TITLE:
Simulation of Steel Reinforcement on the Nonlinear Behaviour of Slender Glulam Beam Columns by Using the Newton-Raphson Method
AUTHORS:
Martial Ourmama, Marcelline Blanche Manjia, Edmond Dawak Fezeu
KEYWORDS:
Nonlinear Analysis, Newton-Raphson Method, Maximum Deflection, Bolted Wood Connection, Hardwood Species
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.14 No.2,
February
9,
2024
ABSTRACT: The current theory in
NF EN 1995-1-1/NA of Eurocode 5, which is based on maximum deflection, has been
investigated on softwoods. Therefore, this theory is not adapted for slender
glulam beam columns made of tropical hardwood species from the Congo Basin.
This maximum deflection is caused by a set
of loads applied to the structure. However, Eurocode 5 doesn’t provide how to
predict this deflection in case of long-term load for such structures. This
can be done by studying load-displacement (P-Δ) behaviour of these structures
while taking into account second order effects. To reach this goal, a nonlinear
analysis has been performed on a three-dimensional beam column embedded on both
ends. Since conducting experimental investigations on large span structural
products is time-consuming and expensive especially in developing countries, a
numerical model has been implemented using the Newton-Raphson method to predict
load-displacement (P-Δ) curve on a slender glulam beam column made of tropical
hardwood species. On one hand, the beam has been analyzed without wood
connection. On the other hand, the beam has been analyzed with a bolted wood
connection and a slotted-in steel plate. The load cases considered include
self-weight and a uniformly applied long-term load. Combinations of
serviceability limit states (SLS) and ultimate limit states (ULS) have also
been considered, among other factors. A finite-element software RFEM 5 has been
used to implement the model. The results showed that the use of steel can
reduce displacement by 20.96%. Additionally, compared to the maximum deflection
provided by Eurocode 5 for softwoods, hardwoods can exhibit an increasing rate
of 85.63%. By harnessing the plastic resistance of steel, the bending
resistance of wood can be increased by 32.94%.