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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 3m – 2
j = 2m – 3
m = 3j – 2
m = 2j – 3

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

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

1.3
1.5
1.2
1.7

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Theory of Structures
Shear strain energy theory for the failure of a material at elastic limit, is due to

Guest or Trecas
St. Venant
Von Mises
Rankine

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the square of exerted pressure
Is directly proportional to the volume
Is inversely proportional to Bulk modulus
All of these

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.40 to 1.50
1.30 to 1.40
1.10 to 1.20
1.20 to 1.30

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