This book covers the essential topics for a second-level course
in strength of materials or mechanics of materials, with an
emphasis on techniques that are useful for mechanical design.
Design typically involves an initial conceptual stage during which
many options are considered. At this stage, quick approximate
analytical methods are crucial in determining which of the initial
proposals are feasible. The ideal would be to get within 30% with a
few lines of calculation. The designer also needs to develop
experience as to the kinds of features in the geometry or the
loading that are most likely to lead to critical conditions.
With this in mind, the author tries wherever possible to give a
physical and even an intuitive interpretation to the problems under
investigation. For example, students are encouraged to estimate the
location of weak and strong bending axes and the resulting neutral
axis of bending before performing calculations, and the author
discusses ways of getting good accuracy with a simple one degree of
freedom Rayleigh-Ritz approximation. Students are also encouraged
to develop a feeling for structural deformation by performing
simple experiments in their outside environment, such as estimating
the radius to which an initially straight bar can be bent without
producing permanent deformation, or convincing themselves of the
dramatic difference between torsional and bending stiffness for a
thin-walled open beam section by trying to bend and then twist a
structural steel beam by hand-applied loads at one end.
In choosing dimensions for mechanical components, designers will
expect to be guided by criteria of minimum weight, which with
elementary calculations, generally leads to a thin-walled structure
as an optimal solution. This consideration motivates the emphasis
on thin-walled structures, but also demands that students be
introduced to the limits imposed by structural instability.
Emphasis is also placed on the effect of manufacturing errors on
such highly-designed structures - for example, the effect of load
misalignment on a beam with a large ratio between principal
stiffness and the large magnification of initial alignment or
loading errors in a strut below, but not too far below the buckling
load.
Additional material can be found on http:
//extras.springer.com/.
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