Member Stiffness Relations
A typical member stiffness relation has the following general form:
where
- m = member number m.
- = vector of member's characteristic forces, which are unknown internal forces.
- = member stiffness matrix which characterises the member's resistance against deformations.
- = vector of member's characteristic displacements or deformations.
- = vector of member's characteristic forces caused by external effects (such as known forces and temperature changes) applied to the member while ).
If are member deformations rather than absolute displacements, then are independent member forces, and in such case (1) can be inverted to yield the so-called member flexibility matrix, which is used in the flexibility method.
Read more about this topic: Direct Stiffness Method
Famous quotes containing the words member, stiffness and/or relations:
“The very existence of society depends on the fact that every member of it tacitly admits he is not the exclusive possessor of himself, and that he admits the claim of the polity of which he forms a part, to act, to some extent, as his master.”
—Thomas Henry Huxley (1825–95)
“Everything ponderous, viscous, and solemnly clumsy, all long- winded and boring types of style are developed in profuse variety among Germans—forgive me the fact that even Goethe’s prose, in its mixture of stiffness and elegance, is no exception, being a reflection of the “good old time” to which it belongs, and a reflection of German taste at a time when there still was a “German taste”Ma rococo taste in moribus et artibus.”
—Friedrich Nietzsche (1844–1900)
“Think of the many different relations of form and content. E.g., the many pairs of trousers and what’s in them.”
—Mason Cooley (b. 1927)