Steel Beam Design Example
Design strength check of the steel beam named PL019 is done under the most unfavorable internal forces as a result of 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 F_{y} =275 N/mm ^{2} F_{u} =430 N/mm ^{2}
Cross section: IPE 450
I_{x }= 33740 cm^{4}  I_{y }= 1676 cm^{4}  J_{x }= 66.87 cm^{4}  C_{w }= 791000 cm^{6} 
W_{ex }= 1500 cm^{3}  W_{px }= 1702 cm^{3}  A= 98.80 cm^{4} 

d=450 mm  h=378.8 mm  b_{f }= 190 mm  t_{f }= 14.6 mm 
t_{w }=_{ }9.4 mm  i_{x}=184.8 mm  i_{y}=41.2 mm 

Control of Cross Section Conditions (TBDY 9.3.1)
It should be checked whether the flange width/thickness and web height/thickness values of the beam crosssection exceed λ_{hd} value given in Table 9.3 .
Cross section flange;
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Crosssection web;
The result of the analysis was accepted as 0 because the axial force value was low.
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The control of the crosssection conditions is done according to TBDY 2018 Table 9.3 in the steel beam report and summarized in tabular form.
Lateral Supporting of Beam Flange
The longest unsupported beam segment in the lateral direction is L_{b} = 2.0 m. According to TBDY 2018 9.2.8.1(a), the distance between the points where the lower and upper ends of special beams are supported, L_{b} should meet the following condition.
It provides the condition. In the steel beam report, the control results are given in tables.
Flexural Moment Strength
While checking the beam design flexural moment strength, since the lateral supported lengths are different, stationbystation should be done for each section. For the convenience of manual check, it will be done for the section L_{b} = 0.75 m, which is exposed to the most unfavorable flexural moment.
Because of the condition, the characteristic of flexural moment strength is determined according to yield limit condition. According to the CYTHYE equation 9.2, the check is done as follows:
As a result of the analysis, the required flexural moment strength obtained as a result of 1.2G+QEx0.3Ey+0.2S+0.3Ez loading is M_{u} = 203.637 kNm.
Shear Strength of The Beam
According to ÇYTHYE 10.2.1(a) in Icross section with double symmetry axes,
With the load combination QEx0.3ey + 1.2G + 0.2S + 0.3ez, required shear force is determined as V_{u} = 12818 kN. It has been shown above that the crosssectional capacity is sufficient.