Table 2 Comparisons of predicted and observed values at critical points

F_pl−1

Linear

\(\frac{2L}{L+x}{q}_{\mathrm{pl}}x\)

347.1

F_y−1

\(\frac{2L}{L+x}{q}_{\mathrm{y}}x\)

413.7

F_pl−2

Yield I

\(\left({q}_{\mathrm{u}}+{q}_{\mathrm{B}}\right)x\)

871

F_y−2

Yield II

\(2{q}_{\mathrm{u}}x\)

1152

F_u

Yield II

\(2{q}_{\mathrm{u}}x+{f}_{\mathrm{u}}/4\)

1375

Aune [28]

\(2\sqrt{2{q}_{\mathrm{u}}{M}_{\mathrm{y}}}\)

764.6

Eurocode 5 [29]

\(2*\left({1.15\sqrt{2{f}_{\mathrm{em},\mathrm{ y}}d{M}_{\mathrm{y}}}}\right)+{f}_{\mathrm{u}}/4\)

874.2