**1. 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. each layer is independent to expand or to contract

E. all the above.

**Answer: E**

**2. 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: A**

**3. Stress may be defined as**

A. force per unit length

B. force per unit volume

C. force per unit area

D. none of these.

**Answer: C**

**4. 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

E. Von Mises’s theory.

**Answer: D**

**5. 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: A**

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

A. 1.5

B. 1.6

C. 1.7

D. 1.75

**Answer: C**

**7. In plastic analysis, the shape factor for rectangular section, is**

A. 1.4

B. 1.5

C. 1.6

D. 1.7

**Answer: B**

**8. 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: A**

**9. A rolled steel joist is simply supported at its ends and carries a uniformly distributed load which causes a maximum deflection of 10 mm and slope at the ends of 0.002 radian. The length of the joist will be,**

A. 10 m

B. 12 m

C. 14 m

D. 16 m

E. 18 m

**Answer: D**

**10. Beams composed of more than one material, rigidly connected together so as to behave as one piece, are known as**

A. Compound beams

B. Indeterminate beams

C. Determinate beams

D. Composite beams.

**Answer: D**

**11. Pick up the correct statement from the following:**

A. In a loaded beam, the moment at which the first yield occurs is called yield moment

B. In a loaded beam, the moment at which the entire section of the beam becomes fully plastic, is called plastic moment

C. In a fully plastic stage of the beam, the neutral axis divides the section in two sections of equal area

D. The ratio of plastic moment to the yield moment, is called shape factor

E. All the above.

**Answer: E**

**12. 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 : 1 1/2 : 2

B. 2 : 1 1/2 : 1

C. 1 : 1 : 2

D. none of these.

**Answer: C**

**13. If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:**

A. Q = S + F

B. Q = S – F

C. Q = F – S

D. Q = S x F

E.

**Answer: D**

**14. In plastic analysis, the shape factor for a triangular section, is**

A. 1.5

B. 1.34

C. 2.34

D. 2.5

**Answer: C**

**15. Pick up the correct statement from the following:**

A. The point of intersection of the bending axis with the cross section of the beam, is called shear centre

B. For I sections, the shear centre coincides with the centroid of the cross section of the beam

C. For channels, the shear centre does not concide its centroid

D. Bending loads should pass through the shear centre to avoid twisting

E. All the above.

**Answer: E**

**16. If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively, and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon**

A. ΣH = 0

B. ΣV = 0

C. ΣM = 0

D. all the above.

**Answer: D**

**17. For determining the support reactions at A and B of a three hinged arch, points B and C are joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is**

A. 30°

B. 45°

C. 60°

D. 90°

**Answer: D**

**18. Pick up the incorrect statement from the following : The torsional resistance of a shaft is directly proportional to**

A. modulus of rigidity

B. angle of twist

C. reciprocal of the length of the shaft

D. moment of inertia of the shaft section.

**Answer: D**

**19. By applying the static equations i.e. ΣH = 0, ΣV = 0 and ΣM = 0, to a determinate structure, we may determine**

A. supporting reactions only

B. shear forces only

C. bending moments only

D. internal forces only

E. all the above.

**Answer: E**

**20. The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called**

A. stiffness

B. proof resilience

C. proof stress

D. proof load.

**Answer: B**

**21. Pick up the correct statement from the following:**

A. For a uniformly distributed load, the shear force varies linearly

B. For a uniformly distributed load, B.M. curve is a parabola

C. For a load varying linearly, the shear force curve is a parabola

D. For a load varying linearly, the B.M. curve is a cubic parabola

E. All the above.

**Answer: E**

**22. The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is**

A. 1.0

B. 1.5

C. 2.0

D. 2.5

E. 3.0

**Answer: E**

**23. A three hinged arch is generally hinged at its supports and**

A. at one quarter span

B. at the crown

C. any where in the rib

D. none of these.

**Answer: C**

**24. The greatest load which a spring can carry without getting permanently distorted, is called**

A. stiffness

B. prof resilience

C. proof stress

D. proof load.

**Answer: D**

**25. Flat spiral springs**

A. consist of uniform thin strips

B. are supported at outer end

C. are wound by applying a torque

D. are used in clock-work mechanism

E. all the above.

**Answer: E**

**26. Pick up the correct statement from the following:**

A. The bending stress in a section is zero at its neutral axis and maximum at the outer fibres

B. The shear stress is zero at the outer fibres and maximum at the neutral axis

C. The bending stress at the outer fibres, is known as principal stress

D. The planes of principal stresses are inclined at 45° to the neutral plane

E. All the above.

**Answer: E**

**27. A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is**

A. 0.207

B. 0.307

C. 0.407

D. 0.508

**Answer: A**

**28. 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: D**

**29. The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is**

A. 2.75 cm

B. 3.00 cm

C. 3.50 cm

D. 4.25 cm

E. 5.0 cm

**Answer: D**

**30. 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

E. Von Mises’s theory.

**Answer: A**

**31. Pick up the correct statement from the following:**

A. The moment of inertia is calculated about the axis about which bending takes place

B. If tensile stress is less than axial stress, the section experiences compressive stress

C. If tensile stress is equal to axial stress, the section experiences compressive stress

D. If tensile stress is more than axial stress, some portion of the section experiences a tensile stress

E. All the above.

**Answer: E**

**32. A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised**

A. steel experiences tensile force

B. brass experiences compressive force

C. composite beam gets subjected to a couple

D. composite beam bends

E. All the above.

**Answer: E**

**33. 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. Haig’s theory

E. Von Mises’s theory.

**Answer: C**

**34. Pick up the correct statement from the following:**

A. A wire wound in spiral form, is called a helical spring

B. The pitch of a close coil spring, is very small

C. The angle made by the coil with horizontal, is called the angle of helix

D. In the open coil helical spring, the angle of helix is comparatively large

E. All the above.

**Answer: E**

**35. The ratio of tangential and normal components of a stress on an inclined plane through θ° to the direction of the force, is :**

A. sin θ

B. cos θ

C. tan θ

D. cos θ

E. sec θ

**Answer: C**

**36. 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: D**

**37. Maximum strain theory for the failure of a material at the elastic limit, is known as**

A. Guest’s or Trecas’ theory

B. St. Venant’s theory

C. Rankine’s theory

D. Haig’s theory

E. Von Mises’s theory.

**Answer: B**

**38. Gradually applied static loads do not change with time their**

A. magnitude

B. direction

C. point of application

D. all the above.

**Answer: D**

**39. 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: D**

**40. Pick up the correct statement from the following:**

A. The structural member subjected to compression and whose dimensions are small as compared to its length, is called a stmt

B. The vertical compression members, are generally known as columns or stanchions

C. Deflection in lateral direction of a long column, is generally known as buckling

D. All the above.

**Answer: D**

**41. Gradually applied static loads do not change with time their**

A. magnitude

B. direction

C. point of application

D. all the above.

**Answer: D**

**42. 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: D**

**43. The normal and tangential components of stress on an inclined plane through θ° to the direction of the force, will be equal if θ is**

A. 45°

B. 30°

C. 60°

D. 90°

**Answer: A**

**44. A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm2, the bending strain energy stored in the bar, is**

A. 411 N mm

B. 511 N mm

C. 611 Nmm

D. 711 N mm

**Answer: C**

**45. 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: A**

**46. A body is said to be in equilibrium if**

A. it moves horizontally

B. it moves vertically

C. it rotates about its C.G.

D. none of these.

**Answer: D**

**47. 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: C**

**48. 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: B**