A compressible adjunct has a first portion, a second portion, and a middle portion. The middle portion is disposed between the first portion and the second portion. The middle portion comprises a first pillar, a second pillar, and an interconnecting member. The first pillar and the second pillar extend substantially between the first portion and the second portion. The interconnecting member is configured to engage at least the first pillar and the second pillar. When the compressible adjunct is compressed by a force, the first pillar is configured to deflect a first deflection and the second pillar is configured to deflect a second deflection. The first deflection differs from the second deflection.