Nonlinear analytical model of a two-layer wooden beam in a heritage structure

Abstract Existing heritage wooden structures in China have a common structural component which composes of layers of wooden beam to resist the vertical applied load. The performance of this type of component under load is not clear particularly under the seismic effect. This paper presents a nonlinear analytical model of a two-layer wooden beam system based on Euler–Bernoulli beam theory. The proposed model takes into account the effect of the friction–slip–shear between the two individual layers with a specified range of slip. There are four deformation scenarios to provide the load resistance based on the state of friction between the two layers and the state of shear at the connector (tenon). The behavior of the tenon with the friction–slip–shear mechanism is significant to the mechanical behavior of the two-layer beam system. This analytical study aims at evaluating the frictional stiffness of a two-layer wooden beam, and an implicit formulation on the frictional stiffness of the system is presented. Its effect on the lateral deformation when subjected to four kinds of loadings is studied. The hysteresis curve is then plotted for different kinds of pseudo-dynamic external loads to illustrate the energy dissipation capacity of this type of joint in Tibetan structures.

[1]  P. Pellicane,et al.  Modeling Load-Slip Behavior of Nailed Joints , 1992 .

[2]  Andrew W. Smyth,et al.  Generalized Masing Approach to Modeling Hysteretic Deteriorating Behavior , 2007 .

[3]  Dan L. Wheat,et al.  Nonlinear Analysis of Two‐Layered Wood Members with Interlayer Slip , 1994 .

[4]  R. Xu,et al.  Bending Solutions of the Timoshenko Partial-Interaction Composite Beams Using Euler-Bernoulli Solutions , 2013 .

[5]  Michael C. Griffith,et al.  Analysis of composite beams with partial shear interactions using a higher order beam theory , 2012 .

[6]  Ulf Arne Girhammar,et al.  Composite Beam-Columns with Interlayer Slip : Exact Analysis , 1993 .

[7]  Simon Schnabl,et al.  Numerical and experimental analysis of timber composite beams with interlayer slip , 2008 .

[8]  Krishna S. Naraine,et al.  Slip and Uplift Effects in Composite Beams , 1984 .

[9]  R. G. Slutter,et al.  Shear Strength of Stud Connectors in Lightweight and Normal-Weight Concrete , 1971, Engineering Journal.

[10]  Goran Turk,et al.  Analytical Solution of Two-Layer Beam Taking into account Interlayer Slip and Shear Deformation , 2007 .

[11]  Siu-Seong Law,et al.  Hybrid beam-column element with end frictional joints , 2003 .

[12]  C. S. Cai,et al.  Stiffness and capacity of steel–concrete composite beams with profiled sheeting , 2005 .

[13]  Nadia Cazarim da Silva Forti,et al.  Study of concrete–timber composite beams using an analytical approach based on the principle of virtual work and experimental results , 2013 .

[14]  Brian Uy,et al.  Time-dependent analysis of composite beams with continuous shear connection based on a space-exact stiffness matrix , 2010 .

[15]  Ulf Arne Girhammar,et al.  A simplified analysis method for composite beams with interlayer slip , 2009 .

[16]  Jianguo Nie,et al.  Steel-Concrete Composite Beams Considering Shear Slip Effects , 2003 .

[17]  Alfredo M. P. G. Dias,et al.  Analysis of the Nonlinear Behavior of Timber-Concrete Connections , 2012 .

[18]  Paolo Foraboschi,et al.  Analytical Solution of Two-Layer Beam Taking into Account Nonlinear Interlayer Slip , 2009 .

[19]  Alessandro Zona,et al.  Finite-Element Model Updating and Probabilistic Analysis of Timber-Concrete Composite Beams , 2012 .

[20]  E. P. Popov,et al.  Layered Beam Systems with Interlayer Slip , 1968 .

[21]  N. Challamel,et al.  Boundary-Layer Effect in Composite Beams with Interlayer Slip , 2011 .

[22]  Goran Turk,et al.  Non-linear analysis of two-layer timber beams considering interlayer slip and uplift , 2010 .