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Theory of Structures

Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

2 L
L
L/2
l

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/24EL
WL3/3EL
WL3/8EL
WL3/48EL

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Theory of Structures
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:

5.5 mm
4.5 mm
4.0 mm
5.0 mm

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

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Theory of Structures
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

150 N/mm²
120 N/mm²
80 N/mm²
100 N/mm 2

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

Straight line formula
Perry
Rankine
Parabolic formula

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