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Analysis of structural concrete bar members based on secant stiffness methods

Al-Rumaithi Ayad, Fadhil Aqeel T., Salman Ban Fadhil

International Journal of Applied Mechanics and Engineering

2020

Vol. 25, no. 3

1--16

In this paper, the behavior of structural concrete linear bar members was studied using numerical model implemented in a computer program written in MATLAB. The numerical model is based on the modified version of the procedure developed by Oukaili. The model is based on real stress-strain diagrams of concrete and steel and their secant modulus of elasticity at different loading stages. The behavior presented by normal force-axial strain and bending moment-curvature relationships is studied by calculating the secant sectional stiffness of the member. Based on secant methods, this methodology can be easily implemented using an iterative procedure to solve non-linear equations. A comparison between numerical and experimental data, illustrated through the strain profiles, stress distribution, normal force-axial strain, and moment-curvature relationships, shows that the numerical model has good numerical accuracy and is capable of predicting the behavior of structural concrete members with different partially prestressing ratios at serviceability and ultimate loading stages.

Lap joints stiffness according to Eurocode EC3 and experimental investigations results

Wuwer W., Zamorowski J., Swierczyna S.

Archives of Civil and Mechanical Engineering

2012

Vol. 12, no. 1

95--104

Axial forces F in the lap joints connections are responsible for mutual displacements δ of connected walls (F=Kδ×δ), and bending moments M—their mutual rotations about angle φ (M=Sj×φ). Basing on formulae provided in EC3 concerning the coefficients of stiffness of the basic joint components, analogical formulae have been derived for sliding lap joints (Kδ) and rotary lap joints (Sj). Results achieved from stiffness formulae for various types of lap joints are compared with the experimental results of known models presented in literature. Our experimental results of single-cut joints made of blind-bolts of the type BOM R16 for cold-formed sections are also presented. Elements with those connections are simultaneously tested for bending and shear. Experimental investigations ended with the paths of static equilibrium (PSE) illustrated by M–φ diagrams and compared with three-segmental broken curves achieved from formulae proposal mentioned above. It can be stated the lap joints stiffness described by the three-segmental broken curves are accurate for the real behavior of discussed connections. Results of each experimental investigations are characterized with higher and lower dispersion. The broken curves situated under the paths of static equilibrium (PSE) are safe and reflect in satisfying way the behavior of bar structures with investigated joints.