Dimensionless Analytical Solution and New Design Formula for Lateral-Torsional Buckling of I-Beams under Linear Distributed Moment via Linear Stability Theory

Table 3

Critical moments for the beams of HEA-200 under linear distributed moment.

Number	k	SHELL/10^3 N⋅m	B3Dw/10^3 N⋅m	Diff.1/%	Theory/10^3 N⋅m	Diff.2/%	BEAM/10^3 N⋅m	Diff.3/%
L-1	1	82.064	82.69	0.76	81.872	−0.23	82.687	−0.99
L-2	0.75	93.574	94.79	1.30	93.358	−0.23	94.285	−0.98
L-3	0.5	108.090	108.94	0.79	107.853	−0.22	108.916	−0.98
L-4	0.25	126.419	127.45	0.82	126.175	−0.19	127.393	−0.96
L-5	0	149.142	150.45	0.88	148.935	−0.14	150.318	−0.92
L-6	−0.25	175.909	177.61	0.97	175.823	−0.05	177.353	−0.86
L-7	−0.5	204.151	206.32	1.06	204.317	0.08	205.944	−0.79
L-8	−0.75	225.915	228.38	1.09	226.436	0.23	228.096	−0.73
L-9	−1	219.686	221.97	1.04	220.378	0.31	221.905	−0.69
Section and its properties				mm;  mm;
				mm;  mm;
				mm;  mm;
				m;  cm^2;
				cm^4;  cm^4
				cm^4;  cm^6
				GPa

Note. Diff.1 = (B3Dw − SHELL)/SHELL × 100%; Diff.2 = (Theory − SHELL)/SHELL × 100%; Diff.3 = (Theory − BEAM)/BEAM × 100%.