A thin long plate of thickness b=0.05m, width 2h=1m and length 2a=6m is placed inside two rigid, frictionless plates and

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A Thin Long Plate Of Thickness B 0 05m Width 2h 1m And Length 2a 6m Is Placed Inside Two Rigid Frictionless Plates And 1 (84.44 KiB) Viewed 43 times

A thin long plate of thickness b=0.05m, width 2h=1m and length 2a=6m is placed inside two rigid, frictionless plates and carries a compressive applied stress of o. = 200,000Nm² as shown in the figure. The plate is made of a linear elastic material of Young's modulus E-2.1x10¹¹ Nm-² and Poisson's ratio v=0.3. y σ. (Nm-²) 2h X Z σ. (Nm-²) a The displacement field for this case is given to be: 1-0² v(1 + v) Ux = -• ·σ x; U₂ = 0, U₂ = 0 = E E What is the change in volume of the plate upon deformation? a Figure 1