Following are the differences between symmetry and anti-symmetry frames
| Difference 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. | 

 
 
 
 
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