Stainless steel rod has a gap of 0.0371 mm between its end and a rigid wall. The modulus of elasticity E = 210 GPa. The coefficient of thermal expansion α= 10 ×10⁻⁶ mm / mm⋅°C. The diameter of the rod is 13 mm.
When the temperature is raised to 140 °C, the magnitude of the stress (MPa) in the rod is .

The value of stress in the rod is 220.9 MPa

Explanation:

As the data is not complete, a similar question is found online and the missing data is used from that question. Similar question is attached herewith.

From the given data

The allowed total strain is given as

The length of the rod is missing in this data which in the additional data is l=290 mm

The Modulus of Elasticity is given as E=210 GPa

The coefficient of thermal expansion is given as α= 10 ×10⁻⁶ mm / mm⋅°C.

The initial temperature is room temperature which is given as T1=22C

The final temperature is given as T2=140 C

The strain due to stress is given as

Now the thermal strain is given as

So now the equation of the allowed strain is given as

The negative sign indicate that the stress is compressive.

The value of stress in the rod is 220.9 MPa

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