2009+16-2+Design - Introduction to Solid Mechanics -Vm211...

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SJTU Introduction to Solid Mechanics -Vm211 Chapter 16 Design of Beams Chapter 15 Design of Beams SJTU Introduction to Solid Mechanics -Vm211 16.6 Method of Superposition The resultant deflection at any point on this beam can be determined from the superposition of the deflections caused by each of the separate loadings acting on the beam. Why? SJTU Introduction to Solid Mechanics -Vm211 16.6 Method of Superposition Two necessary requirements for applying the principle of superposition: 1. The loading must be linearly related to the stress or displacement that is to be determined. 2. The loading must not significantly change the original geometry or configuration of the member SJTU Introduction to Solid Mechanics -Vm211 16.6 Method of Superposition The differential equation () 4 4 d E Iw x dx υ =− 1. The load w(x) is linearly related to the deflection υ (x) 2. The load is assumed not to change significantly the original geometry of the beam or shaft The deflections for a series of separate loadings acting on a beam may be superimposed SJTU Introduction to Solid Mechanics -Vm211 16.6 Method of Superposition = + It is possible to find the slope and displacement at a point on a beam subjected to several different loadings by algebraically adding the effects of its various component parts.
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2009+16-2+Design - Introduction to Solid Mechanics -Vm211...

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