Theory of Structures

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

1. 2L
2. L
3. L/2
4. L/√2

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52. The equivalent length is of a column of length 'L' having both the ends fixed, is

1. 2L
2. L
3. L/2
4. L/√2

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

1. 2L
2. L
3. L/2
4. L/√2

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

1. 2L
2. L
3. L/2
4. L/√2

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

1. 2w/σb l at the fixed end
2. √(3w/σb x l) at the fixed end
3. √(2w/σb x l) at the fixed end
4. 3w/σd x l at the fixed end

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56. For determining the support reactions at A and B of a three hinged arch, points B and Care 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

1. 30°
2. 45°
3. 60°
4. 90°

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57. The force in CD of the truss shown in given figure, is

1. 3t compression
2. 3t tension
3. Zero
4. 1.5t compression

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58. 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:

1. 4.0 mm
2. 4.5 mm
3. 5.0 mm
4. 5.5 mm

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59. 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

1. 411 N mm
2. 511 N mm
3. 611 N mm
4. 711 N mm

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60. The normal and tangential components of stress on an inclinced plane through θ° to the direction of the force, will be quual if θ is

1. 45°
2. 30°
3. 60°
4. 90°

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