yield stress
D : working stress by ultimate stress

yield stress by working stress

Q. 7. Maximum distortion energy theory is also known as….
A : Von Mises theory
B : shear strain energy theory
C : maximum strain energy theory
D : both option 1 and 2

both option 1 and 2

Q. 8. Mathematically, strain energy is equal to ____
A : Power
B : Energy
C : Young’s modulus
D : Workdone

Workdone

Q. 9. If a material expands freely due to heating it will develop
A : thermal stresses
B : tensile stress
C : bending
D : no stress

no stress

Q. 10. The actual breaking stress in stress-strain diagram is the ratio of ______
A : load at breaking point and original cross-sectional area
B : load at breaking point and reduced cross-sectional area
C : maximum load and original cross-sectional area
D : yield load and original cross-sectional area

load at breaking point and reduced cross-sectional area

Q. 11. Maximum shear stress theory is very commonly used for
A : brittle material
B : ductile material
C : both ductile as well as britlw materials
D : none of the option

ductile material

Q. 12. Principal plane is a plane on which the shear stress is
A : zero
B : minimum
C : maximum
D : none of the option

zero

Q. 13. The normal stress on an oblique plane will be maximum, when θ is equal to..
A : 0°
B : 30°
C : 45°
D : 90°

Q. 14. Which of the following are the statically determinate beams?
A : Cantilevers
B : Simply supported beams
C : Overhaging beams
D : All of the option

All of the option

Q. 15. For a shaft, the shear stress at a point is ——–the distance from the axis of the shaft.
A : equal to
B : directly proportional to
C : inversely proportional to
D : none of the option

directly proportional to

Q. 16. Which of the following is a material property
A : Strain energy
B : Resilience
C : Proof Resilience
D : Modulus of Resiliene

Modulus of Resiliene

Q. 17. In symmetrical cross section beams, the maximum shear stress occurs at ________
A : Neutral axis
B : Top extreme fibre
C : Bottom Extreme fibre
D : All of the option

Neutral axis

Q. 18. Hooke’s law holds good up to
A : yield point
B : limit of proportionality
C : breaking point
D : elastic limit

limit of proportionality

Q. 19. In a cantilever with unifomly distributed load the shearing force varies following a
A : linear law
B : parabolic law
C : either of the above
D : none of the option

linear law

Q. 20. The product of modulus of rigidity and polar moment of inertia is called as ________
A : torsional stiffness
B : torsional flexibility
C : polar section modulus
D : torsional rigidity

torsional rigidity

## Strength of materials mcq for mechanical engineering

Q. 21. The slope at free end for cantilever beam subjected to UDL is ________
A : Maximum
B : Minimum
C : Zero
D : none of the option

Maximum

Q. 22. Point at which Shear Force is zero, the corresponding Bending Moment at that point
will

A : Zero
B : Minimum
C : Maximum
D : none of the option

Maximum

Q. 23. Bending stress equation can be used within ______ limit
A : Plastic
B : Elastic
C : Yield point
D : All of the option

Elastic

Q. 24. Shearing stress in a beam is maximum at ____
A : At Neutral axis
B : In between
C : Outer fibre
D : All of the option

At Neutral axis

Q. 25. Maximum shear stress theory is also called as _______
A : Coulomb Theory
B : Rankine’s Theory
C : St. Venant’s Theory
D : Von Mises Theory

Coulomb Theory

Q. 26. When a body is subjected to a direct tensile stress in one plane, then tangential stress on
an oblique section of the body inclined at an angle θ to the normal of the section is

A : σcosθ
B : σcos2θ
C : σsinθ/2
D : (σ/2)sin2θ

(σ/2)sin2θ

Q. 27. The ratio of shear stress by shear strain is called as
A : modulus of elasticity
B : modulus of rigidity
C : bulk modulus
D : poisson’s ratio

modulus of rigidity

Q. 28. Rankine-Gordon’s empirical formula is applicable for ________
A : long column
B : short column
C : both a. and b.
D : none of the option

both a. and b.

Q. 29. The slope at fixed end for cantilever beam subjected to concentrated load at free end is
______

A : Maximum
B : Minimum
C : Zero
D : none of the option

Zero

Q. 30. The point of contraflexure is also called as
A : the point of inflexion
B : a virtual hinge
C : either of the above
D : none of the option

either of the above

Q. 31. The relation between modulus of elasticity (E), modulus of rigidity (G) and bulk
modulus (K) is given as ________

A : K+G / (3K+ G)
B : 3 KG / (3K+ G)
C : 3 KG / (9K+ G)
D : 9 KG / (3K+ G)

9 KG / (3K+ G)

Q. 32. While determining crippling load, the effective length of solid circular bar is 1/ √2 of
actual length if, _______

A : both ends of solid circular bar are fixed
B : both ends of solid circular bar are hinged
C : one end is fixed and one is free
D : one end is fixed and other end is hinged

one end is fixed and other end is hinged

Q. 33. Maximum deflection for acantilever beam subjected to concencentrated load at free end
A : WL3/48EI
B : WL3/2EI
C : WL3/3EI
D : WL3/8EI

WL3/3EI

Q. 34. If two shafts are connected in parallel to each other, total torque t is applied on the
composite shaft will be

A : torque in shaft 1=torque in shaft 2
B : torque in shaft 1/torque in shaft 2
C : torque in shaft 1 + torque in shaft 2
D : torque in shaft 1-torque in shaft 2

torque in shaft 1 + torque in shaft 2

Q. 35. The maximum shear stress is equal to …..of the Mohr’s circle.
B : diameter
C : circumference
D : area

Q. 36. When a body is subjected to a direct tensile stress in one plane, the maximum shear
stressis _______ the maximum normal stress.

A : equal to
B : one-half
C : two-third
D : twice

one-half

Q. 37. For a rectangular cross section beam, tensile and compressive are
A : Different
B : Same
C : No relation
D : All of the option

Same

Q. 38. torsional flexibility is ratio of —
A : L / GJ
B : GJ / L
C : G / LJ
D : GJ / R

L / GJ

Q. 39. Maximum deflection for acantilever beam subjected to UDL is
A : WL4/48EI
B : WL3/2EI
C : WL3/3EI
D : WL3/8EI

WL4/48EI

Q. 40. The S.F.D. for a 4 m long beam is a parabola with +20 kN m value at both its ends and
zero at the centre. If there are no couple moments acting on the beam, the B.M.D. will be
___________.

A : straight line with increasing slope
B : straight line with decreasing slope
C : third degree curve
D : second degree curve

third degree curve

## SOM mcq questions pdf

Q. 41. A 5 m long beam ABC is simply supported at its ends. The portion AB of length 4 m
carries a u.d.l of 10 kN/m and there is no load for the remaining 1 m portion BC. The shear force
diagram is ___________ from A to B.

A : horizontal line
B : inclined line with positive slope
C : inclined line with negative slope
D : parabola

inclined line with positive slope

Q. 42. Mohr’s circle is used to determine the stresses on an oblique section of a body subjected
to

A : direct tensile stress in one plane accompained by a shear stress
B : direct tensile stress in two mutually perpendicular directions
C : direct tensile stress in two mutually perpendicular directions accompained by a simple shear stress
D : All of the option

All of the option

Q. 43. A solid steel shaft twisted by angle of 4°, how much it is in radian.

A : 0698
B : 0.1245
C : 0.1113
D : 0898

0698

Q. 44. A body is subjected to a direct tensile stress in one plane. The shear stress is maximum
at a section inclined at _______ To the normal of the section.

A : 45° and 90°
B : 45° and 135°
C : 60° and 150°
D : 30° and 135°

45° and 135°

Q. 45. A cantilever beam AB of length L with fixed support at A carries a clockwise couple
moment M at its centre C. The shear force is zero from ___________.

A : A to C
B : C to B
C : A to B
D : none of the option

A to B

Q. 46. Greater portion of shear force in a beam of I sectionis shared by _____
A : Lower flange
B : Upper flange
C : Web
D : none of the option

Web

Q. 47. The value of Poisson’s ratio for steel is between
A : 0.01 to 0.1
B : 0.23 to 0.27
C : 0.25 to 0.33
D : 0.4 to 0.6

0.25 to 0.33

Q. 48. If torque induced in solid circular shaft is 14324 N-m and speed is 200 rpm, how much
power transmitted by the shaft.

A : 100 kW
B : 200 kW
C : 300 kW
D : 400 kW

300 kW

Q. 49. A I-section is subjected to transverse shear force. At which layer maximum shear stress
is developed?

A : At Neutral axis
B : Top edge
C : Bottom edge
D : none of the option

At Neutral axis

Q. 50. The angle made by the resultant stress with the normal stress is called as ….
A : angle of repose
B : angle of twist
C : friction angle
D : angle of obliquity

angle of obliquity

Q. 51. What is the safe load acting on a long column of 2 m having diameter of 40 mm. The
column is fixed at both the ends and modulus of elasticity is 2 x 105 N/mm2? (F.O.S = 2)

A : 120 kN
B : 124 kN
C : 130 kN
D : 150 kN

124 kN

Q. 52. A steel bar 100 mm long is subjected to a tensile stress .If the change in length of the bar
is (1/20) mm, what will be the value of stress. E = 2 x 10⁵ N/mm²

A : 20 Mpa
B : 100 Mpa
C : 60 Mpa
D : 70 Mpa

100 Mpa

Q. 53. A body is subjected to tensile stress of 1200MPa on one plane and another tensile stress
of 600 Mpa on a plane at right angles to the former. It is also subjected to a shear of 400 Mpa on
the same planes. The minimum normal stress will be _______

A : 400 MPa
B : 500 MPa
C : 900 MPa
D : 1400 MPa

400 MPa

Q. 54. What is the average shear stress acting on a rectangular beam, if 50 Mpa is maximum
shear stress

A : 31.5 MPa
B : 33.33 Mpa
C : 37.5 Mpa
D : 42.5 Mpa

33.33 Mpa

Q. 55. What is the bulk modulus of a material, if a cube of 100 mm changes its volume to 4000
mm3 when subjected to compressive force of 2.5 x 106 N?

A : 62.5 Gpa
B : 65 Gpa
C : 67.5 Gpa
D : 70 Gpa

62.5 Gpa

Q. 56. A solid circular shaft is transmitted 300kW power at 100 rpm. How much torque
generated in the shaft in kN.m?

A : 28.65
B : 122.18
C : 38
D : 101.22

28.65

Q. 57. A beam of square section of side 4mm is subjected to shear force of 3000 N. What is
maximum shear stress induced in it?

A : 250.14MPa
B : 281.25MPa
C : 400.32MPa
D : 500MPa

281.25MPa

Q. 58. If polar modulus for solid circular shaft is 2388.98 mm3, then diameter of shaft in mm is
_______

A : 20
B : 21
C : 22
D : 23

23

Q. 59. If a beam AB of 6 m span having UDL of 4.5 kN/m over entire span, what will be the
value of shear force in KN just right of A?

A : 4.5
B : 13.5
C : 23.5
D : 7.5

13.5

Q. 60. A body is subjected to a direct tensile stress of 300 Mpa in one plane accompained by a
simple shear stress of 200 Mpa. The maximum shear stress will be..

A : -100 Mpa
B : 252 Mpa
C : 300 MPa
D : 400 MPa

252 Mpa

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