Propped cantilevers have ______ degree(s) of indeterminacy. (a) two (b) zero (c) three (d) one

Propped Cantilever Case

A propped cantilever has four unknowns: a moment at the end which is fixed, a moment at the vertical end, and a horizontal reaction at the vertical end. (As the beam is exposed to vertical loading we cannot use the horizontal reaction)

Σ M = 0, Σ Fy = 0

3 reactions at supports and 2 Available equations (1 at the propped end and 2 at fixed that is vertical reaction and moment)

Static Indeterminacy = No. of unknowns – No. of equilibrium equations = 3 – 2 = 1

Summary:

Propped cantilevers have ______ degree(s) of indeterminacy. (a) two (b) zero (c) three (d) one

Cantilevers that are propped have one degree of uncertainty. If subjected to an unsupported end, or structural load, the cantilever carries the load to the support where it applies a shear stress and a bending moment.