Difference between symmetry and anti-symmetry frames

 Following are the differences between symmetry and anti-symmetry frames

Aspect	Symmetry Frame	Anti-Symmetry Frame
Loading	Symmetric loading.	Anti-symmetric loading.
Quantities Distribution	Symmetric quantities such as bending moments and displacements are symmetrical about the centroidal vertical axis.	Symmetric quantities like bending moments and displacements are zero at the centroidal vertical axis.
Behavior at Centroidal Axis	Symmetric quantities such as bending moments and displacements exhibit symmetry around the centroidal vertical axis.	Anti-symmetric quantities like slopes and shear forces are zero at the centroidal vertical axis.
Distribution of Anti-Symmetric Quantities	Anti-symmetric quantities such as slopes and shear forces are distributed about the centroidal vertical axis, exhibiting symmetry with respect to it.	Anti-symmetric quantities such as slopes and shear forces are distributed about the centroidal vertical axis but are zero at the axis.
Support Reactions	Support reactions in symmetric frames are often equal in magnitude and opposite in direction on either side of the axis.	Support reactions in anti-symmetric frames may differ in magnitude and direction, depending on the anti-symmetric loading condition.
Deformation Pattern	Deformation patterns are symmetrical about the centroidal axis, meaning both sides of the frame deform in a mirrored fashion.	Deformation patterns are anti-symmetrical, with the deformation being mirrored but with opposite characteristics around the centroidal axis.
Example Structures	Bridges with symmetric loading patterns or buildings with symmetrical facades.	Cantilever beams or frames with asymmetric loadings, where loads are applied in a way that creates an anti-symmetric distribution of forces.