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Theory of Structures

Theory of Structures
For beams of uniform strength, if depth is constant,

Width b 1/M
Width b M
Width b M 2
Width b 3 M

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Theory of Structures
The assumption in the theory of bending of beams is:

Material is homogeneous
Material is isotropic
All of these
Young’s modulus is same in tension as well as in compression

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Theory of Structures
In the truss, the force in the member AC is

t tensile
8.75 t tensile
t compressive
6.25 t compressive

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Theory of Structures
The forces in the members of simple trusses, may be analysed by

All of these
Method of sections
Method of joints
Graphical method

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

(3/2)K (1 – 2/m) = N (1 + 1/m)
All of these
E = 2N (1 + 1/m)
E = 3K (1 – 2/m)

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

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