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SUBJECT:Bristol Tolliver Park <br />Member Calculations <br />Typ. Steel Post A <br />SHEET NO:MC1 - <br />PROJECT NO: 11250537 <br />BY:MAM DATE: 09/05/2025 <br />3 <br />Hemisphere Climber Steel Post Check: <br />Round Steel Tube Section Properties:Tube size:5.0 x 0.120 <br />≔Fy ⋅50 ksi ≔Fu ⋅62 ksi ≔E ⋅29000 ksi ≔Ω 1.67 <br />=Ir 5.48 in4 =dr 5 in =Ar 1.84 in2 <br />=Sr 2.19 in3 =tr 0.12 in =Jr 10.96 in4 <br />=Zr 2.86 in3 ≔rr =―dr <br />2 <br />2.5 in ≔Lb =+⋅14 in ―――――⋅⋅⋅2 π 148 in <br />4 <br />246.48 in <br />Compact VS Slender (AISC 15th Ed. Table B4.1b): <br />≔λ1 =―dr <br />tr <br />41.67 <br />≔FB4.1b⎛⎝λ1⎞⎠ <br />⎛ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜ <br />⎜⎝ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖‖ <br />if <br />else <br /><λ1 ⋅0.07 ―E <br />Fy‖‖“Compact” <br />‖‖“Noncompact” <br />if ≥λ1 ⋅0.31 ―E <br />Fy‖‖“Slender” <br />⎞ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟ <br />⎟⎠ <br />=FB4.1b⎛⎝λ1⎞⎠“Noncompact” <br />Flexural Steel Tube Moments (AISC 15th Ed. Sect. F8): <br />Plastic Yield Moment:≔Mp =⋅Fy Zr 142.9 ⋅kip in <br />LB Nominal Moment: <br />≔Fcr =―――⋅0.33 E <br />―dr <br />tr <br />230 ksi <br />≔Mn_FLB <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖ <br />‖‖ <br />if ＝FB4.1b⎛⎝λ1⎞⎠“Compact” <br />‖ <br />‖‖Mp <br />if ＝FB4.1b⎛⎝λ1⎞⎠“Noncompact” <br />‖ <br />‖ <br />‖ <br />‖ <br />‖‖ <br />⋅⎛ <br />⎜ <br />⎜ <br />⎜⎝ <br />+―――⋅0.021 E <br />―dr <br />tr <br />Fy <br />⎞ <br />⎟ <br />⎟ <br />⎟⎠ <br />Sr <br />if ＝FB4.1b⎛⎝λ1⎞⎠“Slender” <br />‖ <br />‖‖⋅Fcr Sr <br />=Mn_FLB 141.57 ⋅kip in <br />≔Mn =―――――min⎛⎝,Mp Mn_FLB⎞⎠ <br />Ω <br />85 ⋅kip in =――Mu <br />Mn <br />0.20 OK