cantileverTräger

CantileverTräger is a structural element that is fixed or clamped at one end and extends freely beyond the support. It transfers loads by bending and is commonly used to project a structure or component without intermediate supports. In practice, cantileverTräger can be made from steel, reinforced concrete, or timber and may form balconies, canopies, overhangs, or parts of bridges.

The behavior of a cantileverTräger is governed by bending moments, shear forces, and deflection. The fixed end carries the maximum bending moment, while the free end has no moment. For common loading cases: a uniform load w along the length L yields a maximum moment M0 = w L^2 / 2 and maximum deflection at the free end δmax = w L^4 / (8 E I). A point load P applied at the free end yields M0 = P L and δmax = P L^3 / (3 E I). Here E is Young’s modulus and I is the second moment of area of the cross section. The maximum bending stress at the fixed end is σmax = M0 c / I, where c is the distance to the outer fiber.

Design considerations focus on providing sufficient bending capacity, shear resistance, and serviceability. The cross section must supply adequate section modulus, the fixed connection must resist rotation and relaxation, and deflections must meet service criteria. Material choices include steel sections, reinforced concrete flanges, or timber members, often with careful detailing to handle bearing, connections, and potential cracking or moisture effects in concrete or timber.

Typical applications include building cantilevers such as balconies or overhangs, architectural canopies, signage supports, and crane or bridge extensions. The concept emphasizes efficient use of projection while requiring robust restraint at the support.