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Theory of Structures

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
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

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

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Theory of Structures
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Parabola
Straight line
Circle
Ellipse

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Theory of Structures
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

wa²
w²a
wa/27
wa²/27

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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 = F – S
Q = S + F

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Theory of Structures
The greatest load which a spring can carry without getting permanently distorted, is called

Stiffness
Proof load
Proof resilience
Proof stress

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