Strength of Materials MCQ Questions & Answers

Strength of Materials MCQs : This section focuses on the "Strength of Materials". These Multiple Choice Questions (MCQs) should be practiced to improve the Strength of Materials skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

A beam is said to be of uniform strength, if

A. B.M. is same throughout the beam

B. deflection is same throughout the beam

C. bending stress is same throughout the beam

D. shear stress is same throughout the beam

Question 2

A beam supported at its both ends is not a simply supported beam.

A. TRUE

B. FALSE

Question 3

For a simply supported beam of length L, the bending moment M is described as M = a (x - x3/L2), 0 ≤ x < L; where a is a constant. The shear force will be zero at

A. the supports

B. x = L/2

C. x = L/3

D. x = L/3

Question 4

When loads are applied proportionately to a frame structure containing its members in one plane, the structure is called

A. grid frame

B. plane frame

C. space frame

D. truss frame.

Question 5

When a rectangular beam is loaded transversely, the maximum compressive stress is developed on the

A. top layer

B. bottom layer

C. neutral axis

D. every cross-section

Question 6

For a simply supported beam with a central load, the bending moment is

A. least at the centre

B. least at the supports

C. maximum at the supports

D. maximum at the centre.

Question 7

The bending moment at a point on a beam is the algebraic __________ of all the moments on either side of the point.

A. sum

B. difference

Question 8

If two forces acting at a joint are not along the straight line, then for the equilibrium of the joint

A. one of the forces must be zero

B. each force must be zero

C. forces must be equal and of the same sign

D. forces must be equal in magnitude but opposite in sign.

Question 9

The shape of the bending moment diagram over the length of a beam, having no external load, is always

A. linear

B. parabolic

C. cubical

D. circular.

Question 10

If the shear force along a section of a beam is zero, the bending moment at the section is

A. zero

B. maximum

C. minimum

D. average of maximum-minimum

Question 11

Euler's formula holds good only for

A. short columns

B. long columns

C. both short and long columns

D. weak columns

Question 12

The object of caulking in a riveted joint is to make the joint

A. free from corrosion

B. stronger in tension

C. free from stresses

D. leak-proof

Question 13

A masonry dam may fail due to

A. tension in the masonry of the dam and its base

B. overturning of the dam

C. crushing of masonry at the base of the dam

D. any one of the above

Question 14

In order to prevent crushing of masonry at the base of the dam, the maximum stress should be __________ the permissible stress of the soil.

A. equal to

B. less than

C. more than

Question 15

The region of the cross-section of a column in which compressive load may be applied without producing any tensile stress, is known as the core of the cross-section. In circular columns the radius of the core, is

A. one-half of the radius

B. one-third of the radius

C. one-quarter of the radius

D. one-fifth of the radius

Question 16

The weakest section of a diamond riveting, is the section which passes through

A. first row

B. second row

C. central raw

D. one rivet hole of end row.

Question 17

When a bar is cooled to - 5°C, it will develop

A. no stress

B. shear stress

C. tensile stress

D. compressive stress

Question 18

A shaft turning 150 r.p.m. is subjected to a torque of 150 kgm. Horse power transmitted by the shaft is

A. π

B. 10 π

C. π2

D. 1/π

Question 19

A concentrated load is one which

A. acts at a point on a beam

B. spreads non-uniformly over the whole length of a beam

C. spreads uniformly over the whole length of a beam

D. varies uniformly over the whole length of a beam

Question 20

If a rectangular beam measuring 10 x 18 x 400 cm carries a unformly distributed load such that the bending stress developed is 100 kg/cm2. The intensity of the load per metre length, is

A. 240 kg

B. 250 kg

C. 260 kg

D. 270 kg

Question 21

The point of contraflexure is a point where

A. shear force changes sign

B. bending moment changes sign

C. shear force is maximum

D. bending moment is maximum

Question 22

The ratio of strengths of solid to hollow shafts, both having outside diameter D and hollow having inside diameter D/2, in torsion, is

A. 01-Apr

B. 01-Feb

C. Jan-16

D. 15/16

Question 23

When a body is subjected to two equal and opposite pushes, as a result of which the body tends to reduce its length, the stress and strain induced is compressive.

A. TRUE

B. FALSE

Question 24

Strain energy is the

A. energy stored in a body when strained within elastic limits

B. energy stored in a body when strained upto the breaking of a specimen

C. maximum strain energy which can be stored in a body

D. proof resilience per unit volume of a material

Question 25

The torque transmitted by a solid shaft of diameter (D) is (where τ = Maximum allowable shear stress)

A. x τ x D3

B. x τ x D3

C. x τ x D3

D. x τ x D3

Question 26

The deflection of any rectangular beam simply supported, is

A. directly proportional to its weight

B. inversely proportional to its width

C. inversely proportional to the cube of its depth

D. directly proportional to the cube of its length

Question 27

When shear force at a point is zero, then bending moment is __________ at that point.

A. zero

B. minimum

C. maximum

D. infinity

Question 28

The stress induced in a body, when suddenly loaded, is __________ the stress induced when the same load is applied gradually.

A. equal to

B. one-half

C. twice

D. four times

Question 29

The maximum twisting moment a shaft can resist, is the product of the permissible shear stress and

A. moment of inertia

B. polar moment of inertia

C. polar modulus

D. modulus of rigidly.

Question 30

The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is

A. less than one

B. equal to one

C. more than one

D. equal to 3π/16

Question 31

A steel bar of 5 mm is heated from 15° C to 40° C and it is free to expand. The bar Will induce

A. no stress

B. shear stress

C. tensile stress

D. compressive stress

Question 32

In a beam, the neutral plane

A. may be its centre

B. passes through the C.G. of the area of cross-section

C. does not change during deformation

D. none of these.

Question 33

The energy stored in a body when strained within elastic limit is known as

A. resilience

B. proof resilience

C. strain energy

D. impact energy

Question 34

The deformation per unit length is called

A. tensile stress

B. compressive stress

C. shear stress

D. strain

Question 35

The simply supported beam 'A' of length l carries a central point load W. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is W. The ratio of maximum deflections between beams A and B is

A. 05-Aug

B. 08-May

C. 05-Apr

D. 04-May

Question 36

If the slenderness ratio for a column is 100, then it is said to be a __________ column.

A. long

B. medium

C. short

Question 37

A body is subjected to a tensile stress of 1200 MPa 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 stress of 400 MPa on the same planes. The maximum normal stress will be

A. 400 MPa

B. 500 MPa

C. 900 MPa

D. 1400 MPa

Question 38

A simply supported beam carrying a uniformly distributed load over its whole span, is propped at the centre of the span so that the beam is held to the level of the end supports. The reaction of the prop will be

A. half the distributed load

B. 3/8th the distributed load

C. 5/8th the distributed load

D. distributed load.

Question 39

The shape of the bending moment diagram over the length of a beam, carrying a uniformly distributed load is always

A. linear

B. parabolic

C. cubical

D. circular.

Question 40

Two closely coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is half that of spring 'B' The ratio of deflections in spring 'A' to spring 'B' is

A. 01-Aug

B. 01-Apr

C. 01-Feb

D. 2

Question 41

Which of the following statement is correct?

A. The energy stored in a body, when strained within elastic limit is known as strain energy.

B. The maximum strain energy which can be stored in a body is termed as proof resilience.

C. The proof resilience per unit volume of a material is known as modulus of resilience.

D. all of the above

Question 42

Two shafts 'A' and 'B' transmit the same power. The speed of shaft 'A' is 250 r.p.m. and that of shaft 'B' is 300 r.p.m. The shaft 'B' has the greater diameter.

A. TRUE

B. FALSE

Question 43

The stress at which the extension of the material takes place more quickly as compared to the increase in load, is called

A. elastic limit

B. yield point

C. ultimate point

D. breaking point

Question 44

A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is

A. M

B. M/2

C. M/3

D. ML/2

Question 45

If the depth is kept constant for a beam of uniform strength, then its width will vary in proportional to (where M = Bending moment)

A. M

B. M

C. M2

D. M3

Question 46

When two main plates are kept in alignment butting each other and riveted with cover plate on both sides of the main plates with two rows of rivets in each main plate, the joint is known as __________ double cover butt joint.

A. single riveted

B. double riveted

Question 47

If the tearing efficiency of a riveted joint is 50%, then ratio of rivet hole diameter to the pitch of rivets is

A. 0.2

B. 0.3

C. 0.5

D. 0.6

Question 48

The slenderness ratio of a vertical column of a square cross-section of 2.5 cm sides and 300 cm length, is

A. 200

B. 240

C. 360

D. 416

Question 49

The maximum diameter of the hole that can be punched from a plate of maximum shear stress 1/4th of its maximum crushing stress of punch, is equal to (where t = Thickness of the plate)

A. t

B. 2t

C. 4t

D. 8t

Question 50

A vertical column has two moments of inertia (i.e. Ixx and Iyy ). The column will tend to buckle in the direction of the

A. axis of load

B. perpendicular to the axis of load

C. maximum moment of inertia

D. minimum moment of inertia

Question 51

If the width of a simply supported beam carrying an isolated load at its centre is doubled, the deflection of the beam at the centre is changed by

A. 01-Feb

B. 01-Aug

C. 2

D. 8

Question 52

The range within which a load can be applied on a rectangular column, to avoid any tensile stress, is

A. one-half of the base

B. one-third of the base

C. one-fourth of the base

D. one-fifth of the base

Question 53

A rectangular beam 20 cm wide is subjected to a maximum shearing force of 10, 000 kg, the corresponding maximum shearing stress being 30 kg/cm2. The depth of the beam is

A. 15 cm

B. 20 cm

C. 25 cm

D. 30 cm.

Question 54

For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2. The value of Poisson's ratio is

A. 0.15

B. 0.2

C. 0.25

D. 0.3

Question 55

The radius of gyration of a rectangular section is not proportional to

A. square root of the moment of inertia

B. square root of the inverse of the area

C. square root of the moment of inertia divided by area of the section

D. none of these.

Question 56

In a simple bending of beams, the stress in the beam varies

A. linearly

B. parabolically

C. hyperbolically

D. elliptically

Question 57

A load which is spread over a beam in such a manner that it varies uniformly over the whole length of abeam is called uniformly __________ load.

A. distributed

B. varying

Question 58

Influence lines are drawn for structures

A. of any type

B. statically determinate

C. pin-jointed truss

D. none of these.

Question 59

The strain energy stored in a solid circular shaft subjected to shear stress (τ) is (where C = Modulus of rigidity for the shaft material)

A. x Volume of shaft

B. x Volume of shaft

C. x Volume of shaft

D. x Volume of shaft

Question 60

The limit of eccentricity is based upon no tension condition.

A. TRUE

B. FALSE

Question 61

The neutral axis of the cross-section a beam is that axis at which the bending stress is

A. zero

B. minimum

C. maximum

D. infinity

Question 62

Strain rosettes are used to

A. measure shear strain

B. measure linear strain

C. measure volumetric strain

D. relieve strain

Question 63

In a loaded beam, the point of con-traflexture occurs at a section where

A. bending moment is minimum

B. bending moment is zero or changes sign

C. bending moment is maximum

D. shearing force is maximum

Question 64

In compression test, the fracture in cast iron specimen would occur along

A. the axis of load

B. an oblique plane

C. at right angles to the axis of specimen

D. would not occur

Question 65

The rectangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam 'B' will be __________ as compared to beam A.

A. same

B. double

C. four times

D. six times

Question 66

A three-hinged arch is said to be :

A. statically determinate structure

B. statically indeterminate structure

C. a bent beam

D. none of these.

Question 67

In a tension test, the yield stress is 300 kg/cm2, in the octa hedral shear stress at the point is:

A. 100 2 kg/cm2

B. 150 2 kg/cm2

C. 200 2 kg/cm

D. 250 2 kg/cm2.

Question 68

Whenever a material is loaded within elastic limit, stress is __________ strain.

A. equal to

B. directly proportional to

C. inversely proportional to

Question 69

A reinforced concrete beam is assumed to be made of

A. homogeneous material

B. heterogeneous material

C. isotropic material

D. none of these.

Question 70

In order to know whether a column is long or short, we must know its slenderness ratio.

A. TRUE

B. FALSE

Question 71

The bending stress in a beam is __________ section modulus.

A. directly proportional to

B. inversely proportional to

Question 72

Resilience is the

A. energy stored in a body when strained within elastic limits

B. energy stored in a body when strained upto the breaking of the specimen

C. maximum strain energy which can be stored in a body

D. none of the above

Question 73

The maximum stress produced in a bar of tapering section is at

A. smaller end

B. larger end

C. middle

D. anywhere

Question 74

If the rivets in adjacent rows are staggered and outermost row has only one rivet, the arrangement of the rivets, is called

A. chain riveting

B. zig-zag riveting

C. diamond riveting

D. none of these.

Question 75

The shear stress at any section of a shaft is maximum

A. at the centre of the section

B. at a distance r/2 from the centre

C. at the top of the surface

D. at a distance 3/4 r from the centre

Question 76

The minimum number of rivets for the connection of a gusset plate, is

A. 1

B. 2

C. 3

D. 4