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_uocnUIf0xqGlESCXzfnpUeK7SdFceWEsbrIlXghS1DmtotR7BxTi46sfygB3zUk8YF2f0aGWwksW3U800y9FhNxFbMdr9pVeSE5RLPwgtscoJgQvnGMEF1NyMYRfuLYkwXZABfGyfdw3908L-HY6mc8aUxxA-EmjPhSQCBSOtH0G-He5GfoFaDQ85VEGLQVw3ixZ_yqybbZeAqF1l8iz0CRl624mFy9yXVH3ug4z8PeV-Jo0CxsMQhWWPTBqUJgvJcFCCSfzEuH8Vpn_b3sM1XtwqA=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_sifGILD1YQCcL0dXM3_ySmW1Y8QdKGfbctPC888l8KpJmUvRfl3IMYuA9_y1U-Fxw4VsiWtj6itxLGqU2_xUSPNNpBXCKhwktKDjOALYW7lfGfZjyeplDk8CJzFZLvVLOlUG2hfGLbRenMeP4grDkoT2bAUWno2G1cG1ISu7BdR9_bZKI0TmRvAT8lq0tQGQCgx49ikQzmsaFdl--h8Bv3fe89TmgUY2LIowXopzqriV4cGKsJC0B3LcExOM3tpFCH9hDXDj6KLfTIlx_S7bJdptW7ud7dPmnFfoUTH_8gGKvxT-CC-q9Uhq2tAd3GnWb7Ae-fyC6gz3hEl351NJ_k_BSqnfaNnV0zwLgnZHLEX32j25Gy_9OzhXo18PGCREu5-OqE0xj6OM2R7LBi4cRg9Coru5kZFjPjUQ7tOYJpp-tfS89BgL7TSuYow3eAt5G0=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_sAKyyc11wcy_1OrS5NxDL0YtBaaklMNSIL86EGxi5gRQQlvefj_sMbeFEwGlEurQj2nUlsazib6y2RE49vOJSyZ0OumRNACQcXEdaIbFzW6zkmVkf8ZjtawTpX-pqXDkWRcGkm-E-SQEfVuXhZS3wd-74QRFje3BvLUCUuxSFAoKbFNZgxLwNP62kqmRHTjvU7MbUQ64CpvM2KcY7SpdSgYq913RoZFnnVsxGJguwwVzI2lBcsgFw90opmut5TU-lwRyxQNeRASsTVyjsS-Vssa2o2Dp2Hv4Lo9mISecYEC5PSS859OlJ2CDYBFPcvqKen2reTOtL7dPFSEioFSyXfGmTz2mhvVDKgUZvuRyDZziwYwL_ctD31Yh9isj2fnwgRQGLeSi4E9w1lsjXuQ3Zzbs00c78r5JpxRLs4DaOOjHOj8WtnjY0=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。