Utilize our free online tool to calculate the Cantilever beam with uniform load effortlessly. This calculator is tailored to compute the slope and deflection of a cantilever beam under a uniformly varying load. By providing essential parameters like beam length, load intensity, and moment of inertia, you can acquire precise results for the beam’s slope and deflection. This valuable tool aids engineers and students in studying structural analysis and beam bending.
Cantilever beam with uniform load formula
![\[\text{Slope at free end} = \frac{{P_0 L^3}}{{6EI}}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-a84d65a4acf4caac3dc2d3ee0180a42d_l3.png "Rendered by QuickLaTeX.com")
![\[\text{Deflection at any section} = \frac{{P_0 x^2 (x^3 + 6L^2 - 4Lx)}}{{24EI}}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-6113e1ef7b000ef8cdae7789b60585f0_l3.png "Rendered by QuickLaTeX.com")
![\[P_0 = \frac{{PL}}{{L - x}}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-df4e4f5a2e3963c5852ce1be3b5e14d4_l3.png "Rendered by QuickLaTeX.com")
The variables used in the formula are:
P0 is the Maximum intensity,
P is the Externally applied load,
E is the Elastic Modulus,
I is the Area moment of Inertia,
L is the Length of the beam and
x is the position of the load.
