Problem 2 A triangular element has three nodes with high order interpolation functions, which can be applicable for high strain rate. Develop the [D], [B], and [K] matrixes. Use the following quadratic displacement functions in x- and y-direction as interpolation functions: u(x, y) = α₁ + a2x + α3y² v(x, y) = a + α5x + α6y²

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.10P: Solve the preceding problem for the following data: x=190106,y=230106,xy=160106,and=45.
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Parvinbhai 

Problem 2
A triangular element has three nodes with high order interpolation functions, which can
be applicable for high strain rate. Develop the [D], [B], and [K] matrixes. Use the following
quadratic displacement functions in x- and y-direction as interpolation functions:
u(x, y) = α₁ + a2x + α3y²
v(x, y) = a + α5x + α6y²
Transcribed Image Text:Problem 2 A triangular element has three nodes with high order interpolation functions, which can be applicable for high strain rate. Develop the [D], [B], and [K] matrixes. Use the following quadratic displacement functions in x- and y-direction as interpolation functions: u(x, y) = α₁ + a2x + α3y² v(x, y) = a + α5x + α6y²
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