The slope deflection method is a technique used in structural engineering to analyze beams and rigid frames. This method is classified as a displacement method because it focuses on calculating the displacements of structures to determine the internal moments.
Let's analyze the given statements one by one:
'This method is a displacement method of analyzing beams and rigid frames.'
This statement is correct. The slope deflection method is indeed a displacement method. It calculates the internal forces in a structure by considering the displacements or rotations at the joints and elements of the structure.
'In this method it is assumed that all deformation is due to bending moment only.'
This statement is not entirely correct. While the primary focus of the slope deflection method is on bending moments, it is not assumed that they are the only cause of deformation. In practice, structures may also experience axial loads and shear forces, although the emphasis in this method is on bending.
Given the analysis above, the correct answer is option B) Only 1 . The slope deflection method considers joint displacements primarily due to bending moments, but it does not assume that bending is the only deformation mechanism exclusively. It is crucial to understand that this method simplifies structural analysis by focusing on moments related to displacements.