Numerical Analysis of Single-Angle Steel Member Under Tension Force with Different End Deformations

Ahmed M. Sayed


Steel members with a single-angle cross-section are widely used, but some of their behaviours under loads are not considered by design codes, necessitating related research. This study is carried out on fifty steel single-angle members focused on the stress distribution behaviour and the ultimate axial load capacities under different end deformations through 3-dimensional Finite Element (FE) simulations and comparison with previous experimental findings. FE modeling is capable of modeling steel structures with high accuracy. Based on the results, the length of the angle affects neither the shape of the stress distribution nor the ultimate load capacity of the element. The end deformations affect the stress distribution on the member angle cross-section, including the ultimate load capacity. The end deformations which restricted deformations in the two directions perpendicular to the load axis are found to be optimal, with an average increase in load capacity by a factor of 1.96 for an equal angle and 2.21 for an unequal angle compared with the capacities calculated for single angles with deformations allowed in all directions. The appearance of a compression zone on the unconnected angle leg reduces the ultimate load capacity. The current design code (ANSI/AISC-360) can be adopted to calculate the ultimate load in the case of no deformation in the y-axis direction and no deformations in the x- and y-axis directions where the mean ratios of PNum/Pcode are 1.24 and 1.34 respectively. However, the code does not agree with the end deformations of free deformations and no deformation in the x-axis direction for either equal or unequal angles where the mean ratios of PNum/Pcode are 0.64 and 0.79 respectively, which is unsafe.


Single Angle; End Deformations; FE Simulation; Tension Force; Stress Distribution.


Može, Primož, Luis-Guy Cajot, Franc Sinur, Klemen Rejec, and Darko Beg. “Residual Stress Distribution of Large Steel Equal Leg Angles.” Engineering Structures 71 (July 2014): 35–47. doi:10.1016/j.engstruct.2014.03.040.

Kirkham W.J., and Miller T.H. “Examination of AISC LRFD Shear Lag Design Provisions.” AISC Engineering Journal 37, no. 3 (2000):83–98.

Teh, Lip H., and Benoit P. Gilbert. “Net Section Tension Capacity of Cold-Reduced Sheet Steel Angle Braces Bolted at One Leg.” Journal of Structural Engineering 139, no. 3 (March 2013): 328–337. doi:10.1061/(asce)st.1943-541x.0000675.

Charalampakis, A.E. “Full Plastic Capacity of Equal Angle Sections under Biaxial Bending and Normal Force.” Engineering Structures 33, no. 6 (June 2011): 2085–2090. doi:10.1016/j.engstruct.2011.02.044.

Kuralkar S.D., and Oswal S.S. “Biaxial Bending of Steel Angle Section.” International Journal of Engineering Research 5, no. 1 (2016):232–234.

Trahair N.S. “Moment Capacities of Steel Angle Sections.” Journal of Structural Engineering 128, no. 11 (2002):1387–1393. doi:10.1061/(ASCE)0733-9445(2002)128:11(1387).

Zhu,, H.T., Michael C.H. Yam, Angus C.C. Lam, and V.P. Iu. “The Shear Lag Effects on Welded Steel Single Angle Tension Members.” Journal of Constructional Steel Research 65, no. 5 (May 2009): 1171–1186. doi:10.1016/j.jcsr.2008.10.004.

Kitipornchai, S., and H.W. Lee. “Inelastic Buckling of Single-Angle, Tee and Double-Angle Struts.” Journal of Constructional Steel Research 6, no. 1 (January 1986): 3–20. doi:10.1016/0143-974x(86)90018-0.

Shi, Gang, Wen-jing Zhou, Yu Bai, and Zhao Liu. “Local Buckling of Steel Equal Angle Members with Normal and High Strengths.” International Journal of Steel Structures 14, no. 3 (September 2014): 447–455. doi:10.1007/s13296-014-3002-0.

Epstein, H.I., and R. Chamarajanagar. “Finite Element Studies for Correlation with Block Shear Tests.” Computers & Structures 61, no. 5 (December 1996): 967–974. doi:10.1016/0045-7949(96)00083-1..

Barth, K.E., J.G. Orbison, and R. Nukala. “Behavior of Steel Tension Members Subjected to Uniaxial Loading.” Journal of Constructional Steel Research 58, no. 5–8 (January 2002): 1103–1120. doi:10.1016/s0143-974x(01)00082-7.

Makesh A.P., and Arivalagan S. “Experimental and Analytical Study on Behaviour of Cold Formed Steel Using Angle Section under Tension Members.” International Journal of Engineering Technologies and Management Research 5, no. 1 (2018):20–28. doi: 10.5281/zenodo.1157620.

Epstein H.I., and DAiuto C.L.“Using Moment and Axial Interaction Equations to Account for Moment and Shear Lag Effects in Tension Members.” Engineering Journal 39, no. 2 (2002):91–99.

Liu Y., and Chantel S. “Experimental Study of Steel Single Unequal-Leg Angles under Eccentric Compression.” Journal of Constructional Steel Research 67, no. 6 (2011):919–28. doi:10.1016/j.jcsr.2011.02.005.

Torabipour, Ahmadreza, and M. R. Shiravand. “Development Behavior for Post-Tensioned Self-Centering Steel Connection under Cyclic Loading.” Civil Engineering Journal 3, no. 3 (March 30, 2017): 152–159. doi:10.28991/cej-2017-00000081.

Kulak G.L., and Wu E.Y. “Shear Lag in Bolted Angle Tension Members.” Journal of Structural Engineering 123, no.9 (1997):1144–1152. doi: 10.1061/(ASCE)0733-9445(1997)123:9(1144).

Trahair N.S. “Biaxial Bending of Steel Angle Section Beams.” Journal of Structural Engineering, 130, no. 4 (2004):554–561. doi: 10.1061/(ASCE)0733-9445(2004)130:4(554).

Priya C.B., Keerthana M., Verma M., and Banjara N.K. “Design of Steel Channel Tension Members-Proposal to IS 800:2007.” Journal of Structural Engineering 38, no. 2 (2011):122–130.

Gupta M., and Gupta L.M. “Evaluation of Stress Distribution in Bolted Steel Angles under Tension.” Electronic Journal of Structural Engineering, 4, (2004):17–25.

Hussain, A., Yao-Peng Liu, and Siu-Lai Chan. “Finite Element Modeling and Design of Single Angle Member under Bi-Axial Bending.” Structures 16 (November 2018): 373–389. doi:10.1016/j.istruc.2018.11.001.

Sayed, Ahmed M., and Hesham M. Diab. “Modeling of the Axial Load Capacity of RC Columns Strengthened with Steel Jacketing Under Preloading Based on FE Simulation.” Modelling and Simulation in Engineering 2019 (March 4, 2019): 1–8. doi:10.1155/2019/8653247.

Sayed, Ahmed M. “Numerical Analysis of the Perforated Steel Sheets under Uni-Axial Tensile Force.” Metals 9, no. 6 (May 31, 2019): 632. doi:10.3390/met9060632.

ANSI/AISC-360. “Specification for Structural Steel Buildings.” ANSI/AISC 360-16, Chicago (2016).

British Standards Institution (BSI). BS EN 1993-1-1: Eurocode 3: “Design of Steel Structures Part 1-1: General Rules and Rules for Building.” London: BSI. (2005).

Standards Australia (SA) “Steel Structures.” AS 4100-1998, Sydney, Australia (1998).

ANSYS User’s Manual, Version 15 “Swanson Analysis Systems.” Inc., Cannonsburg, PA, USA (2015).

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DOI: 10.28991/cej-2020-03091564


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