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_uiirzvGghIhlG2Z4EhpqZRHecr5KEY9tL9MjMd2TBusk5KSIfQCE0BQCUE1BT4LOq2r2KeYoGqTKqFPqtwNvC26ZuFHoLaBa_2ip06bIz8YBrgmUx8_LnGofV3H-tp-A_9utWGdhuiN7CNpo2MHLcMYamrbbnambDpf2tW9bDmYS8b2FHvLZL4N7C6eeD3-_8iSW0UllQbIlkWz6V3VUuTU1AxjiJOrh0Q1pFK8z4BVkCJh4DZcHAOL0reKOcVMVisnV0r5hgz8EZWszrFZXrzTmWp=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_s0qsBB09Bysnt-R53jfbLN8gCC7EvQlsRxtnaupk1Gx-3PNSpV7M4NYK1ROCWJv0DCvtqigv8YCvZTDAJeSIJthD7au3omAZLmhVe0Wlj9Vq1RpLk154A3jz2g0uutjlmcHHXyBJ0Zorq7raabMQl4np3982J_ZzU7tvyjzo7otR1AYC8XBPyxTLjyY2zAZiAeEa82rs_FBG-K4x5uRVgOFDHxvqHmgAspTeOe64x9oh24iXPWEYfiRickuE7kNOBx15dB-8Dn56rlVgFhn-RcTlEtqA4tMAdP88dtFunK3RHdnniSkE410NGdiax71hBNMLs40qIz2hSIIuMghe7Fnozewk6N4How5_vLsyQ_zniSpaL7V8XChn8yKjhofF-1h1H2PIAi5JUruOCE05h9zopUT1FWChf0GVgspabJH5E9zXVPQd_Jg1yZGotlLpOX=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_tYjT0ZShmM9InfEYI-vd85UKioo0F5IGl6YEnIipi8KHoQ34vYk9UsXq7BlV1oWtiO6_PyTLmdW9vK-ftwAdJtQnAgHp-Hhw1P7iTcYZ2PvsPXbJRvB4xO6DcOYlr4ttOI4-2U0U5d8NoMUPIku2oJ69hNAAAwNWDni5mofcRgte-MFm7qJCAvL6mkAGNb7ZyGIFb_xizCQB2rrb7lZaK6gjWGTjTOoBMRon98r9VxYdbAYQaPrDn2GPXDbJ_JfS6cJ6DBejKxv22Ahu4psWk82R75AoEFWuYZXMHL1jlJ29MRTJvggf3vm1lvTDBjztTJ8YrgnvBJe99uIc4eYK8-aR-HncAddbJK_HF9sfU3XmA3SCGTdMeyCKfZm8S5jdo7WxidmxZ-jdwBZozM3YqaIQKGXa9vEWtbJT1FMyNA3mfBLM0LMyY=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。