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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
WL3/3EI
WL²/3EI
WL²/2EI

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

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

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Theory of Structures
In plastic analysis, the shape factor for a triangular section, is

1.34
2.5
2.34
1.5

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI²/12
WI/2
WI²/4
WI²/8

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

1.25
1
2.5
1.5

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/3) A
(1/18) A
(1/12) A
(1/6) A

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