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Chapter 2. Composite Bars and Temperatur... > Stresses in a Composite Bar

Stresses in a Composite Bar

Consider a composite bar, a solid bar, of diameter d completely encased in a hollow tube of outer diameter D and inner diameter d, as shown in Fig. 2.1. Grips at ends are provided so that load can be applied. Say under a tensile force P, the composite bar of length L extends by δL.

Young’s modulus of the tube = E1

Young’s modulus of the bar = E2

Change in length of the bar, δL = change in length of the tube, δL.

Using Hooke’s law,

images (where σ1 and σ2 are stresses developed in the tube and the bar, respectively)


or

 


or


(2.1)

Area of cross-section of the tube,             images

Area of cross-section of the bar,               images

images

Figure 2.1 Composite bar

  Force shared by the tube,

P1 = σ1A1


  

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