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_vSZrVMx3is1tdngCOeq6MeiiSBHP_16pthb5SA4jSCwEyvZ_zrpR0KXnhOsXDmXs88FBSx5rN7vsqm-CGreUetguG7HT7Bigj8-SSR2Yd3_TR7VBVV2wXtq7nEW060xwPFv-k2svmwql5aEh2_Q7oflwhWz3gH2QPK-Pxv4UCSdWmvD4Apjqdi6N70gtOgTic6-yowNpn5H_l1V49U9U9vklZyMxxFZyR7d66jet49CunCrel-zN9qjcrSpsIJ00J2pW_By2wAdLR88vYDAoVpe8zC=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_u13Q_PFhbNQo4gCiUOGzTrM6bIc5-l6_3dKLcm6TFCLagPLvzc-Ua_j1X3WO8NR3SNBcUTMaQFrSK9pXCwODetXGiHSuwqrGWPFB-PNuBBWcuV-q0yES5BWtfBxTs8y-NxsUs8lnr1pkVYdp_QhWXe7-vv5_9ioI-ahWY9TWkutWdrJtB1fESJKchCRBuHw61KMrHQEKh_kwtvXmqq1FBOSNe9sDBnWYkoKAs8ESHrIVGmW1_N_2viPcI6_pnrbl5ftbFdiWCeOl7_zKdlDb_DqJdTdE7SBRpyYygZmQCeESv6wQ9EpRb_0Z_4z24Mv00AND7zb4OsvT51YQfvM3b5gidc9-MNlim82ip0_p4KFVMI4KICCkWat5KlPRe8qX7MiwZCnwf6Ggpg7aW2uDnGaQ0T-_5aQU-LaBe-VQ5m8R4SQVonL3WbWRslPHDs7Bj7=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_tOQx2Z_diKupJMxbEFEoF17md3EfWihZYgYNYZ9Av2DRKCppdjFw0YhcjBK8E0XAd24YYC2v6tsha1X7KjW3njAzcO-paqbuY94-EXRSXzZ7Px5LIn1IRFsCLk2vZ4ZTfbTpNAfnBnhYsexwUiUeByOrmxMbl5y4qYVWGqP6U1imh6s51OnVRP31LXXToekHBSyVbHO283a-yojIs2yKnyochQUnEtgQvnJTzoJGPm1FteJiDGPSGLd2-DaaklHFEq51JMcEUqON9tY0DSIUNWyEDEyawo8_9zb4TLHaN-7_J8670E60kZH4GcCHQavTsZkbnL4glRrQVMatOpSllj8VCf83tG3vAnWY0g1kuH1xR4pt7EHhYpHgQysliG2UC2fgMgkHHLQEPIWQwE9CkY9Lsen6E6AtoZEIoEWGkEi2xswLU5TLA=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。