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_sg6M2BZUPtM46qi3SUcS1zMrZB2M9mmtvUGZmpNUdMxed1jR9nOxxyO_6VWM919--ZSfZ4VBMWLhfWWv5ycgznAFQV6NXaaLvh7SfluO3IqJ6IwAJ-BxT16zOmuw1_TdGYB8oeeG6aIwu19q4TOiXndetmtKrsp10EX5csvh95IOqosmOsqxRFE2hiRBVl3JGObsh6OfCT3zXUuu9b7i3IlGK1kD3r89qNRBSz-R_hKMwZPwo6c3W7KcnrMH0OGRPpDLPtThPh4KAxC7KbeR5HumGi=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_vX0ONKNiHjreVXk1UsChQbO0H1ttmxMQyBPjKDWXhD60IPm4QXQYkEebUCMhlkwYC7pI1RCbeYzNMs6jkh_4YCI1yhbn_K9hddAsbsemN1HS7cV1lLm6CakJDxXlPcdZRPkHzUktONAQbA2z76Po7S1y1OovkyYJ6Ye5VKyVhAO7nv8RYkcWJsjGT7HdasToSidirAnw_GTYMwdq95M8SRGHIFsPeYXQypbVoYq2moLwt1PxVk09gyoGx2xMqaKDj4NuiVY7IgyvI6LxzJCrzwwf7e8kfIKw0VdAfwFINEGHKLLE6ijQ3y_LBikPs5YH2c_2mdFKS4amaz3X_NrzO8m4Zw9c5A5S6rZqDMrmnnjo4oIgwHHz_C6mi1kmdvq3jOllo-oYl6_MN0uUDmu6_lZj-u6bd5Dgw8gn0koBwdEtMSvoleOMx5fic9rt7_lHal=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_soqsDIG2gBHirPwifvgRvRKLIvtiGenUBcglqgbGJEiuLd1OKDY0MMmjAkt4L4HFwBzcThPgr8BraqbPIaXVYoXmQeyyrNFJnQQ61sJD_7n7velzM4DKGEvYFqi4jxX8hlGc4f8gwAqjpB9z1PYV34qp-devU7Duu1pi0gdO7LPw8ZXkLEMpB7NdvuL87nzs0zFIXByin-oFItOTQo5ZBk1Sv5TemN-pPmnDmPSjZWbYRcq40DOcmLGjsFI1UD7gIalYw_kDP4k9OW3Lqh_LW39ZVNCcjej4msihQPRUK9zSgCN-n7Lao9fXxodQb6cosaxe5-pjaOI8Fl9Z8hwYCLiW0SmhY3os1_HzJXxitaav-4t4jcnvuQ0tA1OfZ_7dN9lCevbf_RaHZxvGRxXK8l-H08do8zFS4ENcMpFk1pcsOZ6d1BBbY=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。