A steel wire of 95m length and 2mm^2 cross sectional area is freely hanging from a tower. What will be its elongation due to its self weight. Take specific weight of the steel as 78.6K N/m^3 and modulus of elasticity as 200N/m^2.
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Explanation:
Δl = F L / A Y
here force is the weight of wire = volume (length * area) * density (specific weight)
78.6 * 95 * 2 * 10⁻⁶ = 7482.72 * 10⁻⁶
elongation = ( 7482.72 * 10⁻⁶ * 95 ) / 2 * 10⁻⁶ * 200 = 17.7 m
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