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Theory of Structures

Theory of Structures
The vertical reaction for the arch is

wa/l
wl/a
wa²/2l
wa/2l

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1.25
2.5
1
1.5

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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

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

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

2
3
1.5
1

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Theory of Structures
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Parabola
Ellipse
Circle
Straight line

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/3
1/8
1/2

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