A shelving system formed by a plurality of vertical posts and horizontal traverses held together through frictional engagement. Disposed between each lateral pair of posts is at least one traverse which includes a male frictional engagement member configured to engage with a removable female frictional engagement member disposed on each post. The post and traverse engage with each other so as to create a proportional or supportive reaction force in response to any shear force applied to the shelving system. Each of the female frictional engagement members has a tapered edge which forms a closely fitted coupling between the post and each traverse. Each of the female frictional engagement members may be selectively disposed in one of a plurality of positions along the height of each vertical post. The shelving system further includes top and bottom connectors, both of which also frictionally engage with the vertical posts.