GATE XE (Engineering Sciences) 2023 - Question 63

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Section: Solid Mechanics | Type: NAT | Marks: 2

A composite rod made of steel and copper is fixed immovably at its ends as shown in the figure. The length of each portion of the rod is 1 m as shown. The cross-sections of both portions are the same. The moduli of elasticity of steel and copper are 200 GPa and 100 GPa, respectively. The coefficients of thermal expansion of steel and copper are 12 × 10−6 /℃ and 18 × 10−6 /℃, respectively. The composite rod is initially stress free. Then, the temperature of the composite rod is increased by 100 ℃. The magnitude of axial stress (in MPa) developed in the steel rod is______(rounded off to one decimal place).

Figure for question 63, GATE XE (Engineering Sciences) 2023

Answer: 199.0 to 201.0

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