For a cantilever of length L with a uniform distributed load w per unit length, the fixed-end moment at the wall is:

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Study for the NANTeL Mechanical Engineering Certification Test. Master the format with quizzes, hints, and explanations designed for exam success. Ready yourself with focused preparation for your certification!

Multiple Choice

For a cantilever of length L with a uniform distributed load w per unit length, the fixed-end moment at the wall is:

The essential idea is to replace the distributed load by its resultant and see what moment that creates at the fixed wall. A uniform load w along the length L has a resultant force wL acting at the beam’s midpoint, a distance L/2 from the wall. The moment about the wall due to this force is wL × (L/2) = wL^2/2. Since the free end cannot resist a moment, the wall must supply this entire hogging moment. So the fixed-end moment has magnitude wL^2/2. This also matches units: w in N/m times L^2 in m^2 gives N·m. The other expressions don’t represent the correct moment for a cantilever with a uniformly distributed load.

For a cantilever of length L with a uniform distributed load w per unit length, the fixed-end moment at the wall is:

Study for the NANTeL Mechanical Engineering Certification Test. Master the format with quizzes, hints, and explanations designed for exam success. Ready yourself with focused preparation for your certification!

For a cantilever of length L with a uniform distributed load w per unit length, the fixed-end moment at the wall is:

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