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_vZY6KBGbkPcwsAbCs6VmWE5nz09KGgaMQK8xqRJ7SRY_mFTvFq7OeFaFHZG5dto0zhCaklrITGEBQOWHsleDjgKotpEAcbhwodf1vGBdSbn__WW2SC1L0exlNajz6At4i_P203t-zAbWofS34HPTJOs_tVnVqkMp8MaZ5sSabT707yk50ULMyUrpFmy2lnuppsz4JATs6Lan4eJVxoy-urTifQ8nM5rvGN4Y9_qSQHMUP6Tf_crjvCLgex0arAq1fGtZwFZAauDJIQpc1QO9emJ0hN=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_uCkvd08aLjleyvB01ufCR2hH9d7ZMov_5PUQh5tyWdsV6CuLsAlSnZFOHH4ec_kn_Ku3Kv0zCYMGmJPSEdTD98odJwswYIMkH1Ivs2SkO0shwRPhQJ7tNHjDODfDJJbyHqH_-d_TGgGVzRyri5BM04B27KEpwX3h4Tllx8ogW6uXLeN_H-qYy-8SdhFhLKNttuEOi8sn0KQOPJmxLRUEAc0aPOmtuEUEPTu0rYfeuP2uKEG60tb4KzQdIzw-V0EkQk2l8152U4GWHasuks7pJ390X-MpHj3BSfM8bzmdMwFhUxGNJE9M1WKb3dbB6KGr7rQrm8Yi0pQGOovq8z85qrrpqeAvJykGHyavRHkfrGwwSw-B1Po44ZynPinqyUx2H2kjNCCUlBt_iu0eQzd4PJ1GQpLXRpgzPfGBCXnni0zlnWqQ6XZX_5lRp-zD6r5ozn=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_uIgBtzCA6nFX2fx78jPVvmOYxnmVfDLm0oMWkvOM0CSwqiPNNgNLxXzQWC4Jaa-NwE8L-kNADThbF8xrDDeNm3Fs83-X-l4FruVuoLkSUVP13Prka3ukaigVcpYOM6TgLYiN99Uq-kBAqYNhrghlLxdwDflwHmXPx6O0oXIHhTtsWURtn3n4_Q6NhFyQShZ0JxfluVqgrmq_Pmz1TuqMmVg03P5dSZSwlWJ9dMFQF8OeuBo0HnmqwBwoZ1mdIW7H5FL6FKXnKY_WHd0wiV6m9tYlzGGGL2eF8Nk38xTBqkFoHDkqvMG7dWybfkknUEos2nTi8iRp46xXgO_DMQYABofluquvLhBxC3PuFJZLE1sEFYrqH1tDTpcPAfIsyukZhcBDmowYF4dgyVz25mM-2g31tkRVOaOVbcglIkuGH2uDjlOmLrqKk=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。