# Deflection and slope of cantilever beam

For the cantilever beam and loading shown, determine the deflection and slope at point B. Use E = 29,000,000 psi.

See the attached file.

© BrainMass Inc. brainmass.com April 3, 2020, 4:27 pm ad1c9bdddfhttps://brainmass.com/engineering/mechanical-engineering/deflection-slope-cantilever-beam-114676

#### Solution Preview

A beam under load deflects and bends. If the deflection of the beam is given by the displacement function v in terms of location x, from calculus we conclude that the curvature K of the beam is given

K ≈ (d2v/dx2)

We have to fine the deflection v(x) and the slope (dv/dx) of the cantilever beam.

From the study of pure bending we know the relation between the radius of curvature and the applied bending moment to be given by ...

#### Solution Summary

MS Word document contains detailed explanation of a cantilever beam bending problem.

$2.19