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In-plane and out-of-plane behaviour of masonry walls

Short answer

In-plane, the wall acts as a shear wall; failures are diagonal shear cracking, sliding, and toe crushing. Out-of-plane, it bends like a slab; failures are flexural cracking, overturning, and bulging, with low strength and brittle behavior.

Differentiate between the in-plane and out-of-plane behaviour of masonry walls subjected to lateral loads. Explain the failure modes in each direction.

Lateral loads (wind, earthquake) act on a masonry building in any direction. A wall resists lateral load in two ways depending on its orientation to the load.

  • In-plane: the load acts parallel to the length of the wall; the wall acts as a shear wall.
  • Out-of-plane: the load acts perpendicular to the wall face; the wall acts as a thin slab or cantilever in bending.
   In-plane (shear wall)         Out-of-plane (bending)
      ---> F                         F ->  |
    +--------+                            | wall bends
    |        |                         ___|___  floor
    +--------+                            |
PointIn-planeOut-of-plane
ResistanceShear and axial resistance of the whole lengthFlexural strength of the thickness, plus gravity precompression
Stiffness and strengthHigh (deep section)Low (small thickness)
Governing propertyShear and compressive strength, aspect ratio, vertical loadTensile (flexural) strength, h/th/t, support conditions
Typical failureDiagonal (X) shear cracking, sliding, rocking with toe crushingHorizontal flexural cracks, overturning, bulging, collapse of whole wall
BehaviourRelatively stable, some energy dissipationBrittle, sudden, dangerous

In-plane failure modes

  1. Diagonal tension (shear) cracking: stepped cracks through the mortar or through the units forming an X under cyclic load; common in squat walls with low axial load.
  2. Sliding shear: horizontal sliding along a bed joint when friction is low (low precompression).
  3. Rocking / flexural failure: slender piers rock about the toe and crush at the compressed toe, with horizontal cracks at the base.

Out-of-plane failure modes

  1. Vertical bending between floor and roof: horizontal crack near mid-height and overturning.
  2. Horizontal bending between cross-walls when the wall is long.
  3. Overturning of gable and parapet walls which have no top support.
  4. Separation of walls at corners and delamination of leaves in multi-leaf walls.

Improving the behaviour

Out-of-plane performance improves by reducing h/th/t and wall length, tying walls to floors and cross-walls, providing RC bands and corner stitching, and anchoring roofs. In-plane performance improves with adequate wall density in each direction and sufficient vertical load and reinforcement.

✓ Answer checked by Claude Sonnet 5.5

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