Linköping Univeristy Solid Mechanics/IEI Bo Torstenfelt Assignment 3 Mechanics of Light Weight Structures, TMHL03 2011-10-20 A rectangular plate Background A rectangular plate with a thickness t and the edge lengthes a and b carries a uniform pressure p0 . The plate is simply supported along all its edges. The Young’s modulus E, the Poisson’s ratio ν , the distances a and b, the thickness t and the load intensity p0 are all known entities (See the Excel-file). Plane stress conditions can be assumed. Calculate the stresses and compare it with a finite element solution. Report content: In your report the following should be covered and discussed: • Deduce the plate equation! (called the governing differential equation for deflection for thin plates in Ugural) • Start from the displacement assumption proposed by Kirchhoff. Make a clean and detailed picture describing this assumption. • Describe how the general 3D linear elastic stress problem is reduced from 15
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