Strength of Materials

251. The ratio of the maximum deflections of a beam simply supported at its ends with an isolated central load and that of with a uniformly distributed load over its entire length, is

1. 43499
2. 15/24
3. 24/15
4. 43526

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252. The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is

1. Less than one
2. Equal to one
3. More than one
4. Equal

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253. The ratio of the moments of resistance of a solid circular shaft of diameter D and a hollow shaft (external diameter D and internal diameter d), is

1. D⁴/(D⁴ - d⁴)
2. D³/(D³ - d³)
3. (D⁴ - d⁴)/D⁴
4. (D³ - d³)/D³

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254. The ratio of the tensile stress developed in the wall of a boiler in the circumferential direction to the tensile stress in the axial direction, is

1. 4
2. 3
3. 2
4. 1

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255. The reaction at the supports will be vertical to the plane of the support if the frame structure rests on

1. Roller supports
2. Free supports
3. Hinged supports
4. All the above

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256. The region of the cross-section of a column in which compressive load may be applied without producing any tensile stress, is known as the core of the cross-section. In circular columns the radius of the core, is

1. One-half of the radius
2. One-third of the radius
3. One-quarter of the radius
4. One-fifth of the radius

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257. The resolved part of the resultant of two forces inclined at an angle ω in a given direction is equal to

1. The algebraic sum of the resolved parts of the forces in the given direction
2. The sum of the resolved parts of the forces in the given direction
3. The difference of the forces multiplied by the cosine of ω
4. The sum of the forces multiplied by the sine of ω

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258. The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be

1. 20 kg, -ve sense
2. 20 kg, +ve sense
3. 10 kg, +ve sense
4. 10 kg, -ve sense

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259. The rise of a parabolic arch at quarter points, is equal to

1. 1/3 times the rise of the crown
2. 1/4 times the rise of the crown
3. 1/2 times the rise of the crown
4. 3/4 times the rise of the crown

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260. The section modulus of a rectangular light beam 25 metres long is 12.500 cm³. The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of 4 tonnes at the centre. The maximum stress in the bottom most fibre at the mid span section, is

1. 13.33 kg/cm² tensile
2. 13.33 kg/cm² compressive
3. 26.67 kg/cm² tensile
4. 26.67 kg/cm² compressive

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