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The design strength control of the steel beam named PL019 is made under the most unfavorable internal forces as a result of the general analysis determined according to TBDY 2018 9.3.1.4. The material and section information of the beam is as follows:

Steel material: S275 Fy =275 N/mm 2 Fu =430 N/mm 2

Cross section: IPE 450

Ix = 33740 cm4

Iy = 1676 cm4

Jx = 66.87 cm4

Cw = 791000 cm6

Wex = 1500 cm3

Wpx = 1702 cm3

A= 98.80 cm4

 

d=450 mm

h=378.8 mm

bf = 190 mm

tf = 14.6 mm

tw = 9.4 mm

ix=184.8 mm

iy=41.2 mm

 

Control of Cross Section Conditions (TBDY 9.3.1)

It should be checked whether the header width/thickness and body height/thickness values ​​of the beam cross-section exceed the λhd value given in Table 9.3 .

  • Cross section flange;

koşulu sağlar.

  • Cross-section web;

The result of the analysis was accepted as 0 because the axial force value was low.

koşulu sağlar.

The control of the cross-section conditions is made according to the TBDY 2018 Table 9.3 in the steel beam report and is summarized in tabular form.

Lateral Supporting of Beam Flange

The longest unsupported beam segment in the lateral direction is Lb = 2.0 m. According to TBDY 2018 9.2.8.1(a), the distance between the points where the lower and upper ends of the beams with high ductility level are supported, Lb should meet the following condition.

provides the condition.

In the steel beam report, the control results are given in tables.

Bending Moment Strength

While checking the beam design bending moment strength, since the lateral retained lengths are different, station-by-station should be done for each section. For the convenience of manual calculation, it will be made for the section L b = 0.75 m, which is exposed to the most unfavorable bending moment.

Because of the condition, the characteristic bending moment strength is calculated according to the yield limit condition. According to the CYTHYE equation 9.2, the calculation is done as follows:

As a result of the analysis, the required bending moment strength obtained as a result of 1.2G+Q-Ex-0.3Ey+0.2S+0.3Ez loading is M u = 203.637 kNm.

Beam Shear Force Strength

According to ÇYTHYE 10.2.1(a) in I-cross section with double symmetry axes,

Q-Ex-0.3ey + 1.2G + 0.2S + 0.3ez shear loading required combination of Vu = is determined as 12818 kN. It has been shown above that the cross-sectional capacity is sufficient.

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