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       
M
M
M
N
  1 c  x 2 c  z 3 c  y 4 c , (2.16)
EF GJ EJ EJ
k z y
here numerator of every item equals the product of the area  of
a nonlinear diagram on ordinate  of a linear diagram that
c
corresponds to the abscissa of the center of nonlinear gravity.
Multiplication area of a nonlinear diagram for linear ordinate
 considered positive if the area and ordinate are located on
i i c
one side of the base diagram.
If within this sector both diagrams are linear, it does not
matter from which of them to take the area, and from which
ordinate.
In determining the movements we should follow the
following sequence of actions:
1.Build diagrams of the internal force factors of a given load
(freight diagram).
2. Rejecting a given load, the section where the displacement is
determined, apply a unit force (or moment) in the direction of the
desired movement and build diagrams of the internal force factors
(single diagram).
3. "Multiply" freight diagram and a single formula (2.16).

Questions for self-assessment

1. What is the generalized force and generalized
deflection?
2. How do you calculate the work force that acts on an
arbitrary static elastic system?
3. How do you determine the potential energy of
deformation of the rod in generalized forces?
4. What is virtual work?
5. Formulate the theorem of the reciprocity of work.
6. Formulate the theorem of the reciprocity deflection.
7. Formulate Kastyliano’s theorem.
8. Demonstrate an example of using Kastyliano’s
theorem.
9. What is the freight condition?
10. What diagram is freight?

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