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Theory of Structures

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

2.5
1.34
1.5
2.34

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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

0.505
0.404
0.303
0.707

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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 = F – S
Q = S – F

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

Width b M 2
Width b 1/M
Width b 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

35 N
40 N
30 N
25 N

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Theory of Structures
The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

2.75 cm
4.25 cm
3.00 cm
3.50 cm

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