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A bimetallic cylindrical bar of cross sectional area 1 m² is made by bonding Steel (Young's modulus = 210 GPa) and Aluminium (Young's modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude 10⁻⁶ in Steel bar and compressive axial strain of magnitude 10⁻⁶ in Aluminium bar, the magnitude of the required force P (in kN) along the indicated direction is

1. 70
2. 140
3. 210
4. 280

Correct answer: 140

Solution

The required force can be calculated using the relationship between stress, strain, and Young's modulus for both materials. Since the strains are equal in magnitude but opposite in sign, the force needed to achieve these strains in the bimetallic bar results in a total force of 140 kN.

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