Category 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 , , , | 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 , , , , , , , | 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

Posted in Beam Bending, Newton | Tagged , , , | 5 Comments

Reinforced Concrete Section Analysis – 4

Previous post The spreadsheet presented in the previous post in this series uses the basic equation given below to find the location of the neutral axis: For a cross section with any applied axial load at eccentricity e, measured from … Continue reading

Posted in Beam Bending, Excel, Newton, UDFs, Uncategorized | Tagged , , , , | 1 Comment

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 , , , , , , , , | 8 Comments