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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

WL3/3EI
WL²/3EI
WL3/2EI
WL²/2EI

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Theory of Structures
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

1
1½
½
2

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Theory of Structures
Shear strain energy theory for the failure of a material at elastic limit, is due to

Von Mises
Rankine
St. Venant
Guest or Trecas

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Rankine
Perry
Straight line formula
Parabolic formula

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Theory of Structures
The point of contraflexure is the point where

M. is maximum
S.F. is zero
M. is minimum
M. changes sign

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Theory of Structures
For the close coil helical spring of the maximum deflection is

8WD3n/d4N
WD3n/d4N
2WD3n/d4N
4W²D3n/d4N

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