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Theory of Structures

Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

4/7
1/7
3/7
2/7

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Theory of Structures
The assumption in the theory of bending of beams is:

All of these
Material is homogeneous
Material is isotropic
Young’s modulus is same in tension as well as in compression

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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

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

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

100/EIc
200/EIc
150/EIc
50/EIc

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/8
WI²/4
WI²/12
WI/2

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/18) A
(1/6) A
(1/3) A
(1/12) A

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