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Theory of Structures

Theory of Structures
For beams of uniform strength, if depth is constant,

Width b 1/M
Width b M
Width b M 2
Width b 3 M

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 3K (1 – 2/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 2N (1 + 1/m)

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Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

1.34
1.5
2.5
2.34

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Theory of Structures
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

4W²D3n/d4N
4W²D3n²/d4N
4WD²n/d4N
4W²Dn/d4N

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

2.125 cm³
1.125 cm³
3.125 cm³
4.125 cm²

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 4h/l² × (1 – x)
y = h/l² × (1 – x )
y = 3h/l² × (1 – x)
y = 2h/l² × (1 – x)

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