An iron bar Young-s modulus - 1011 N-m2- - - 10-6- - C 1 m long and 10-3 m2 in area is heated from 0 - C to 100 - C without being allowed to bend or expand- Find the compressive force in newtons developed inside the bar-

F=AY nbsp;α nbsp;Δ nbsp;θ F = nbsp;10^ 3 nbsp;× nbsp;10^11× nbsp;10^ 6× 100 nbsp; F= 10000 N ...

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Limitation of Dimensional Analysis

An iron bar Y...

Question

An iron bar (Young's modulus $= 10^{11} N / m^{2}, α = 10^{- 6} /^{\circ} C)$ $1 m$ long and $10^{- 3} m^{2}$ in area is heated from $0^{\circ} C$ to $100^{\circ} C$ without being allowed to bend or expand. Find the compressive force in newtons developed inside the bar.

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0^{\circ} C

100^{\circ} C

100 c m

1 c m^{2}

α = 12 \times 10^{- 6}

^{\circ} C

Y = 20 \times 10^{11} {dyne/cm}^{2}

0^{\circ}

100^{o}

1 c m^{2}

0^{\circ} C

100^{\circ} C

(α = 10^{- 5} / C a n d Y = 10^{11} \frac{N}{m^{2}})

m^{2}

10^{- 6}

10^{- 6}

1

c m^{2}

0^{\circ} C

100^{\circ} C

,

(α = 10^{- 5} /^{\circ} C

Y = 10^{11} N / M^{2})

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