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Theory of Structures

Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

2L
L
L
L/2

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Maximum compressive stress at the section
Depth of the section
Depth of the neutral axis
Maximum tensile stress at the section

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

45°
90°
30°
60°

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Theory of Structures
In case of a simply supported I-section beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/4
L/2
L/3
L/5

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Theory of Structures
Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F, and elasticity stress and the depth of the neutral axis at section, then

I/M = R/E = F/Y
M/I = R/E = F/Y
M/I = E/R = Y/F
M/I = E/R = F/Y

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Theory of Structures
The yield moment of a cross section is defined as the moment that will just produce the yield stress in

The neutral fibre of the section
The inner most fibre of the section
The outer most fibre of the section
The fibre everywhere

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