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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

0.303
0.707
0.505
0.404

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

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

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Theory of Structures
For the close coil helical spring of the maximum deflection is

4W²D3n/d4N
8WD3n/d4N
2WD3n/d4N
WD3n/d4N

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M 2
Width b M
Width b 1/M
Width b 3 M

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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
30 N
35 N

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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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