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_vQQf7U_Qv36bqv0eGRn0G-NgrK11zfuqhAQqjZRmwhizgHNAYskb4oJ0ItRwL1agOvDgG0q5z80-Z_1Kw1HBm4hXIHxAqz7XxOt1r4o-HubzScIOmTWE0WgarZ4FEBjs2B6wl1kUNJWxLvkeGJHAzx2RyHAXbBF4jkiUmvU7CehzP8cUn-xU42tveVv7pYGoUtYlTefMU8_Nz6YKFJLOxOWJkKBZueJimqdWOSOre0y2X9oTKZmQi1W6QNFCJAOSIoI2kOCCy-teWu2TUB-4yJfURe=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_sCumO6uUkjZBJliYlMgAsbNHZ1F90Cl2PQqKghr7sIBI33KFdXqu-p-FgxKOr5jBkx8lH4pZdqpTsONG7CpzhYydy0MGndzHTt-r-YfP8pkkC5CpgpHBRjZHyfdHPiLGgf_pMln8VpnP2tdAoRdEu-YjQAYRX0FRuRbsQX6Ggwr5poYkGNX-y2fo30Q9DnmCLAXG2myHikFKI9cF3lTf8ujp0qh7MYjyv9Nv60KarcGr_19WpKVFPzQ8e51SPXYtXio1K8k767w9LB54KedBnnJ3dbEejZCM3is6v31cpzEuzwZ5k-1O4ExgWEk6rTi1OuaExzk2ZzEpLy6poShg50RLj1VJlXjuhihxR1e5zDHfuMfpbeFKVlbe0WppLq9T3wQ9gtb3PBHyIlLN3XvL-Z1FAsXXNkD4BRmqftKRKWVheZPEFBc96nhaHCqDK88nKt=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_uYA1Rc0F8pXT4XbYXMvbLuVvYqCkVmU_39lkPfV4PB7Y8G5Lbr8PAXLAhMTjLMRqOJ0WCNLUbqCxbtk6TbBfLy_7IbyYeulvIpmgN4W4_87JEAPT9A34JvIXEP2iYHQ8NZLB7LZ0ypcr9JO5BruN5JYyPdKEb1AUAzK04LQZKH4CpIZOGC947ZjkK49br4loXS560e7j9gTcmFMkqQS18dAo9cNAQrmE7SjMFXsXDWLOAiag5HQ59R1Uuvl3ZSQQIm9JnLz1xH6ygLL_ZzWqyx2V6yJZmlsTFDvJhP0YhCU4QXvavSg4s8o_NidK28xJDTuzPfXQas4y0i_f1NR1xApm6rAjCJ9lLp3ur3SJ4qo9jwRco0uWu99YyJr-wcljELDT4CXSbSrGHF_nUIcNQP6PnucvrMnfJ7FPGYHmxoAXui0oC_2cI=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。