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 . Their common basis is the differential equationthat relatesthe deflectiontothe bending moment. The solution of this equation is complicated because the bending momentis usually adiscontinuousfunction, so that the equations must be integrated in apiecewise such methodsin this text: Method of double integrationThe primary advantage ofthe double- integration method is that it produces the equation for the Deflection everywhere along the Beams .
6.1 Introduction Because the design of beams is frequently governed by rigidity rather than strength. For example, building codes specify limits on deflections as well as stresses. Excessive deflection of a
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