Transcription of Chapter 6 Deflection of Beams - ncyu.edu.tw
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Chapter 6 Deflection of Beams - ncyu.edu.tw
Mechanics of MaterialsChapter 6 Deflection of Introduction Because the design of Beams is frequently governed by rigidity rather than strength. For example, building codes specifylimits on deflectionsas well as stresses. Excessive deflectionof a beam not only is visually disturbing but also may cause damage to other parts of the building. For this reason, building codes limit the maximum Deflection of a beam to about1/360 thof its spans. A number of analytical methods are available for determining the deflections of Beams .
When deriving the flexure formula in Art. 5.2, we obtained the moment-curvature relationship (5.2b. repeated) where M is the bending moment acting on the segment, E is the modulus of elasticity of the beam material, and I represents the modulus of inertia of the cross-sectional area about the neutral (centroidal) axis. 2 1 2 dx d v = ρ EI M = ρ 1
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