What is the reciprocal theorem?
Thus, in its simplest form, the reciprocal theorem states the following: The deflection at point 1 in a given direction due to a unit load at point 2 in a second direction is equal to the deflection at point 2 in the second direction due to a unit load at point 1 in the first direction.
What is Clerk Maxwell reciprocal theorem?
Clerk Maxwell’s theorem in its simplest form states that the deflections of any point A of any elastic structure due to a load P at any other point B is the same as the deflection of B due to the same load P applied at point A.
What are the examples of reciprocity?
More examples of reciprocity include:
- A salesperson giving a freebie to a potential customer, hoping that it will lead them to return the favor by purchasing something.
- A leader offering attention and mentorship to followers in exchange for loyalty2
What is the reciprocal of voltage?
Reciprocity in electrical networks is a property of a circuit that relates voltages and currents at two points. The reciprocity theorem states that the current at one point in a circuit due to a voltage at a second point is the same as the current at the second point due to the same voltage at the first.
How is the Maxwell-Betti law of reciprocal deflections established?
The Maxwell-Betti law of reciprocal deflections establishes the fact that the displacements at two points in an elastic structure subjected to a unit load successively at those points are the same in magnitude.
What is the Maxwell Betti law of real work?
Maxwell-Betti Law of real work is a basic theorem in the structural analysis. Using this theorem, it will be established that the flexibility coefficients in compatibility equations, formulated to solve indeterminate structures by the flexibility method, form a symmetric matrix and this will reduce the number of deflection computations.
What is the theorem of Betti and Maxwell?
Betti’s theorem, also known as Maxwell-Betti reciprocal work theorem, discovered by Enrico Betti in 1872, states that for a linear elastic structure subject to two sets of forces {P i} i=1,…,n and {Q j}, j=1,2,…,n, the work done by the set P through the displacements produced by the set Q is equal to the work done by the set Q through the
Which is the best law of reciprocal deflections?
Maxwell Betti Law of Reciprocal Deflections Civil Engineering (CE) Notes | EduRev notes for Civil Engineering (CE) is made by best teachers who have written some of the best books of Civil Engineering (CE). It has gotten 3932 views and also has 4.9 rating.
