AISCAISC 360-22
Formulas

Formulas: Round HSS

PDF page 232 · AISC 360-22

Formula 1

Pnsin⁡θ=Fyt2(9.8βeffγ0.5)QfP_{n}\sin \theta =F_{y}t^{2}\left( 9.8\beta _{eff}\gamma ^{0.5}\right) Q_{f}

Formula 2

Limit state: shear yielding (punching), when Bb<B−2tB_{b}<B-2t

Bb<B−2tB_{b}<B-2t

Formula 3

Pnsin⁡θ=0.6FytB(2η+β+βeop)P_{n}\sin \theta =0.6F_{y}tB\left( 2\eta +\beta +\beta _{eop}\right)

Formula 4

branches or where B/t≥15B/t\geq 15.

B/t≥15B/t\geq 15

Formula 5

Pn=Fybtb(2Hb+Bb+Be−4tb)P_{n}=F_{yb}t_{b}\left( 2H_{b}+B_{b}+B_{e}-4t_{b}\right)

Formula 6

When 25%≤Ov<50%25\%\le O_v<50\%

25%≤Ov<50%25\%\le O_v<50\%

Formula 7

Pn,i=Fybitbi[Ov50(2Hbi−4tbi)+Beoi+Beov]P_{n,i}=F_{ybi}t_{bi}\left[\frac{O_v}{50}(2H_{bi}-4t_{bi})+B_{eoi}+B_{eov}\right]

Formula 8

When 50%≤Ov<80%50\%\le O_v<80\%

50%≤Ov<80%50\%\le O_v<80\%

Formula 9

Pn,i=Fybitbi(2Hbi−4tbi+Beoi+Beov)P_{n,i}=F_{ybi}t_{bi}\left(2H_{bi}-4t_{bi}+B_{eoi}+B_{eov}\right)

Formula 10

When 80%≤Ov≤100%80\%\le O_v\le100\%

80%≤Ov≤100%80\%\le O_v\le100\%

Formula 11

Pn,i=Fybitbi(2Hbi−4tbi+Bbi+Beov)P_{n,i}=F_{ybi}t_{bi}\left(2H_{bi}-4t_{bi}+B_{bi}+B_{eov}\right)

Formula 12

Beoi=10B/t(FytFybitbi)Bbi≤BbiB_{eoi}=\frac{10}{B/t}\left(\frac{F_y t}{F_{ybi}t_{bi}}\right)B_{bi}\le B_{bi}

Formula 13

Beov=10Bbj/tbj(FybjtbjFybitbi)Bbi≤BbiB_{eov}=\frac{10}{B_{bj}/t_{bj}}\left(\frac{F_{ybj}t_{bj}}{F_{ybi}t_{bi}}\right)B_{bi}\le B_{bi}

Formula 14

Pn,j=Pn,i(FybjAbjFybiAbi)P_{n,j}=P_{n,i}\left(\frac{F_{ybj}A_{bj}}{F_{ybi}A_{bi}}\right)

Formula 15

βeff=[(Bb+Hb)compression branch+(Bb+Hb)tension branch]/4B\beta_{eff}=\left[\left(B_{b}+H_{b}\right)_{compression\ branch}+\left(B_{b}+H_{b}\right)_{tension\ branch}\right]/4B

Formula 16

βeop=BepB\beta_{eop}=\frac{B_{ep}}{B}

Found in

Formulas: Definitions of Parameters

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