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Strength of Materials

Simple Stress and Strain-II

A steel rod, ...

Question

A steel rod, $100 m m$ long is held between two rigid supports. It is heated by $20 ° c$ . If the coefficient of thermal expansion of the material of the rod is $15 \times 10^{- 6} p e r ° C$ and modulus of elasticity is $200 \times 10^{3} M N / m^{2}$ , what is the stress in the rod?

20 M N / m^{2}

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40 M N / m^{2}

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60 M N / m^{2}

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80 M N / m^{2}

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Solution

The correct option is C $60 M N / m^{2}$
The stress developed in the rod is given as
$σ = α Δ T E$
$= 15 \times 10^{- 6} \times 20 \times 200 \times 10^{3}$
$= 60 M N / m^{2}$

It is to be noted that temperature stress depends upon properties of material and not upon properties of cross section like length and area

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A steel rod, 100 mm long is held between two rigid supports. It is heated by 20°c. If the coefficient of thermal expansion of the material of the rod is 15×10−6 per°C and modulus of elasticity is 200×103MN/m2, what is the stress in the rod?

The correct option is C 60 MN/m2The stress developed in the rod is given as σ=αΔTE =15×10−6×20×200×103 =60 MN/m2 It is to be noted that temperature stress depends upon properties of material and not upon properties of cross section like length and area

A steel rod, $100 m m$ long is held between two rigid supports. It is heated by $20 ° c$ . If the coefficient of thermal expansion of the material of the rod is $15 \times 10^{- 6} p e r ° C$ and modulus of elasticity is $200 \times 10^{3} M N / m^{2}$ , what is the stress in the rod?