A rod is 2m long at temperature of 10oC. Find the expansion of the rod, when the temperature is raised to 80oC. If this expansio

Question

2 months ago

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n is prevented, find the stress induced in the material of the rod. Take E = 1.0 x 105 MPa and α = 0.000012 per degree centigrade.

1 answer:

Kisachek [356] · Answer 1 · 2026-02-25T10:01:22+03:00

Answer:

ΔL = 1.68 mm

σ = 84 MPa

Explanation:

Thermal expansion can be calculated as:

ΔL = α ΔT L

And thermal stress is given by:

σ = α ΔT E

Provided values:

α = 1.2×10⁻⁵ /°C

E = 1.0×10⁵ MPa

ΔT = 80°C − 10°C = 70°C

L = 2 m

Thus, ΔL can be calculated as follows:

ΔL = (1.2×10⁻⁵ /°C) (70°C) (2 m)

ΔL = 0.00168 m

ΔL = 1.68 mm

For the thermal stress:

σ = (1.2×10⁻⁵ /°C) (70°C) (1.0×10⁵ MPa)

σ = 84 MPa