### Civil Engineering - Theory of Structures MCQs Part 4

1. In case of principal axes of a section

A.

sum of moment of inertia is zero

sum of moment of inertia is zero

B.

difference of moment inertia is zero

difference of moment inertia is zero

C.

product of moment of inertia is zero

product of moment of inertia is zero

D.

none of these.

none of these.

**Answer Option C**

2. The forces acting normally on the cross section of a bar shown in the given figure introduce

A.

compressive stress

compressive stress

B.

tensile stress

tensile stress

C.

shear stress

shear stress

D.

none of these.

none of these.

**Answer Option B**

3. The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

A.

B.

C.

D.

**Answer Option D**

4. If the normal stresses due to longitudinal and transverse loads on a bar are σ1 and σ2 respectively, the tangential component of the stress on an inclined plane through θ°, the longitudinal load is

A.

σ1 sin θ + σ2 cos θ

σ1 sin θ + σ2 cos θ

B.

σ1 sin θ2 + σ2 cos2 θ

σ1 sin θ2 + σ2 cos2 θ

C.

D.

**Answer Option C**

5. The ratio of the section modulus of a square section of side B and that of a circular section of diameter D, is

A.

B.

C.

D.

**Answer Option B**

6. The force in BC of the truss shown in the given figure, is

A. 3.0t compression

B. 3.0t tension

C. t tension

D. t compression

E. None of these.

**Answer Option C**

7. The equivalent length of a column of length L, having one end fixed and other end hinged, is

A. 2L

B. L

C.

D.

**Answer Option D**

8. At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

A. depth of the section

B. depth of the neutral axis

C. maximum tensile stress at the section

D. maximum compressive stress at the section

E. none of these.

**Answer Option B**

9. For calculating the permissible stress is the emprical formula, known as

A. Straight line formula

B. Parabolic formula

C. Perry's formula

D. Rankine's formula.

**Answer Option D**

10. The maximum height of a masonry dam of a triangular section whose base width is b and specific gravity s, is

A. bs

B. b.s

C. bs

D. s b

E.

**Answer Option A**

11. The load on a spring per unit deflection, is called

A. stiffness

B. proof resilience

C. proof stress

D. proof load.

**Answer Option A**

12. In a shaft, the shear stress is not directly proportional to

A. radius of the shaft

B. angle of twist

C. length of the shaft

D. modulus of rigidity.

**Answer Option C**

13. Ab and Ac are the cross sections of bronze and copper bars of equal length, σb, σc are their respective stresses due to load P. If Pb and Pc are the loads shared by them, (where Eb and Ec are their modulii).

A.

B. P = Pb + Pc

C. P = Ab σb + Ac σb

D. all the above

**Answer Option D**

14. 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 Option B**

15. The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

A. circle

B. parabola

C. ellipse

D. straight line.

**Answer Option C**

16. The degree of indeterminacy of the frame in the given figure, is

A. zero

B. 1

C. 2

D. 3

**Answer Option B**

17. The equivalent length of a column of length L having one end fixed and the other end free, is

A. 2L

B. L

C.

D.

**Answer Option A**

18. To determine the force in BD of the truss shown in the given figure a section is passed through BD, CD and CE, and the moments are taken about

A. A joint

B. B joint

C. C joint

D. D joint.

**Answer Option C**

19. 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.

B.

C.

D.

**Answer Option B**

20. The radius of gyration of a rectangular section (depth D, width B) from a centroidal axis parallel to the width is

A.

B.

C.

D.

**Answer Option C**

21. 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. 0.606

E. 0.707

**Answer Option E**

22. The moment of inertia of a circular section about any diameter D, is

A.

B.

C.

D.

**Answer Option D**

23. The ratio of maximum and average shear stresses on a rectangular section, is

A. 1

B. 1.25

C. 1.5

D. 2.0

E. 2.5

**Answer Option C**

24. The locus of the moment of inertia about inclined axes to the principal axis, is

A. straight line

B. parabola

C. circle

D. ellipse.

**Answer Option D**

25. A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

A.

B.

C.

D.

**Answer Option A**

26. A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

A.

B.

C.

D.

**Answer Option C**

27. A simply supported beam A carries a point load at its midspan. An other 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.

B.

C.

D.

**Answer Option D**

28. 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.

B.

C.

D.

**Answer Option D**

29. The strain energy due to volumetric strain

A. is directly proportional to the volume

B. is directly proportional to the square of exerted pressure

C. is inversely proportional to Bulk modulus

D. all the above.

**Answer Option D**

30. If the strain energy stored per unit volume in a hollow shaft subjected to a pure torque when t attains maximum shear stress fs the ratio of inner diameter to outer diameter, is

A.

B.

C.

D.

**Answer Option C**

31. m1 and m2 are the members of two individual simple trusses of a compound truss. The compound truss will be rigid and determinate if

A. m = m1 + m2

B. m = m1 + m2 + 1

C. m = m1 + m2 + 2

D. m = m1 + m2 + 3

**Answer Option D**

32. In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

A.

B.

C.

D.

E. none of these.

**Answer Option D**

6. The force in BC of the truss shown in the given figure, is

A. 3.0t compression

B. 3.0t tension

C. t tension

D. t compression

E. None of these.

**Answer Option C**

7. The equivalent length of a column of length L, having one end fixed and other end hinged, is

A. 2L

B. L

C.

D.

**Answer Option D**

8. At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

A. depth of the section

B. depth of the neutral axis

C. maximum tensile stress at the section

D. maximum compressive stress at the section

E. none of these.

**Answer Option B**

9. For calculating the permissible stress is the emprical formula, known as

A. Straight line formula

B. Parabolic formula

C. Perry's formula

D. Rankine's formula.

**Answer Option D**

10. The maximum height of a masonry dam of a triangular section whose base width is b and specific gravity s, is

A. bs

B. b.s

C. bs

D. s b

E.

**Answer Option A**

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