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Theory of Structures

Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.505
0.303
0.707
0.404

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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

WL²/2EI
WL²/3EI
WL3/2EI
WL3/3EI

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Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S + F
Q = S – F
Q = S × F
Q = F – S

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.002
0.003
0.001
0.0025

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

Method of sections
All of these
Graphical method
Method of joints

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Theory of Structures
The yield moment of a cross section is defined as the moment that will just produce the yield stress in

The neutral fibre of the section
The outer most fibre of the section
The inner most fibre of the section
The fibre everywhere

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