Free-End Deflection of a Cantilever Beam
Mediumdeflectioncantilever
A 2 m cantilever with flexural rigidity E I = 4000 kN·m2 carries a 10 kN point load at its free end. What is the deflection at the free end?
- A6.7 mm
- B2.2 mm
- C20 mm
- D13.3 mm
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Answer: A. 6.7 mm
For an end-loaded cantilever δ = P L3 / (3 E I) = 10 · 23 / (3 · 4000) = 80 / 12000 = 0.00667 m ≈ 6.7 mm. 2.2 mm uses the uniform-load form P L3 / (8 E I) with the wrong load type; 20 mm drops the factor of 3.
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