Cantilever End Deflection from Point Load
Mediumdeflectioncantilever
A prismatic cantilever carries a downward end load P = 5 kN. Its length is L = 2 m, elastic modulus E = 200 GPa, and second moment of area I = 8 × 10-6 m4. Using Euler-Bernoulli beam theory, what is the end deflection magnitude?
- A2.1 mm
- B4.2 mm
- C8.3 mm
- D16.7 mm
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Answer: C. 8.3 mm
For a cantilever with an end point load, δ = PL³/(3EI) = (5,000)(2³)/[3(200 × 10⁹)(8 × 10⁻⁶)] = 0.008333 m ≈ 8.3 mm.
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