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

By BYJU'S Exam Prep

Updated on: September 25th, 2023

Propped cantilevers have one degree(s) of indeterminacy. A cantilever is a structural element that is supported at one end and extends horizontally. It extends typically from a flat vertical surface like a wall, on which it should be attached firmly. Similar to the structural elements, a cantilever is formed as a plate, beam, truss, or slab.

Static Indeterminacy = No. of unknowns – No. of equilibrium equations

### 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.

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