Deflection Principle
1.1
1.1 x 1.1 = 1.21
1,1 x 1.1 x 1.1 = 1.331
1.1 x 1.1 x 1.1 x 1.1 = 1.4641
1.1 x 1.1 x 1.1 x 1.1 x 1.1 = 1.61051 Golden Ratio 1.618
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
1.0 - 1.1(2) - 1.25
When the span increases 1,1 times longer, deflection increase 25 % and tension 12 %. The Factor 1.12 is to all profiles.
The table above the image:
L = 518 cm Deflection f = 0.518 cm σt = 2.2 kN/cm2 f / L = 1:800
The needed known data
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L = 1.1 x 518 = 570 cm f = 0.71 cm σt = 2.49 kN/cm2 (Calculation program)
( 570 cm / 1000 x 1.25 = 0.71 cm 2.2 kN/cm2 x 1.12 = 2.47 kN/cm2 )
570 cm / 0.71 = 1:800 σt = 2.49 kN/cm2 / 2.2 kN/cm2 = 1.1( 4)
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L = 1.12 x 518 = 627 cm f = 0.99 cm σt = 2.83 kN/cm2 (Calculation program)
( 627 cm / 1000 x 1.252 = 0.98 cm 2.2 kN/cm2 x 1.122 = 2.76 kN/cm2 )
627 cm / 0.99 cm = 1:630 σt = 2.83 kN/cm2 / 2.49 kN/cm2 = 1.1(4)
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L = 1.13 x 518 = 689 cm f = 1.37 cm σt = 3.24 kN/cm2 (Calculation program)
( 689 cm / 1000 x 1.253 = 1.35 cm 2.2 kN/cm2 x 1.123 = 3.1 kN/cm2 )
689 cm / 1.34 cm = 1:500 σt = 3.24 kN/cm2 / 2.83 kN/cm2 = 1.1(5)
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L = 1.14 x 518 = 758 cm f = 1.91 cm σt = 3.71 kN/cm2 (Calculation program)
( 758 cm / 1000 x 1.254 = 1.85 cm 2.2 kN/cm2 x 1.124 = 3.46 kN/cm2 )
758 cm / 1.91 cm = 1:400 σt = 3.71 kN/cm2 /3.24 kN/cm2 = 1.1(5)
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L = 1.15 x 518 = 834 cm f = 2.67 cm σt = 4.25 kN/cm2 (Calculation program)
( 834 cm / 1000 x 1.255 = 2.55 cm 2.2 kN/cm2 x 1.125 = 3.89 kN/cm2 )
834 cm / 2.67 cm = 1:315 σt = 4.25 kN/cm2 /3.24 kN/cm2 = 1.1(3)
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L = 1.16 x 518 = 918 cm f = 3.73 cm σt = 4.89 kN/cm2 (Calculation program)
( 918 cm / 1000 x 1.256 = 3.50 cm 2.2 kN/cm2 x 1.126 = 4.35 kN/cm2 )
918 cm / 3.73 cm = 1:250 σt = 4.89 kN/cm2 /4.25 kN/cm2 = 1.1(5)
.... 2.5 - 3.15 - 4.0 - 5.0 - 6.3 - 8.0 - 10
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Proportionality has five steps, but the example has six steps.
21.6.2018*8:00 (189 - 43940)
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