1- Decompose the displacement field vector of a 2D 9-nodal isoparametric element. Thenwrite the interpolation of the displacement field at any point (5, n) in terms of the nodeshapes and displacement vector.u(§, n) = {} =2- The derivatives of the displacement components are related to the strain vector of theelement as follows:(duyaxdu|aydvExxEyy =(Yxy.axdv3- The size of the stiffness matrix of the above question is: [please do part b and c

Structural design is a highly specialised field of structural engineering. It very well may be…

2- The derivatives of the displacement components are related to the strain vector of the element as follows: ax 8 =Eyy (Yxy) ay |av ax av 3- The size of the stiffness matrix of the above question is: [

2- The derivatives of the displacement components are related to the strain vector of the element as follows: ax 8 =Eyy (Yxy) ay |av ax av 3- The size of the stiffness matrix of the above question is: [

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Design of structures using FEA

An arrangement, in which various members are interconnected with their constrained relative motion, the whole arrangement is then known as a structure. The degree of freedom of such a structure is zero. In such a structure, the load can act throughout the length of the structure or at the joints.

Question

1- Decompose the displacement field vector of a 2D 9-nodal isoparametric element. Then
write the interpolation of the displacement field at any point (5, n) in terms of the node
shapes and displacement vector.
u(§, n) = {} =
2- The derivatives of the displacement components are related to the strain vector of the
element as follows:
(duy
ax
du
|ay
dv
Exx
Eyy =
(Yxy.
ax
dv
3- The size of the stiffness matrix of the above question is: [
please do part b and c

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