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Tag Archives: Beam Bending
Reinforced Concrete Section Analysis – 6; Ultimate Limit State
The previous post in this series included Excel User Defined Functions using closed form solutions to find the ultimate bending and axial load capacity of reinforced or prestressed concrete sections of any complex shape defined by rectangular or horizontal layers. The … Continue reading
Posted in Beam Bending, Concrete, Newton
Tagged Beam Bending, Prestressed concrete, Reinforced Concrete, Ultimate capacity
6 Comments
Reinforced Concrete Section Analysis – 5; Ultimate Limit State
Previous posts in this series have looked at the analysis of beams where the steel stress is within the elastic range, and the concrete stress is sufficiently low that the assumption of linear elastic behaviour in compression is a reasonable approximation. … Continue reading
Posted in Beam Bending, Excel, UDFs
Tagged Beam Bending, Excel, Prestressed concrete, Reinforced Concrete, UDF, ULS, Ultimate capacity, VBA
5 Comments
The history of the theory of beam bending – Part 3
In the previous post in this series I took the story up to 1773 and the work of Coulomb, skipping over the work of the Bernoulli family and Euler, which in the modern context was certainly the most important advance in … Continue reading
The history of the theory of beam bending – Part 2
Before moving on from Galileo, Mariotte and Parent, let’s examine a peculiarity arising from the testing of their formulas. Jacques Heyman in “The Science of Structural Engineering” states: “… then the new calculation of bending strength [by Parent] gave a … Continue reading
Posted in Beam Bending, Newton
Tagged Antoine Parent, Beam Bending, Codex Madrid, Coulomb, Edme Mariotte, Galileo Galilei, history, Leonardo da Vinci
3 Comments
The history of the theory of beam bending – Part 1
The theory of the flexural strength and stiffness of beams is now attributed to Bernoulli and Euler, but developed over almost 400 years, with several twists, turns and dead ends on the way. Galileo Galilei is often credited with the first … Continue reading
Posted in Beam Bending, Newton
Tagged Antoine Parent, Beam Bending, Codex Madrid, Edme Mariotte, Galileo Galilei, history, Leonardo da Vinci, theory
10 Comments