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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 2m – 3
j = 3m – 2
m = 2j – 3
m = 3j – 2

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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

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

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

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

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Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

3F/2A
F/2A
F/A
2F/3A

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

2M/ T
2T/M
T/M
M/T

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Theory of Structures
If a concrete column 200 × 200 mm in cross-section is reinforced with four steel bars of 1200 mm² total cross-sectional area. Calculate the safe load for the column if permissible stress in concrete is 5 N/mm² and Es is 15 Ec

264 MN
294 MN
284 MN
274 MN

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