Question: Problem 3 : A thin polymeric plate ( Young ' s modulus E ) is clamped on an experimental machine to perform bending tests. The

Problem 3:
A thin polymeric plate (Young's modulus E) is clamped on an experimental machine to perform bending tests. The simplified one-dimensional sketch is illustrated in the figure, where the clamps are modelled as fixed supports.
Based on Euler-Bernoulli's theory, determine the vertical displacement v(z) and sketch its qualitative trend along axis z.
Find the reactions at the supports. Was it possible to determine them without knowing the displacement v(z)? Why?
Determine the minimum moment of inertia of the cross section, such that the maximum vertical displacement is below l100.
Given: l=200mm,q=10Nmm,E=1GPa.
Problem 3 : A thin polymeric plate ( Young ' s

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