Following are some of the multiple choice questions on the **Theory of Structures** with answers that will help the students in developing their knowledge.

## Theory of Structures MCQ

### 1. The deformation per unit length is called

### 2. What is the unit for stress?

### 3. The ratio of stress and strain is known as

### 4. The ability of the material to deform without breaking is called

### 5. The limit beyond which the material does not behave elastically is known as

### 6. When tensile stress is applied axially on a circular rod its

### 9. The shape factor of standard rolled beam section varies from

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

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

### 13. A type of slab that are either one-way or two-way system

### 14. A column is considered to be a ___________ when the ratio of its effective length to its least lateral dimension does not exceed 12

### 15. If the ratio of the effective length to its least lateral dimension exceeds 12, it is a ____________.

### 16. The free-body diagram of any joint is a concurrent force system in which the summation of moment will be of no help.

### 17. In this method, we cut the truss into two sections by passing a cutting plane through the members whose internal forces we wish to determine.

### 18. 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

### 19. 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

### 20. 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

### 21. 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

### 22. 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

### 23. 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

### 24. 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

### 25. 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

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

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

### 28. 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

### 29. 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

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

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

### 32. 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

### 33. 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

### 34. 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

### 35. In the truss, the force in the member AC is

### 36. 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

### 37. Slenderness ratio of a long column, is

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

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

### 40. For beams breadth is constant,

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

### 42. 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

### 43. 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

### 44. A compound bar consists of two bars of equal length. Steel bar cross -section is 3500 mm²and that of brass bar is 3000 mm². These are subjected to a compressive load 100,000 N. If Eb = 0.2 MN/mm² and Eb = 0.1 MN/mm², the stresses developed are:

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

### 46. For beams of uniform strength, if depth is constant,

### 47. A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

### 48. At yield point of a test piece, the material

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

### 50. For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

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