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Theory of Structures

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
0.404
0.707

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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).

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

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Theory of Structures
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

B.M. will be zero throughout
S.F. will be zero throughout
Horizontal thrust is wl2/8h
All of these

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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

35 N
30 N
25 N
40 N

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

Haig’s theory
Guest’s or Trecas’ theory
Rankine’s theory
St. Venant’s theory

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Theory of Structures
A compound truss may be formed by connecting two simple rigid frames, by

Two bars
Three bars
Three bars intersecting at a point
three parallel bars

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