Bach’s Music and Newtonian Science:
A Composer in Search of the Foundations of
His Art
CHRISTOPH WOLFFhttp://www.bachnetwork.co.uk/ub2/wolff.pdf
Recent Comments
Difference of Opinion
Found whilst browsing:
about Difference of Opinion
The following articles, reprinted by agreement with IOP Publishing Ltd, formed a regular diary column in Scientific Computing World magazine betweeen September 1997 and February 2000.Difference of Opinion was co-written by Ray Girvan and Felix Grant under the pen names Babbage and Lovelace. The two personae do not represent the two authors; every diary entry was jointly written by us both, as a team. Rather, they represent different aspects of the computing world: loosely, Babbage is interested in hardware, and Lovelace in software and philosophical aspects.
Posted in Computing - general, Newton
Leave a comment
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 be solved easily with a quadratic equation, but for more complex shapes or combined bending and axial load an iterative process is normally used to determine the position of the neutral axis and section strains and stresses.
Click on: RC NA Depth for a paper presenting closed form solutions for any symmetrical reinforced concrete section, with any number of layers of reinforcement, under combined bending and axial load.
An extract from the paper is shown below:
Future posts will describe how these equations can be conveniently solved in an Excel VBA UDF, including calculation of concrete and reinforcement strains and stresses.
Posted in Beam Bending, Newton
4 Comments
Section Properties of Defined Shapes – Spreadsheet
Download section properties spreadsheet from:
http://www.interactiveds.com.au/software/Section%20Properties03.zip
http://www.interactiveds.com.au/software/Section%20Properties07.zip
-
Section properties for 35 defined shapes
-
Section properties from coordinates
-
Section properties UDF
Screen shots:
Posted in Excel, Maths, UDFs
Tagged Section Properties; Area; First Moment of Area; Second
29 Comments
Section Properties from Layers
An alternative to finding the section properties of irregular polygons from the coordinates of the corners is to divide the shape into rectangular or trapezoidal layers. The properties of the shape may then be found by simply summing the properties of each layer about a common axis. The applicable equations for rectangular and trapezoidal layers are:
Posted in Maths, Newton, Uncategorized
Tagged Area, first moment of area, layers, second moment of area, section properties
1 Comment
Newton Excel Bach, not (just) an Excel Blog 