For a cantilever beam with a point load at the free end, what is the deflection

For a cantilever beam with a point load at the free end, what is the deflection at the free end?

For a cantilever beam with a point load at the free end, what is the deflection at the free end?

Step 1: Identify the cantilever beam. A cantilever beam is fixed at one end and free at the other end.
Step 2: Recognize the point load. A point load (W) is applied at the free end of the beam.
Step 3: Understand the variables. You need to know the length of the beam (L), the modulus of elasticity (E), and the moment of inertia (I) of the beam's cross-section.
Step 4: Use the deflection formula. The formula to calculate the deflection (δ) at the free end is δ = WL^3 / (3EI).
Step 5: Plug in the values. Substitute the values of W, L, E, and I into the formula to find the deflection at the free end.

Cantilever Beam Deflection – The deflection of a cantilever beam under a point load is determined by the relationship between the load, the length of the beam, the material properties, and the beam's cross-sectional geometry.
Beam Theory – Understanding the basic principles of beam theory, including how loads affect deflection and the significance of the modulus of elasticity and moment of inertia.