Research Article

Determination of Modelling Error Statistics for Cold-Formed Steel Columns

Table 4

Test database of axially loaded cold-formed steel lipped channel section compression members.

S. No.W (mm)F (mm)L (mm)T (mm)R (mm)Length (mm)Fy (N/mm2)Fu (N/mm2)PTest (kN)E (N/mm2)Type of comp. memberTorsion allowedForming method

180.0641.8617.933.023.96254.00278.22366.00166.43203.255SCYR
280.0641.8617.933.023.96685.80278.22366.00143.74203.255CYR
380.0641.8617.933.023.96990.60278.22366.00134.84203.255CYR
480.0641.8617.933.023.961295.40278.22366.00126.83203.255CYR
580.0641.8617.933.023.961600.20278.22366.0087.67203.255CYR
677.9041.3818.162.443.96254.00357.25428.63155.75203.255SCYR
777.9041.3818.162.443.96254.00357.25428.63161.98203.255SCYR
877.9041.3818.162.443.96685.80357.25428.63134.39203.255CYR
977.9041.3818.162.443.96990.60357.25428.63129.94203.255CYR
1077.9041.3818.162.443.961295.40357.25428.63105.91203.255CYR
1177.9041.3818.162.443.961600.20357.25428.6375.65203.255CYR
1276.1544.6017.631.915.56254.00379.57527.43130.83203.255SCYR
1376.1544.6017.631.915.56254.00379.57527.43133.06203.255SCYR
1476.1544.6017.631.915.56254.00379.57527.43131.72203.255SCYR
1576.1544.6017.631.915.56685.80379.57527.43112.59203.255CYR
1676.1544.6017.631.915.56982.98379.57527.4399.24203.255CYR
1776.1544.6017.631.915.561295.40379.57527.4372.98203.255CYR
1876.1544.6017.631.915.561600.20379.57527.4356.52203.255CYR
1976.1544.6017.631.915.561917.70379.57527.4343.17203.255CYR
2076.8441.1515.492.213.96254.00264.58348.36104.58203.255SCYP
2176.8441.1515.492.213.96254.00264.58348.36104.58203.255SCYP
2276.8441.1515.492.213.96680.72264.58348.3680.10203.255CYP
2376.8441.1515.492.213.96990.60264.58348.3677.88203.255CYP
2476.8441.1515.492.213.961295.40264.58348.3671.20203.255CYP
2576.2341.4515.371.803.96254.00250.11344.9882.33203.255SCYP
2676.2341.4515.371.803.96254.00250.11344.9878.77203.255SCYP
2776.2341.4515.371.803.96254.00250.11344.9879.21203.255SCYP
2876.2341.4515.371.803.96685.80250.11344.9871.65203.255CYP
2976.2341.4515.371.803.96990.60250.11344.9869.42203.255CYP
3076.2341.4515.371.803.961295.40250.11344.9857.85203.255CYP
3176.2341.4515.371.803.961600.20250.11344.9849.84203.255CYP
3276.2341.4515.371.803.961905.00250.11344.9843.17203.255CYP
33127.9463.2722.303.003.18431.80210.77351.05201.59203.255SCYP
34127.9463.2722.303.003.181397.00210.77351.05152.19203.255CYP
35127.9463.2722.303.003.181905.00210.77351.05135.28203.255CYP
36127.9463.2722.303.003.182286.00231.50357.66123.71203.255CYP
37127.9463.2722.303.003.182794.00231.50357.6699.24203.255CYP
3867.1834.9815.821.632.39254.00230.47276.5058.74203.255SCYP
3967.1834.9815.821.632.39787.40230.47276.5049.84203.255CYP
4067.1834.9815.821.632.391041.40230.47276.5046.28203.255CYP
4167.1834.9815.821.632.391320.80220.89310.6735.60203.255CYP
4267.1834.9815.821.632.391574.80220.89310.6730.71203.255CYP
4367.1834.9815.821.632.391752.60220.89310.6727.59203.255CYP
4444.2042.9318.922.293.942209.80305.02434.3740.18203.255CYR
4544.2042.9318.922.293.941905.00305.02434.3754.29203.255CYR
4644.2042.9318.922.293.941752.60305.02434.3759.41203.255CYR
4744.2042.9318.922.293.941600.20305.02434.3771.20203.255CYR
4844.2042.9318.922.293.941447.80305.02434.3789.00203.255CYR
4944.2042.9318.922.293.941295.40305.02434.37102.35203.255CYR
5044.2042.9318.922.293.941143.00305.02434.37109.03203.255CYR
5144.2042.9318.922.293.94990.60305.02434.37131.28203.255CYR
5243.7642.4918.711.854.152156.46304.95421.3940.27203.255CYR
5343.7642.4918.711.854.152044.70304.95421.3939.16203.255CYR
5443.7642.4918.711.854.152044.70304.95421.3935.60203.255CYR
5543.7642.4918.711.854.151295.40304.95421.3968.98203.255CYR
5643.7642.4918.711.854.151295.40304.95421.3971.20203.255CYR
5743.7642.4918.711.854.15990.60304.95421.3980.10203.255CYR
5843.7642.4918.711.854.15685.80304.95421.3986.78203.255CYR
5944.2042.9318.922.293.942540.00330.10429.0534.27203.255CYP
6044.2042.9318.922.293.942082.80330.10429.0544.28203.255CYP
6144.2042.9318.922.293.941600.20330.10429.0570.53203.255CYP
6244.2042.9318.922.293.941295.40330.10429.0596.12203.255CYP
6344.2042.9318.922.293.94990.60330.10429.05117.48203.255CYP
6443.7642.4918.711.854.152260.60308.33413.9036.49203.255CYP
6543.7642.4918.711.854.151981.20308.33413.9046.73203.255CYP
6643.7642.4918.711.854.151752.60308.33413.9049.84203.255CYP
6743.7642.4918.711.854.151447.80308.33413.9062.08203.255CYP
6843.7642.4918.711.854.15990.60308.33413.9085.89203.255CYP
6943.7642.4918.711.854.15685.80308.33413.9089.89203.255CYP
70156.5781.1018.111.142.781600.20223.30319.9043.61203.255CYP
71155.9881.0817.041.142.721905.51220.14317.2246.28203.255CYP
72156.9781.0817.041.162.763075.94220.14317.2236.49203.255CYP
73155.3781.2017.631.152.813073.40220.14317.2237.38203.255CYP
74156.5780.4918.291.222.951905.00223.72310.8152.51203.255CYP
75231.5781.2517.271.142.721829.05224.55321.4942.72203.255CYP
76231.9881.1317.481.142.822416.05223.30319.9038.94203.255CYP
77232.1881.1317.371.122.692997.20223.30319.9033.82203.255CYP
78230.5881.2518.441.232.942413.76227.78306.9548.06203.255CYP
79222.05114.2019.941.212.901906.78219.24307.9154.74203.255CYP
80222.83113.6919.461.213.002516.38244.04319.6353.85203.255CYP
81222.66114.0019.131.222.992518.66233.23311.2252.51203.255CYP
82153.9562.7925.370.800.001905.00242.00360.0021.80201.000CYP
83153.9562.8925.600.810.001600.20242.00360.0023.04201.000CYP
84152.0262.9725.570.800.001295.40242.00360.0023.62201.000CYP
85152.3049.2817.741.640.001905.00233.00360.0065.83208.000CYP
86178.2361.8524.621.630.001905.00233.00360.0075.39208.000CYP
87177.9361.6224.771.640.001600.20233.00360.0075.84208.000CYP
88176.7361.9825.711.640.001295.40233.00360.0080.29208.000CYP
8990.0050.0020.003.153.151915.00350.00471.00119.00219.800CYP
9090.0050.0020.003.153.151915.00350.00471.00118.00219.800CYP
9190.0050.0020.003.153.151915.00350.00471.00113.00219.800CYP
9292.0037.0012.001.912.40276.00358.00450.00192.90203.255CYR
93151.0034.008.000.932.40453.00309.00360.0038.20203.255CYR
9492.0037.0011.002.142.40276.00358.00450.00193.60203.255CYR
9592.0037.0012.002.152.40276.00358.00450.00194.60203.255CYR
9692.0037.0011.002.142.40276.00358.00450.00213.60203.255CYR
97152.0035.008.000.892.40456.00309.00360.0043.30203.255CYR
98152.0035.008.000.872.40456.00309.00360.0042.60203.255CYR
99152.0034.008.000.912.40456.00309.00360.0043.30203.255CYR
10092.0037.0012.001.922.40276.00366.00450.00165.40203.255CYR
10192.0036.0012.001.912.40276.00366.00450.00184.00203.255CYR
10292.0037.0012.001.912.40276.00366.00450.00182.90203.255CYR
10392.0037.0012.001.922.40276.00366.00450.00158.80203.255CYR
10492.0037.0012.001.912.40276.00366.00450.00182.60203.255CYR
105152.0035.008.000.902.40456.00302.00360.0040.20203.255CYR
106152.0035.008.000.892.40456.00302.00360.0039.60203.255CYR
107152.0035.008.000.892.40456.00302.00360.0037.00203.255CYR
108152.0035.008.000.892.40456.00302.00360.0038.20203.255CYR
109152.0035.008.000.892.40456.00302.00360.0041.00203.255CYR
11085.8056.0015.001.902.901080.00213.00360.0066.71210.000CNP
11185.6057.2016.401.902.901080.00213.00360.0067.69210.000CNP
11286.2055.4017.001.902.902000.00213.00360.0051.99210.000CNP
11387.2055.5017.001.752.602000.00213.00360.0049.05210.000CNP
11496.0065.5020.001.752.601480.00213.00360.0069.65210.000CNP
11594.0065.8020.001.752.601480.00213.00360.0071.61210.000CNP
11699.8064.5019.801.852.802000.00213.00360.0064.75210.000CNP
11799.0066.5020.501.902.902000.00213.00360.0069.65210.000CNP
11896.0072.0021.203.004.501120.00211.00360.00156.96210.000CNP
11997.7070.3022.103.004.502000.00211.00360.00123.61210.000CNP
12097.5070.0021.603.004.502000.00211.00360.00130.47210.000CNP
121136.5055.5024.503.004.501700.00211.00360.00186.39210.000CNP
122121.0083.2025.003.004.501700.00211.00360.00167.75210.000CNP
123121.8082.7025.203.004.501700.00211.00360.00150.09210.000CNP
124119.3085.5025.103.004.502000.00211.00360.00143.23210.000CNP
125121.3084.6025.603.004.502000.00211.00360.00154.02210.000CNP
126121.0086.1025.501.902.902000.00213.00360.0094.18210.000CNP
127121.0086.1025.501.902.902000.00213.00360.0096.14210.000CNP
12882.5057.0016.001.802.70295.00213.00360.0077.50210.000SCNP
12982.0057.0017.001.802.70296.00213.00360.0077.50210.000SCNP
13097.0066.0021.001.852.80350.00213.00360.0087.31210.000SCNP
13195.0067.0021.001.902.90350.00213.00360.0096.14210.000SCNP
13297.0070.0023.003.004.50348.00211.00360.00200.12210.000SCNP
13397.0070.0023.003.004.50348.00211.00360.00192.28210.000SCNP
134114.0084.0027.003.104.70397.00211.00360.00214.84210.000SCNP
135115.0088.0026.003.104.70399.00211.00360.00213.86210.000SCNP
136121.0088.0026.003.104.70400.00211.00360.00208.95210.000SCNP
137120.0087.0026.001.902.90400.00213.00360.00119.68210.000SCNP
138123.0086.0025.001.902.90400.00213.00360.00117.72210.000SCNP
13985.7034.909.501.603.20200.00340.60443.6084.55205.000SCYR
14085.7034.909.501.603.20200.00340.60443.6084.70205.000SCYR
14185.7034.909.501.603.20200.00340.60443.6086.75205.000SCYR
142147.2836.1810.091.292.58265.00262.20336.0054.30210.000CYR
143147.2836.1810.091.292.58265.00262.20336.0054.40210.000CYR
144147.2836.1810.091.292.58265.00262.20336.0053.25210.000CYR
145300.46101.5620.230.631.502690.00391.00482.0016.00216.000CNR
146300.98101.9821.240.641.502690.00395.00490.0016.20216.000CNR
147300.48101.7820.640.641.502690.00398.00483.0015.50216.000CNR
148301.30101.5020.850.651.502690.00288.00384.0014.50216.000CNR
149301.68102.3821.140.941.502690.00464.00552.0036.90216.000CNR
150301.58102.3820.940.941.502690.00460.00545.0035.00216.000CNR
151301.18102.4820.540.941.502690.00460.00546.0037.10216.000CNR
152300.22101.5220.460.961.502690.00475.00549.0034.50216.000CNR
153302.20102.9021.751.451.502690.00382.00463.0076.60216.000CNR
154302.96102.8621.631.431.502690.00379.00466.0070.00216.000CNR
155302.56102.5622.181.381.502690.00395.00467.0071.30216.000CNR
156303.38103.1824.791.391.502690.00393.00478.0073.00216.000CNR
157302.00103.6025.001.401.502690.00380.00470.0057.00216.000CNR
158302.18102.5822.491.391.502690.00381.00474.0069.00216.000CNR
15982.6041.639.861.222.59303.53225.92300.2746.28203.255CYP
160116.6941.509.881.222.64304.29225.92300.2744.72203.255CYP
161154.1842.069.651.223.09278.38225.92300.2745.17203.255SCYP
16279.8681.7117.221.201.87457.71230.06315.0158.74203.255SCYP
16379.4081.5817.271.211.76457.71230.06315.0160.52203.255SCYP
164151.4181.9417.301.201.97456.69230.06315.0157.85203.255SCYP
165150.8382.2516.921.201.93456.69230.06315.0160.52203.255SCYP
166228.1981.6417.501.201.87559.31230.06315.0156.96203.255SCYP
167227.8181.8617.551.192.14685.04230.06315.0156.96203.255CYP
168299.9781.8617.301.191.98558.80230.06315.0156.96203.255SCYP
169300.7482.0417.631.192.41913.64238.60321.4253.40203.255CYP
170299.7281.7917.321.201.98558.04230.06315.0156.07203.255SCYP
17180.72114.1019.131.142.52647.70223.30319.9051.18203.255SCYP
17280.16114.2019.201.142.67647.19223.30319.9052.51203.255SCYP
173114.88114.1019.231.132.65646.94224.55321.4952.96203.255SCYP
174114.50114.0019.251.142.57647.19224.55321.4953.40203.255SCYP
175281.18145.3634.211.552.20891.29412.02546.72138.62203.255SCYP
176281.43146.1533.401.552.41891.54412.02546.72139.73203.255SCYP
177224.23113.7919.351.222.94646.94368.06490.0967.64203.255SCYP
178223.65115.0918.951.282.94647.70198.64290.0761.41203.255SCYP
179223.24114.8819.511.293.08647.95198.64290.0764.97203.255SCYP
180331.72114.8819.051.272.94762.00198.64290.0760.52203.255SCYP
181330.71115.3919.051.282.94971.30203.19291.3862.30203.255CYP
182440.94113.6919.181.242.77761.75201.19290.4155.63203.255CYP
183441.45113.6919.101.252.561295.15202.08291.2449.84203.255CYP
184114.71113.7919.761.232.992518.66236.60313.5648.95203.255CYP
185152.4050.8012.701.221.22457.20293.24449.9955.18203.255CYP
186146.0563.5025.402.952.95438.15274.70360.00231.40203.255SCYP
187127.0063.5012.702.032.03381.00293.24449.99113.48203.255SCYP
188101.6057.159.532.032.03304.80245.42360.00106.36203.255SCYP
18988.9050.809.532.032.03266.70304.06449.99109.47203.255SCYP
190101.6044.4515.883.253.25304.80317.90449.99226.06203.255SCYP
19176.2038.109.533.253.25228.60324.11449.99159.76203.255SCYP
19269.8525.4012.701.631.63209.55327.21449.9964.53203.255CYP
19369.8525.4012.702.032.03209.55330.31449.9986.33203.255CYP
19447.6322.236.351.221.22142.88347.26449.9934.09203.255SCYP
19544.4525.406.351.221.22133.35376.61449.9941.03203.255SCYP
196254.0088.9019.051.221.22762.00183.69360.0042.19203.255CYP
197203.20101.6019.051.221.22609.60186.72360.0045.39203.255SCYP
198152.40101.6019.051.221.22457.20191.40360.0041.21203.255SCYP
199101.60101.6019.051.221.22304.80183.69360.0041.96203.255SCYP
20050.8050.809.531.221.22152.40192.92360.0032.31203.255SCYP
20184.0027.007.490.560.48350.01301.58449.9914.42203.255CYP
20281.9926.495.740.560.48270.00301.58449.9912.19203.255CYP
20329.3927.208.200.560.48267.97301.58449.9914.60203.255CYP
20430.1027.615.590.560.48204.98301.58449.9913.39203.255CYP
205152.70153.1935.991.502.01499.87226.82360.0088.56203.255SCYP
206152.81152.9154.511.502.01499.87226.82360.00100.13203.255SCYP
207152.81152.9119.611.502.01499.87226.82360.0093.01203.255SCYP
208152.5063.7031.091.502.01499.87226.82360.0088.11203.255SCYP
209152.5063.7010.011.502.01499.87226.82360.0070.31203.255CYP
210152.5063.7016.611.502.01499.87226.82360.0075.65203.255CYP
211151.0030.7810.011.502.01299.97226.82360.0049.84203.255CYP
212151.0030.784.291.502.01299.97226.82360.0043.52203.255CYP
213148.7048.8519.390.971.96449.10288.70360.0043.99202.500CYP
214148.7073.7119.780.972.26449.50288.70360.0041.88202.500SCYP
215102.7053.0013.203.003.50300.00417.00516.75230.00203.255SCYR
216102.7053.0013.203.003.50300.00417.00516.75229.00203.255SCYR
217102.7053.0013.203.003.50300.00417.00516.75230.00203.255SCYR
218102.7053.0013.203.003.50300.00417.00516.75243.00203.255SCYR
219102.7053.0013.203.003.50300.00417.00516.75241.00203.255SCYR
220102.7053.0013.203.003.50300.00417.00516.75236.00203.255SCYR
221102.7053.0013.203.003.50300.00417.00516.75207.00203.255SCYR
222102.7053.0013.203.003.50300.00417.00516.75233.00203.255SCYR
223102.7053.0013.203.003.50300.00417.00516.75229.00203.255SCYR
224102.7053.0013.203.003.50300.00417.00516.75238.00203.255SCYR
22598.4052.0016.001.202.80360.00192.90344.5040.70203.255SCYP
22698.4052.0016.001.202.80360.00192.90344.5042.60203.255SCYP
22798.4052.0016.001.202.80360.00192.90344.5043.20203.255SCYP
22898.4052.0016.001.202.80360.00192.90344.5040.80203.255SCYP
22998.4052.0016.001.202.80360.00192.90344.5039.10203.255SCYP
23098.4052.0016.001.202.80360.00192.90344.5041.90203.255SCYP
23198.4052.0016.001.202.80360.00192.90344.5042.70203.255SCYP
23298.4052.0016.001.202.80360.00192.90344.5042.50203.255SCYP
23397.6052.0016.000.802.00360.00171.30310.0519.70203.255SCYP
23497.6052.0016.000.802.00360.00171.30310.0521.00203.255SCYP
23597.6052.0016.000.802.00360.00171.30310.0520.30203.255SCYP
23697.6052.0016.000.802.00360.00171.30310.0520.70203.255SCYP
23797.6052.0016.000.802.00360.00171.30310.0519.60203.255SCYP
23897.6052.0016.000.802.00360.00171.30310.0520.90203.255SCYP
23997.6052.0016.000.802.00360.00171.30310.0521.10203.255SCYP
24097.6052.0016.000.802.00360.00171.30310.0520.30203.255SCYP
241102.7053.0013.203.003.50300.00417.00516.75239.00203.255SCYR
242102.7053.0013.203.003.50300.00417.00516.75236.00203.255SCYR
243102.7053.0013.203.003.50300.00417.00516.75236.00203.255SCYR
244102.7053.0013.203.003.50300.00417.00516.75234.00203.255SCYR
24598.4052.0016.001.202.80360.00192.90344.5041.70203.255SCYP
24698.4052.0016.001.202.80360.00192.90344.5041.70203.255SCYP
24798.4052.0016.001.202.80360.00192.90344.5041.80203.255SCYP
24897.6052.0016.000.802.00360.00171.30310.0520.40203.255SCYP
24997.6052.0016.000.802.00360.00171.30310.0520.80203.255SCYP
25097.6052.0016.000.802.00360.00171.30310.0520.30203.255SCYP
25143.7642.4918.711.854.15304.80308.33413.4094.25203.255SCYP
25243.7642.4918.711.854.15304.80308.33413.4092.47203.255SCYP
25343.7642.4918.711.854.15304.80308.33413.40101.68203.255SCYP
25443.7642.4918.711.854.15304.80330.10421.39105.47203.255SCYR
25543.7642.4918.711.854.15304.80330.10421.3998.79203.255SCYR
25644.2042.9318.922.293.94177.80304.95429.04133.50203.255SCYP
25744.2042.9318.922.293.94177.80304.95429.04125.94203.255SCYP
25844.2042.9318.922.293.94304.80304.95429.04127.27203.255SCYP
25944.2042.9318.922.293.94304.80304.95429.04123.27203.255SCYP
26044.2042.9318.922.293.94304.80305.02434.35137.06203.255SCYR
26144.2042.9318.922.293.94304.80305.02434.35125.94203.255SCYR
262300.0075.0020.002.003.00500.00242.79344.88119.31200.766SCYR
263300.0075.0020.002.003.00750.00242.79344.88114.08200.766CYR
264300.0075.0020.002.003.001000.00242.79344.88109.86200.766CYR
265300.0075.0020.002.003.001250.00242.79344.88114.96200.766CYR
266300.0075.0020.002.503.75500.00282.26372.20159.79203.058SCYR
267300.0075.0020.002.503.75750.00282.26372.20166.97203.058CYR
268300.0075.0020.002.503.751000.00282.26372.20182.36203.058CYR
269300.0075.0020.002.503.751250.00282.26372.20164.73203.058CYR
270300.0075.0020.003.004.50500.00258.94350.42156.14206.308SCYR
271300.0075.0020.003.004.50750.00258.94350.42161.37206.308CYR
272300.0075.0020.003.004.501000.00258.94350.42178.18206.308CYR
273300.0075.0020.003.004.501250.00258.94350.42146.37206.308CYR

Dimensions of lipped channel sections. W—web depth in mm. F—flange width in mm. L—Lip depth in mm. T—thickness in mm. R—corner radius (inner) in mm. Lipped channel section characteristics. Forming methods. P—press brake methods. R—cold roll forming method. PTest—test capacity of section in kN. Material properties. Fy—yield strength of steel in N/mm2. Fu—ultimate strength of steel in N/mm2. E—modulus of elasticity in N/mm2. Compression member characteristics. Type of comp. member. C—column, SC—Stub column. Torsion allowed, Y—yes, N—no. Length in mm—centre to centre length for pinned end columns/stub columns.