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Theory of Structures

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

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

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Theory of Structures
The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called

Stiffness
Proof load
Proof stress
Proof resilience

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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

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

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

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

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

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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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