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Theory of Structures

Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/2EI
WL²/3EI
WL3/3EI
WL²/2EI

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

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²Dn/d4N
4W²D3n/d4N
4WD²n/d4N
4W²D3n²/d4N

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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

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

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Theory of Structures
A compound truss may be formed by connecting two simple rigid frames, by

three parallel bars
Three bars
Three bars intersecting at a point
Two bars

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Theory of Structures
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

V = 0
H = 0
M = 0
All of these

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