 HEB 100 as Pascal's Triangle 2
European wide flange beam. Dimensions according to EN 1025
The matter's deflection of the concentrated force
F = 1 kN
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The profile deflection of the concentrated force (= load)
Length Pascal's Triangle Deflection
HEB 100 -1 1
HEB 100 -1.1 1 1
HEB 100 -1.21 1 2 1
HEB 100 -1.331 1 3 3 1
HEB 100 -1.4641 1 4 6 4 1 0,9803 cm/0.7366 cm = 1.331
758 cm ============== 0.9803 cm 1.331
689 cm ============ 0.7366 cm 1.331
627 cm ========= 0.5534 cm 1.331
570 cm ======= 0.4158 cm 1.331
518 cm === 0.3124 cm - _
1.1 Factors 1.331
We could use both 518 cm or 519 cm for the calculation. The Choice was 518 cm. Deflection of the matter, is proporotional value of Phi 3.14
519 cm === 0.3142 cm - _
3.1415926.....
Example: Deflection of the concentrated force
F = 1 kN
f = F x L3 / 48 x I x E
f = 0.3142 cm
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
We started from proportional value of phi and we finished on the fift row to the proportional value of gravity force 9,82. This, if we want so think.
758 cm ============== 0.9803 cm
18.2.2012*15:19 (761 - 43942)
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