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Theory of Structures

Theory of Structures
The stiffness of the close coil helical spring is

4D3N/d4n
d4N/8D3n
8D3N/d4n
d4N/4D3n

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.303
0.404
0.707
0.505

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Rankine
Straight line formula
Parabolic formula
Perry

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = h/l² × (1 – x )
y = 4h/l² × (1 – x)
y = 2h/l² × (1 – x)
y = 3h/l² × (1 – x)

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Theory of Structures
The ratio of maximum and average shear stresses on a rectangular section, is

2.5
1
1.25
1.5

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

30°
60°
90°
45°

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