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In this lecture, I have discussed the basics of structural analysis in which I have discussed the speculations and Assumptions which include the material properties, boundary conditions, provision of deflection and the equations of equilibrium.
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Material properties -
The materials of the structures are assumed to be
homogeneous and isotropic in nature. Homogeneous
material means, the identical particles that exist
throughout the material, and isotropic means the physical
properties of the materials which are identical in all
directions.
Boundary conditions -
The boundary conditions fall under the following idealized
cases only:
(i) Free end - Since the free end of a structure can have
linear or rotational displacement in any direction,
therefore, no reaction is developed at the free end.
(ii) Roller support - The member having roller support
is allowed to move along the support and can rotate
freely. That’s why there is no reaction along the
horizontal axis of the support i.e. along the x-axis and the
resisting moment is zero. In other words, there will be a
reaction only in the direction normal to the support.
(iii) Hinged ends - The member having hinged support
cannot move linearly in any direction but can rotate
freely. In such cases, the support can develop the
required resisting force in any direction and not the
resisting moment.
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