Research Article
Performance Evaluation of Timber Beams Clamped with Plates and Varying Reinforcement Diameter Under Mechanical Loading
Ibrahim Abdulrazaq Olayinka*
,
Samuel Ogiemile,
Wasiu John
Issue:
Volume 3, Issue 2, June 2026
Pages:
48-60
Received:
22 April 2026
Accepted:
22 July 2026
Published:
10 August 2026
Abstract: Timber, while a sustainable and widely available construction material, is inherently weaker in tension compared to steel or concrete. This study experimentally investigates the strengthening of timber beams using steel bar reinforcement and clamping plates under mechanical loading. The performance was evaluated by testing beams with 8 mm, 10 mm, and 12 mm diameter steel bars against an unreinforced control. The results demonstrate significant improvements in all key mechanical properties. In flexural strength, the 12 mm reinforced beam achieved a peak of 2.4409 N/mm2, a 15.6% increase over the unreinforced baseline of 2.112 N/mm2. Tensile strength showed the most dramatic gain, with the failure load surging from 14.045 kN for the 8 mm bar to 53.818 kN for the 12 mm bar with a 283% increase. Compressive strength also improved, with the 12 mm reinforced specimen reaching 22.187 N/mm2 compared to 16.393 N/mm2 for the control. A key finding was the trend of diminishing returns; the flexural strength difference between the 10 mm and 12 mm bars was only ~0.86%, indicating a performance plateau. Furthermore, increased reinforcement led to a stiffer response, reducing the time to failure in tension from 36.67 seconds (8 mm) to 32.04 seconds (12 mm). The use of clamped steel plates was critical in facilitating efficient load transfer and preventing premature failure. It is concluded that while larger reinforcement diameters enhance performance, a 10 mm bar offers the most cost-effective and practical solution for optimal strength gains in reinforced timber beam design.
Abstract: Timber, while a sustainable and widely available construction material, is inherently weaker in tension compared to steel or concrete. This study experimentally investigates the strengthening of timber beams using steel bar reinforcement and clamping plates under mechanical loading. The performance was evaluated by testing beams with 8 mm, 10 mm, a...
Show More
Research Article
Lindemann’s Ratio Pressure Dependence of the Melting Temperature for Some Metals in Geothermal at High Pressure and High Temperature
Nand Kishor*
,
Amar Kumar
Issue:
Volume 3, Issue 2, June 2026
Pages:
61-70
Received:
21 March 2026
Accepted:
9 April 2026
Published:
17 August 2026
DOI:
10.11648/j.wjmst.20260302.12
Downloads:
Views:
Abstract: The study of melting behavior under extreme conditions of pressure and temperature is essential for understanding the physical properties of metals within Earth’s interior and industrial high-pressure applications. This research investigates the pressure dependence of the melting temperature for selected metals using Lindemann’s melting law, which establishes a relationship between vibrational amplitudes of atomic lattices and melting phenomena. The Lindemann’s ratio, defined as the critical amplitude of atomic vibrations relative to interatomic spacing, serves as the foundation for evaluating how pressure influences the melting process. In this study, the melting curves of metals such as iron (Fe), copper (Cu), aluminum (Al), and magnesium (Mg) are theoretically modeled under high-pressure conditions. The model incorporates modifications to Lindemann’s law to account for the anharmonic effects and compressional behavior of lattice parameters at elevated pressures. Using the pressure-dependent Grüneisen parameter and the Mie Grüneisen equation of state, the variation of melting temperature with pressure is derived and analyzed. The results reveal that melting temperature increases nonlinearly with pressure for all investigated metals, consistent with experimental and geophysical observations. Iron, a major component of Earth’s core, exhibits the highest melting slope due to its dense atomic packing and strong interatomic bonding. Conversely, metals with lower bulk moduli, such as magnesium, show a relatively moderate increase in melting temperature. The findings provide critical insights into the thermodynamic stability of metals under extreme conditions, supporting applications in geothermal studies, planetary modeling, and materials science. Overall, this work demonstrates that Lindemann’s ratio remains a reliable theoretical framework for predicting melting behavior at high pressures, highlighting the importance of vibrational dynamics in understanding phase stability and the melting mechanisms of metals under extreme environments.
Abstract: The study of melting behavior under extreme conditions of pressure and temperature is essential for understanding the physical properties of metals within Earth’s interior and industrial high-pressure applications. This research investigates the pressure dependence of the melting temperature for selected metals using Lindemann’s melting law, which ...
Show More