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HEB100 Bending Case 1finnish_translation.jpg

HEB100 taivutustapaus 1

2-tukinen_kannatus.jpg

Profile    L1000     σt         Ix      Wx      Iy        Wy                  A

Nimike     cm    kN/cm2   cm4     cm3     cm4     cm3     kg/m    cm2

HEB100   518       2.2        450     90    167      33.5      20.4     26


                                                  I    F 1 kN
                                                  I
                                                 V
                              ::::::::::::::::::::::::::::::::::::
                              / \                                      / \                                              

                                <------------ l="" --="" -------="">

                                                  Span

The table is valid when the concentrated force is in the middle of the girder. This is bending case 1. L1000 is the span lenght, when the deflection/ span ratio is 1:1000. This includes the weight of the girder and loading. When the span increases 1.1 times longer, deflection increase 1.331 and bending stress 1.12 times.

                                      1

                                 1         1

                             1        2        1

                        1       3         3        1

 

The knowledge from the table

HEB100   F1  1:1000 =>  L518 cm

HEB100   F1  1:1000 =>  σt 2.2 kN/cm2

σ = Bending stress

       1.________1:800_____________________

1:800 deflection ratio, deflection/span

 

HEB100   F1  1:800 =  L518 cm

                                L = 1.1 x 518 = 570 cm

                                f = 1.331 x 0.52 cm = 0.69 cm

                                (Calculation program 0.71 cm)

                                f = deflection

                                L = span

 

HEB100   F1  1:800 =  σ1.12 x 2.2 kN/cm2

                               σt = 2.5 kN/cm2  

                               (Calculation program 2.5 kN/cm2)

2.___________1:630_________________

 

HEB100   F1  1:630 =  L1.12 x  518cm

                                L = 627 cm

                                f =  1.3312 x 0.52 cm = 0.92

                                (Calculation program 0.99 cm)

 

HEB100   F1  1:630 =>  σ1.122 x 2.2 kN/cm2

                                 σt = 2.8 kN/cm2  

                                 (Calculation program 2,8 kN/cm2)


3.__________1:500__________________

HEB100   F1  1:500 =  L1.13 x 518 cm

                              L = 689 cm

                              f = 1.3313 x 0.52 cm = 1.23 cm

                              (Calculation program 1.37cm)

 

HEB100   F1  1:500 =>  σ1.123 x 2.2 kN/cm2

                                 σt = 3-1 kN/cm2  

                                 (Calculation program 3.2 kN/cm2)

 

4._________1:400___________________

 

HEB100   F1  1:400 =  L1.14 x 518 cm

                              L = 758 cm

                              f = 1.3314 x 0.52 cm = 1.63 cm

                              (Calculation program 1.91 cm)

 

HEB100   F1  1:400 =>  σ1.124 x 2.2 kN/cm2

                                 σt = 3.5 kN/cm2  

                                 (Calculation program 3.7 kN/cm2)


5.__________1:315_________________

 

HEB100   F1  1:315 =  L1.15 x 518 cm

                              L = 834 cm

                              f = 1.3315 x 0.52 cm = 2.2 cm

                              (Calculation program 2.7 cm)

 

HEB100   F1  1:315 =>  σ1.125 x 2.2 kN/cm2

                                 σt = 3.9 kN/cm2  

                                 (Calculation program 4.3 kN/cm2)


6._________1:250_________________

 

HEB100   F1  1:315 =  L1.16 x 518 cm

                              L = 918 cm

                              f = 1.3316 x 0.52 cm = 2.9 cm

                              (Calculation program 3.7 cm)

 

HEB100   F1  1:315 =>  σ1.126 x 2.2 kN/cm2

                                 σt = 4.3 kN/cm2  

                                 (Calculation program 4.9 kN/cm2)

....  2.5  -  3.15 - 4.0  - 5.0 - 6.3 -  8.0 - 10

 

When understanding the exponential structure of the phenomena, it can be shaped without formula.

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10.9.2012*11:23 (43928 - 813)
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