STRESS AND STRAIN IN COMPOUND BAR

Any tensile or compressive member which consists of two or more bars or tubes in parallel, usually of different materials, is called a compound bar. Figure 12.12 shows an example of compound bar; it consists of a tube and a rod of different materials.

Since the initial length of tube and rod are same, it will remain together after application of external force P. Therefore, the strain in each part must be same. Suppose the loads shared by tube and rod is P1 and P2 out of total load P.

equation
Figure 12.12

Figure 12.12 Compound Bar

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where A1 and A2 are cross-section of tube and rod, respectively; E1 and E2 are modulus of elasticity of tube and rod materials, respectively.

equation

On solving Eqs (12.1) and (12.2), we get

equation

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