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Theory of Structures

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

1.5
2.5
1.34
2.34

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Theory of Structures
Maximum principal stress theory for the failure of a material at elastic point, is known

Guest's or Trecas' theory
Von Mises' theory
St. Venant's theory
Rankine's theory

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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

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

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Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/8
1/10
1/16
1/12

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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

40 N
25 N
35 N
30 N

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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 = S + F
Q = F – S

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