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Theory of Structures

Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

L
L/2
2L
S

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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

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

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Theory of Structures
Flat spiral springs

All of these
Consist of uniform thin strips
Are wound by applying a torque
Consist of uniform thin strips

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

1.125 cm³
4.125 cm²
2.125 cm³
3.125 cm³

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

2h/Wa
Wa/h
Wa/2h
2W/ha

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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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