A steel plate of side ‘a’ (2-D) is enclosed in closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the expansion in the X-direction of the plate due to heating by ΔT – (Poisson's ratio is μ & thermal co-efficient is α)

1
aαΔT
2
μaαΔT
3
aαΔT(1 + μ)
4
aαΔT(1 + 2μ)

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