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# Finite Elements Method (Sonlu Elemanlar Yöntemi) Ödevi (2.si)

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### Görev Detayı

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ödevin tamamını koyamıyorum veriler var fakat sorular şu şekilde:

3 ödev var hepsini ayrı ayrı koydum. (diğerlerine de bakabilirsiniz)

2.si

#2) Consider a plate whose element stiffness matrix (Szilard’s book “Theories and Applications of Plate Analysis”) is presented below. Consider that the plate has the dimension of 0.5m x 0.5 m, thickness of 2 mm and is made of steel (E=210 GPa and v=0.29). Create a mesh formed of 4 linear quadrilateral elements. Apply a point downward load in the middle of the plate having the magnitude of F=1N. Assume that
a) All edges are simply supported
b) Right edge is clamped and all other edges are free
i) Establish the topology matrix by hand. Calculate the nodal displacements and rotations by modifying the Matlab code given in class.
Question: What are the boundary conditions at the corners ? Are they create any problem ? Why or why not ?
Question: How could you calculate the strains ?

Question: How could you calculate the stresses ? (Hint: use the generalized Hooke’s law)
Question: There is a claim that the most accurate points for the strain and stress are Gauss integration points. There is a claim that the most accurate points for the displacements are nodes. Are these claims true ?
ii) Compare your results by the solutions of a commercial code using the same mesh size (e.g., Abaqus, Ansys etc.) ? Why do you think there are differences between the solutions ?

#### Bütçe: 100 TL

İşin Yapılacağı Konum: ONLINE
Görevin Başlangıç Tarihi: 22-05-2020
Görevin Bitiş Tarihi: 12-06-2020
Kategori: Ders / Çeviri