The members of a steel bent frame are subjected to temperature variation as shown in fig. Determine the vertical deflection at free end ‘C’ considering axial deformation in member. Take depth of each member as 500 mm and $α=12×10^{-6} /^0 C.$

Mumbai University > Civil Engineering > Sem 5 > Structural Analysis – II

Marks: 6 Marks

Year: Dec 2014

Depth = 500 mm = 0.5 m

Consider Axial Effect ,

$δ = α * Δt / d ∫ M dx + α * t ∫ P dx \\ = 12 * 10^-6 * 10 / 0.5 * ∫ 0-4 ( X ) + 12 * 10^-6 * 15 / 0.5 * ∫ 0-3 ( -X ) + 12 * 10^-6 * 32.5 * ∫ 0-3 (1) \\ = 1.92 * 10^-3 - 1.62 * 10^-3 + 1.17 * 10^-3 \\ = 1.47 * 10^-3 m \\ = 1.47 mm$