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Mechanical Engineering · Q207

Strength Of Materials

Engineering and GATE · Mechanical Engineering · question 207

Q207

A composite bar made up of steel and copper bars of equal lengths are heated through 100°C. The stresses developed shall be

A.
Tensile in both the material
B.
Tensile in steel and compressive in copper
Answer
C.
Compressive in steel and tensile in copper
D.
Compressive in both the materials

Answer: Option B

Solution

Answer: Option B
Solution:
When a composite bar made up of different materials, such as steel and copper, is heated, it experiences thermal expansion. Since steel has a higher coefficient of thermal expansion compared to copper, the following stress distribution occurs:

Steel (outer material) expands more and tends to elongate, resulting in tensile stress. Copper (inner material) expands less and tends to contract, resulting in compressive stress.

So, in a composite bar made up of steel and copper bars of equal lengths heated through 100°C, the stresses developed shall be tensile in steel and compressive in copper. This is represented by Option B.