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Theory of Structures

Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/12
1/10
1/8
1/16

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML/EI
ML²/2EI
ML/2EI
ML²/3EI

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

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

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Theory of Structures
In case of principal axes of a section

None of these
Difference of moment inertia is zero
Product of moment of inertia is zero
Sum of moment of inertia is zero

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/2
1/8
1/3

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Theory of Structures
a uniform circular bar of diameter d and length , which extends by an The deflection of amount under a tensile pull , when it carries the same load at its mid-span, is

el²/3d²
el/2d
ee²l/3d²
e²l²/3d²

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