Question
Download Solution PDFA rectangular beam of uniform strength and subjected to a bending moment ‘M’ has a constant width. The variation in depth will be proportional to
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
We have the bending equation for a beam, as
Where,
σ = Bending stress, y = distance from the neutral axis, M = Bending moment of any section, I = Moment of inertia, E = Modulus of Elasticity of material, and R = Radius of curvature.
When a beam is designed such that the extreme fibers are loaded to the maximum permissible stress ρmax by varying c/s, it will be known as beam of uniform strength.
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