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Theory of Structures

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

WI/2
WI²/4
WI²/12
WI²/8

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD² + mbd²)/4D]
BD² + mbd³)/4D]
BD³ + mbd³)/6D]

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

1.7
1.2
1.5
1.3

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

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

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²D3n²/d4N
4WD²n/d4N
4W²Dn/d4N
4W²D3n/d4N

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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
1/8
1/3
1/2

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