Assignment1 - Assignment 1 Mechanics of Light Weight...

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Assignment 1 Mechanics of Light Weight Structures, TMHL03 2011-10-20 Linköping Univeristy Solid Mechanics/IEI Bo Torstenfelt An in-plane loaded plate in Cartesian coordinates Background A linear elastic rectangular domain is loaded by a distributed load per unit surface and has boundary conditions as in the figure below. The Young’s modulus E , the Poisson’s ratio ν , the distances a , b , the thickness t and the load intensity q [N/m 2 ] are all known. Plane stress conditions can be assumed. Calculate the displacements and stresses in the domain and compare it with a finite element solution. (Before you start to do any numerical work, be sure of that you have retrieved your own personal numerical values correctly by use of the enclosed Excel-file.) α q β q b a E, ν , t Report content: In your report the following should be covered and discussed, preferably in the following sequence: Define a position and an orientation of a global coordinate system. Define the unknown displacement components and also which independent
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