Theory Of Structures Civil Engineering Practice Mcq Question And Answer

1.

A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be

A.2/3

B.3/2

C.5/8

D.8/5

Answer & Solution

Answer: Option D

Solution:

Def.max (A)= PL3/48EI;

Def.max (B)= 5wL4/384EI; w=P/L,

= 5PL3/384EI.

Ratio= (PL3)/48EI * 384EI/(5PL3) = 8/5.

2.

Principal planes are subjected to

A.Normal stresses only

B.Tangential stresses only

C.Normal stresses as well as tangential stresses

D.None of these

Answer & Solution

Answer: Option A

No explanation is given for this question 

3.

Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

A.M/I = R/E = F/Y

B.I/M = R/E = F/Y

C.M/I = E/R = F/Y

D.M/I = E/R = Y/F

Answer & Solution

Answer: Option C

No explanation is given for this question 

4.

A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

A.M/T

B.T/M

C.2M/ T

D.2T/M

Answer & Solution

Answer: Option C

No explanation is given for this question 

5.

A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

A.75 N/m²

B.750 N/m²

C.7500 N/m²

D.75000 N/m²

Answer & Solution

Answer: Option C

No explanation is given for this question 

6.

The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

A.1/8

B.1/10

C.1/12

D.1/16

Answer & Solution

Answer: Option D

No explanation is given for this question

7.

The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

A.1/2

B.2/3

C.1/4

D.1/3

Answer & Solution

Answer: Option B

No explanation is given for this question 

8.

The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

A.1/8

B.1/4

C.1/2

D.1/3

Answer & Solution

Answer: Option C

No explanation is given for this question

9.

a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

A.el/2d

B.e²l/3d²

C.el²/3d²

D.e²l²/3d²

Answer & Solution

Answer: Option C

No explanation is given for this question

10.

A three hinged arch is generally hinged at its supports and

A.At one quarter span

B.At the crown

C.Anywhere in the rib

D.None of these
   


   

Answer & Solution

Answer: Option C

No explanation is given for this question

11.

Shear strain energy theory for the failure of a material at elastic limit, is due to

A.Rankine

B.Guest or Trecas

C.St. Venant

D.Von Mises

Answer & Solution

Answer: Option D

No explanation is given for this question

12.

The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

A.F/A

B.F/2A

C.3F/2A

D.2F/3A

Answer & Solution

Answer: Option C

No explanation is given for this question

13.

A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

A.200 mm

B.250 mm

C.300 mm

D.400 mm

Answer & Solution

Answer: Option D

No explanation is given for this question

14.

A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

A.2/3

B.3/2

C.8/5

D.5/8

Answer & Solution

Answer: Option C

No explanation is given for this question

15.

A compound truss may be formed by connecting two simple rigid frames, by

A.Two bars

B.Three bars

C.Three parallel bars

D.Three bars intersecting at a point

Answer & Solution

Answer: Option B

No explanation is given for this question

16.

If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

A.Horizontal thrust is wl2/8h

B.S.F. will be zero throughout

C.B.M. will be zero throughout

D.All the above

Answer & Solution

Answer: Option D

No explanation is given for this question

17.

constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and

A.2w w l at the fixed end

B.l) at the fixed end

C.w l) at the fixed end

D.3w l at the fixed end

Answer & Solution

Answer: Option B

No explanation is given for this question

18.

A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

A.ML/EI

B.ML/2EI

C.ML²/2EI

D.ML²/3EI

Answer & Solution

Answer: Option D

No explanation is given for this question

19.

A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

A.2 mm

B.3 mm

C.4 mm

D.5 mm


         

Answer & Solution

Answer: Option D

No explanation is given for this question

20.

In the truss, the force in the member AC is

A.6.25 t compressive

B.8.75 t tensile

C.t tensile

D.t compressive      

Answer & Solution

Answer: Option D

No explanation is given for this question

21.

If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15 Ec

A.264 MN

B.274 MN

C.284 MN

D.294 MN

Answer & Solution

Answer: Option C

No explanation is given for this question 

22.

Slenderness ratio of a long column, is

A.Area of cross-section divided by radius of gyration

B.Area of cross-section divided by least radius of gyration

C.Radius of gyration divided by area of cross-section

D.Length of column divided by least radius of gyration

Answer & Solution

Answer: Option D

No explanation is given for this question

23.

The ratio of the area of cross-section of a circular section to the area of its core, is

A.4

B.8

C.12

D.16

Answer & Solution

Answer: Option D

No explanation is given for this question

24.

A truss containing j joints and m members, will be a simple truss if

A.m = 2j – 3

B.j = 2m – 3

C.m = 3j – 2

D.j = 3m – 2

Answer & Solution

Answer: Option A

No explanation is given for this question

25.

For beams breadth is constant,

A.Depth d M

B.Depth d 3

C.Depth d

D.Depth d 1/M

Answer & Solution

Answer: Option B

No explanation

26.

Flat spiral springs

A.Consist of uniform thin strips

B.Are supported at outer end

C.Are wound by applying a torque

D.All the above

Answer & Solution

Answer: Option D

No explanation is given for this question 

27.

The ratio of lateral strain to axial strain of a homogeneous material, is known

A.Yield ratio

B.Hooke’s ratio

C.Poisson’s ratio

D.Plastic ratio

Answer & Solution

Answer: Option C

No explanation is given for this question

28.

A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

A.80 N/mm²

B.100 N/mm 2

C.120 N/mm²

D.150 N/mm²

Answer & Solution

Answer: Option C

No explanation is given for this question

29.

In case of principal axes of a section

A.Sum of moment of inertia is zero

B.Difference of moment inertia is zero

C.Product of moment of inertia is zero

D.None of these

Answer & Solution

Answer: Option C

No explanation is given for this question

30.

A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

A.It is subjected to pure bending

B.Its mean diameter will decrease

C.Its number of coils will increase

D.All the above

Answer & Solution

Answer: Option A

No explanation is given for this question

31.

The forces in the members of simple trusses, may be analysed by

A.Graphical method

B.Method of joints

C.Method of sections

D.All the above

Answer & Solution

Answer: Option D

No explanation is given for this question

32.

The moment of inertia of a triangular section (height h, base b) about its base, is

A.bh²/12

B.b²h/12

C.bh³/12

D.b³h/12

Answer & Solution

Answer: Option C

No explanation is given for this question

33.

Maximum shear stress theory for the failure of a material at the elastic limit, is known

A.Guest's or Trecas' theory

B.St. Venant's theory

C.Rankine's theory

D.Haig's theory

Answer & Solution

Answer: Option A

No explanation is given for this question

34.

Total strain energy theory for the failure of a material at elastic limit, is known

A.Guest’s or Trecas’ theory

B.St. Venant’s theory

C.Rankine’s theory

D.Haig’s theory

Answer & Solution

Answer: Option D

No explanation is given for this question

35.

Maximum principal stress theory for the failure of a material at elastic point, is known

A.Guest's or Trecas' theory

B.St. Venant's theory

C.Rankine's theory

D.Von Mises' theory

Answer & Solution

Answer: Option C

No explanation is given for this question

    

36.

The locus of reaction of a two hinged semi-circular arch, is

A.Straight line

B.Parabola

C.Circle

D.Hyperbola

Answer & Solution

Answer: Option A

No explanation is given for this question

37.

The ratio of maximum shear stress to average shear stress of a circular beam, is

A.2/3

B.3/2

C.3/4

D.4/3

Answer & Solution

Answer: Option D

No explanation is given for this question

38.

P = 4π² EI/L² is the equation of Euler's crippling load if

A.Both the ends are fixed

B.Both the ends are hinged

C.One end is fixed and other end is free

D.One end is fixed and other end is hinged

Answer & Solution

Answer: Option A

No explanation is given for this question

39.

The shape factor of standard rolled beam section varies from

A.1.10 to 1.20

B.1.20 to 1.30

C.1.30 to 1.40

D.1.40 to 1.50

Answer & Solution

Answer: Option A

No explanation is given for this question

40.

In plastic analysis, the shape factor for a circular section, is

A.1.5

B.1.6

C.1.7

D.1.75

Answer & Solution

Answer: Option C

No explanation is given for this question  

.

41.The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

A.1/7

B.2/7

C.3/7

D.2/5

Answer & Solution

Answer: Option B

No explanation is given for this question

42.

A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

A.1 cm

B.1.5 cm

C.2 cm

D.2.5 cm

Answer & Solution

Answer: Option C

No explanation is given for this question

43.

The assumption in the theory of bending of beams is:

A.Material is homogeneous

B.Material is isotropic

C.Young’s modulus is same in tension as well as in compression

D.All the above

Answer & Solution

Answer: Option D

No explanation is given for this question

44.

The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

A.WL3/3EL

B.WL3/8EL

C.WL3/24EL

D.WL3/48EL

Answer & Solution

Answer: Option D

No explanation is given for this question

45.

The horizontal thrust on the ends of a two hinged semicircular arch of radius ‘R’ carrying

A.A uniformly distributed load ? per unit run over its right half span, is ? ?R/?

B.A uniformly distributed load ? per unit run over its entire span is 4/3 ?R/?

C.A distributed load varying from zero at the left end to ? per unit horizontal run at the right end, is ? ?R/?

D.All the above

Answer & Solution

Answer: Option B

No explanation is given for this question 

46.

For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

A.0.303

B.0.404

C.0.505

D.0.707

Answer & Solution

Answer: Option D

No explanation is given for this question

47.

H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

A.H = 0

B.V = 0

C.M = 0

D.All the above

Answer & Solution

Answer: Option D

No explanation is given for this question48.

The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

A.1

B.2

C.3

D.4

Answer & Solution

Answer: Option D

No explanation is given for this question

49.

The equivalent length of a column of length L, having both the ends hinged, is

A.2L

B.L

C.L/2

D.L/√2

Answer & Solution

Answer: Option B

No explanation is given for this question

50.

There are two hinged semicircular arches A, B and C of radii 5 m, 7.5 m and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of

A.1 : 1½ : 2

B.2 : 1½ : 1

C.1 : 1 : 2

D.None of these

Answer & Solution

Answer: Option C

No explanation is given for this question