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_u5eMBp7f3oQcLO32Oq4rUL5MHFoIWHLWyy5WB7_931Muu3bBCJvFH2dv8togz0__2p4Y8J9ptyyuAaietT-slStyvWcrHEqr3AR-tKORHyEJJsunQr3eSEbYJRJ_BwB2izjJrJPCx4WbbuEdmET2iG_ykGvlO8ekEoTwHY-_TLhFIVFWI_LqZtN7j6eqWA160KBdBjAJMbFenHYuBfcf-HeM75mG8G5FX8oI8xmWQxlxxQcgQiuBU9fiS9r1tHHKlR-D74Oq-_qDlzzZoKoWXseDzO=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_s4q_XjHeKQ64v3lcredz9njDPicMzn-U0XMmi5ouQ2OvlqhdkKr6dJLwFA6I1dBNbxR_quxfFRAg26aAWlVGoQ6QmNtDHnsxsnHGpKvprAFmEJj_3oG8cHnDGd3XGp61P_J3iPdXr0v8mHGptM8YYPvKFqKm0-MdyBy_E3lbQwkWrJsUKNFvd61iWlw_g2AZb5Q0qE_KQwwPFD1oAGb96eKbhuIlUD23VjUlsj_fr8jXI3rZRu1IxQnyZK9fI3dLIWFWMuPRr0OXymUDcIZp0CkVKzBhEyZrRTXzVA9YpL3s5cctCUweoar27VqnVcYcSNFHK2CaZh4_sk_mhj7qcFzN51hMfwgS2OBnCesh1OlNsX9EAeNEGbG-6wZGZj9KbJWn-V7QWFp5HmAfjLzY5T3NwIwDsL7MUzghiSdsi9Zay4OwiVCHxzTqWzVYx_-vX_=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_tHPVRXg9JvHjBCTrDTUxgtx5UHY1qmWGoNTBYxMX6dvV0m4SADdW3HBdivcGTtWGpQjEjdYrUYWttM8jMtfp5IG5-40uvPY47FBEbB2vp0gnxHBinpVeVvSPC95g00tY_r_YlhG9DAI1Bg2yGFS-36RozcfNBfqOG0Rck5Ho4LaBsSFmFpYNbfqw2m7XrZbtx4yPMnbML-PlrxW1Nf9pNUoOWJEUpDvWKg_yyMwqXpN9NoFH4I80X0uEuH29_tPtIRg9u8ClSFvKQ0G5qUYCg_kaGytfO9Jjg8eLdn3aQ0iRtYSuB0gUueQtq5UgTqQfYpKl08qYBfHsdm0CYA2lxxmEWRq5sxUmaqDgn9UjZ-WI-vICF8-G32zeX4VZ9xfYaQkvviLiXySZY4E-oBQ5i2i4RvfSd41wPS5e20B80vOtyKcKryrZs=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。