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Theory of Structures

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

L
S
L/2
2L

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)
y = 2h/l² × (1 – x)
y = h/l² × (1 – x )

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

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Theory of Structures
a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

e²l²/3d²
el/2d
ee²l/3d²
el²/3d²

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML²/2EI
ML/EI
ML/2EI
ML²/3EI

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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

1
2
1.5
3

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