GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

Question : 48 of 65

Marks: +1, -0

U

is the strain energy stored in the same bar when subjected to an axial tensile force

( {P}_{1}

+ {P}_{2}

), the correct relationship is

Solution:

{U}=\;{( {P}_{1}+ {P}_{2})^{2} ℓ}/{2 {AE}}

{U}=\;{ {P}_{1}^{2} ℓ}/{2 {AE}}+\;{ {P}_{2}^{2} ℓ}/{2 {AE}}+\;{ {P}_{1} {P}_{2} ℓ}/{ {AE}}

∴ {U}> {U}_{1}+ {U}_{2}

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