EngiRef / Formulas
Cantilever Beam (Uniform Load)
Maximum deflection of cantilever under uniform load
Beams
Source Details
Id
civil-cantilever-uniform
Name
Cantilever Beam (Uniform Load)
Discipline
civil
Category
Beams
Latex
\delta_{max} = \frac{wL^4}{8EI}
Description
Maximum deflection of cantilever under uniform load
Conditions
Cantilever, uniform load over entire length
Variables
[
{
"symbol": "δₘₐₓ",
"name": "Max Deflection",
"unit": "m",
"siUnit": "m",
"imperialUnit": "in"
},
{
"symbol": "w",
"name": "Load per Unit Length",
"unit": "N/m",
"siUnit": "N/m",
"imperialUnit": "lbf/ft"
},
{
"symbol": "L",
"name": "Length",
"unit": "m",
"siUnit": "m",
"imperialUnit": "ft"
},
{
"symbol": "E",
"name": "Elastic Modulus",
"unit": "Pa",
"siUnit": "Pa",
"imperialUnit": "psi"
},
{
"symbol": "I",
"name": "Moment of Inertia",
"unit": "m⁴",
"siUnit": "m⁴",
"imperialUnit": "in⁴"
}
]Solve For
δₘₐₓ, w, L, E, I
Tags
cantilever, beam, deflection, uniform, distributed
Is Custom
false