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Theory of Structures

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

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

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/AE
WL/2AE
WL/AE
W²L/2AE

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Theory of Structures
In case of principal axes of a section

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

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

1
1½
2
½

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Depth of the section
Maximum compressive stress at the section
Maximum tensile stress at the section
Depth of the neutral axis

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