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brian whatcott says:
I cannot do better than remind the readership of an excellent paperback -
actually two of them - written by (Professor) James E Gordon.
"Structures" and "The New Science of Strong Materials".
This is material more gripping than a mystery, more relevant than watching
"Titanic", and engaging to the attention.
Thanks, I'll definitely look these up.
There, one finds in a slim appendix, the royal road to reasonable stress
calculations - and I will echo his notes on Beam Theory here:
The basic formula for stress s at a point P distant y from the neutral axis
of a beam is
s/y = M/I = E/r
Where: s is tensile or compressive stress
y is distance from the neutral axis
I is second moment of area of cross-section about the neutral axis
E is Young's modulus ( or stiffness or inverse springiness, if you
will)
r is radius of curvature of the beam at the section we are examining.
M is 'moment' or force times perpendicular distance from section of
interest.
I hesitate to ask this before looking up the reference, but...
You speak of a neutral axis, where I naively would have expected a neutral
plane: tension above and compression below. Is it necessary to have
inhomogeneity 'across' the beam, i.e., along the axis perpendicular to both
the beam length and the bending force?
--
--James McLean