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Category Archives: Beam Bending
Reinforced Concrete Section Analysis – 3
Previous post -1 Previous post -2 The theory presented in the previous 2 posts in this series has been incorporated into an Excel UDF, allowing concrete and reinforcement stresses and strains to be evaluated quickly and easily for reinforced and … Continue reading
Posted in Beam Bending, Excel, Newton, UDFs
Tagged Cubic, Plot Shapes, Polynomial, Quadratic, Quartic, Reinforced Concrete, Section Analysis, UDF, VBA
8 Comments
Reinforced Concrete Section Analysis – 2
Previous Post Pseudo-code for elastic analysis of a layered reinforced concrete section under eccentric axial load and pre-stress load: Read data ‘For each reinforcement layer: Find area, first moment of area about top ,and depth of centroid. Find total reinforcement … 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
Reinforced Concrete Section Analysis – 1
Increased yield strengths of reinforcing steels have increased the importance of the Serviceability Limit State in reinforced concrete design, with SLS reinforcement stresses, crack widths, or deflections often controlling the design. Elastic analysis of a rectangular section under pure bending can … Continue reading
Posted in Beam Bending, Newton
4 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