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DETERMINATION OF MOVEMENT BY THE MORA METHOD

Lecture



There are several ways to determine the movement of cross sections during bending. If knowledge of the equation of the curved bar line is not required, and it is necessary to determine only linear or angular displacements of a separate section, it is most convenient to use the Mohr method.
For beams and flat frames, the Mora integral has the form:
DETERMINATION OF MOVEMENT BY THE MORA METHOD
Where DETERMINATION OF MOVEMENT BY THE MORA METHOD - the desired movement (linear or angular);
M p , M 1 - analytical expressions of bending moments, respectively, from a given and a single force;
EJ X is the stiffness of the beam section in the bend plane.
When determining displacements, two states of the system should be considered:
I - the actual state, with an applied external load;
II - an auxiliary state in which the beam is released from external load, and a unit force is applied to the section, the displacement of which is determined, if a linear displacement is determined, or a single moment, if angular displacement is determined (Fig. 6.1).
DETERMINATION OF MOVEMENT BY THE MORA METHOD
Fig. 6.1

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DETERMINATION OF MOVEMENTS IN STATICALLY DEFINABLE SYSTEMS. RIGIDITY CALCULATIONS

Terms: DETERMINATION OF MOVEMENTS IN STATICALLY DEFINABLE SYSTEMS. RIGIDITY CALCULATIONS