I work for the same problem recently, and I choose the Chapter 11 of Taiwanese LSD Code to solve the yield problem. I can calculate the limitation of the flange or web for the H beam, and the formulas are just to control its allowable reaction force. Of course, the reaction force may be too large for the H beam, but I can choose the larger H beam for the engineering construction design. The ASTM A572 Gr.50 H beam, RH900x300x16x28, is selected, and the formulas 11.2-1 & 11.2-2 are also selected for the present situations. If you wanna know how to define N, you can see the Figure C11.2-1 where is located on the Taiwanese LSD Code. Besides, the parameter k is NOT tf, but you have to include the circular region which is k = tf + R. In my engineering case, I don't have to add the stiffening plates, so that I just provide the fundamental formulas. The steel material is not JIS or CNS standard, so that I don't have to reduce the yield stress Fyf for the flange whose thickness is less than 1.5in. Hence, I can check whether the size of H beam is enough or not, so that the yield problem has been solved.



![=1.0\times \left [ 5\times \left ( 2.8+1.8 \right )+40 \right ]\times 3.52\times 1.6=354.816tf>R_{u}=82.392tf](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_ulVt_oLB-Py5E98z2lIOgc4iLCD8PbUHz3Pa95Qiy4QeQzdVQWJ_zCW7gq_-EkK3jQMiB8Pih4dwK48zIuTQZqrezLHC1brAmNTPoAhYx-c5JTqmNACSe36dp6b8E56oNZwoVN-WDBB-JUike-N6kr9C6FoapQfvqN3qpw7hrU39nfHYOqcJvoRDQSQcabIJ2nfevKRJEE5ioBdSVerKldjugQmCto9d7KrsU7CiSODCG8cF9-Gx9nLLdiB7IzlbRVDLySd3lgjQUUKmWenAY-saoh=s0-d)
![\phi R_{n}=0.75\times 36t_{w}^{2}\left \{ 1+3\left [ \frac{N}{d} \right ]\left [ \frac{t_{w}}{t_{f}} \right ]^{1.5} \right \}\sqrt{\frac{F_{yw}t_{f}}{t_{w}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sdy6s3fp0omEf0pWLeMomBJ-m53SOpZg1ZplI_kp-zvYFQ-zGEwG7X61V8tok3HmTlHs-nny1TWanYkVdbdN0F-cNDExHC6dd0xnWkU54DUq1214Vivrpd3lEAE_jQEgQUS4EuPAKPmq3LSkW3-oXQrV0VLH5-Q_c7deAlaQMNK8yT51Z4IWxVDMqDQT_EDe0vdjK3LCZDAzh6u-PqFsfyv6ihP1Xr4IZaJztTwdHgkAw56qfD5v9h8Lzdb907SwDJ7k8IOm3yLMcGlN6OLiwd9TkgUcdBeqDXgyc4MTgIDbRVbRcjH532lWFIvvViELkwfTYT7d_HOzhRsBr7ZcWlJkusrWHrQnILphhHUrNVNVk1Shiy0_UXyix2WGuRARYs_f6XldNE4jaznQV-WotANF1HY6t_RLmhtlP2eF8H5CDDz5tkkLloKnAdzVsIMrSB=s0-d)
![=0.75\times 36\times 1.6^{2}\times \left [ 1+3\times \left ( \frac{40}{90} \right )\times \left ( \frac{1.6}{2.8} \right )^{1.5} \right ]\times \sqrt{\frac{3.52\times 2.8}{1.6}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_ujpPoE-CYfZZRso7E2AbdKsP0YIuUXfV-oMgHyRrzkH9DxWn7KuooYIdxo1pgfgiyUNrF5gjyLxp5nQYLomlhZ2VVo5hr65A123JzTD1UnrdQuGGAAS4yyPEZDs6nZhHl-O2Pi6oMjOtxaN2kS07qZdFM0lghVdn2wUDWkzcfEoq6L5RfjHH3DkxOy4KEMA2MxRJs8Tcd046nhJcIh9NRxGru4lUWe_N91cu9be63NtC9lCAKIVsZP37a_v0qiEXiChxG3Lex8QBKmYCAoCLn-wpOCHHtL30wVg42V0af6lQCsinpSngriplYcvSLijLVoBGOt_94OGIXQ6kTHIcTYTDDDHxzplQ3JvAEvtmVGe3s7BmzO3SqoPNloKUl6MaZaCD2UITFuHR7jvPwe1Xp1X2F-ZQMmfLfS8ela5DupbtX2-9S_OMA=s0-d)

Reference
Reference
- 內政部營建署(2010)鋼結構極限設計法規範及解說,內政部營建署。