Pascal's Triangle Factor 11
Pascalin kolmion kerroin 11
In mathematics, Pascal's triangle row factor between the lines is 11, but in EPC calculation the ratio is 1.1 and the following shows the value of the coefficient of 11.
Pascal's triangle
1 dim 1 = 1 1 = 1
2 dim 1 1 = 1 +1 = 2 1.1 x 1 = 1.1
3 dim 1 2 1 1.1 x 1.1 = 1.21
4 dim 1 3 3 1 = 8 1.1 x 1.21 = 1.331
5 dim 1 4 6 4 1 1.1 x 1.31 = 1.4641
The factor of the fourth dimensionality is 1.331
Deflection
When the load grows twice bigger the total change grows 11 times bigger. The distance of the deflection grows eight times bigger when twice longer span. The same shows the row of the 4 dim.
That cannot see is the Universal Friction; 1.331 x 8 x 1.03(28) = 11
Time dilation table
The growth of the span has the character of one-dimensionality, with a factor of 1.25. Just as the spacecraft travels in the space 75,000 km/s and this resulting the time dilation "friction" coefficient 1.03(28). It can be noted from the table. With the progress of a three-dimensional world, the fourth dimensionality brings its own factor.
1.253 x 1.03 = 2
Time dilation of moving particles
Profile L1000 σt Ix Wx Iy Wy Area
Nimike cm kN/cm2 cm4 cm3 cm4 cm3 kg/m A cm2
HEB100 518 2.2 450 90 167 33.5 20.4 26
Table: When span of 519 (518) cm => deflection 0.518 cm
Deflection of the Girder Weight;
The girder weight
10.36 m x 20.4 kg/m = 2,08 kN
f = Deflection
f = 5 x F x L3 / 384 x E x I
f = 3.279 cm
Deflection of the Concentrated Force;
F = 1 kN
f = F x L3 / 48 x I x E
f = 2.499 cm
Total Deflection;
3.279 cm + 3.251 cm = 5.800 cm
5.800 cm / 518 cm = 11.2
1 - 1.12 -1.25
11.2
112
(factor 1.12)
Calculation is not decimal placing
(898)
4.12 2014*9:09
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