Very often, one has to do some construction himself. (Building a door for
a fence, building a house, a shed, a shelf, a tree house for his kids ....)
If he is ignorant of the methods to compute stresses, he would be unsure
of how thick the material should be.
Hence knowledge in stress calculation is necessary for a man's up-building.
Moreover, the method is NOT difficult at all.
In the following few sheets, I am going to explain Bow's method in finding stresses.
Even if you are not going to learn Bow's method, and you already know the triangle of forces in statics, reading the first few sheets would already enable you to do the calculations.
The following concerns with "BEAM", etc.
The following are the programs, test data, test result for the program described
in sheet 11
Do not try to understand the working of the program. It is MUCH FASTER to write your own program than try to figure out the logic of a program. They are given here so that you may pick up some useful programming habits and skills.
If, after reading these sheets, you feel interested in structural mechanics, I would recommend you the books by S. P. Timoshenko
If LORD will continue to use me, I will write about Finite Element Method in
stress analysis, in the future. In the meantime, I hope you will read
Serge Lang's book "Linear Algebra",
because linear algebra (matrix, eigenvalue
problem, symmetric matrix, ...) would enable us to comprehend the numerical
methods used in Finite Element, and Serge Lang wrote really execellent books.
Moreover, in Serge Lang's book, he explained the decomposition of a matrix into Jordan Canonical form, and this is immensely important, if one is to understand System of Ordinary Differential Equations with constant coefficients (as well as system of DIFFERENCE equation ,not differential equations). And with it, will open the way to understand "dynamical systems", the way that many things develop with time.