- #1
bugatti79
- 794
- 1
Folks,
The element equations for a uniform bar element with constant EA according to the attachment is given as
##\displaystyle \frac{E_a A_e}{h_e}\begin{bmatrix}
1 &0 &-1 &0 \\0
&0 &0 &0 \\-1
&0 &1 &0 \\
0 &0 &0 &0
\end{bmatrix}\begin{Bmatrix}
u^e_1\\v^e_1
\\u^e_2
\\ v^e_2
\end{Bmatrix}=\begin{Bmatrix}
F^e_1\\0\\F^e_2
\\0
\end{Bmatrix}##
I am just wondering, can this not be also written as
##\displaystyle \frac{E_a A_e}{h_e}\begin{bmatrix}
1 &-1 &0 &0 \\0
&0 &0 &0 \\-1
&1 &0 &0 \\
0 &0 &0 &0
\end{bmatrix}\begin{Bmatrix}
u^e_1\\u^e_2
\\v^e_1
\\ v^e_2
\end{Bmatrix}=\begin{Bmatrix}
F^e_1\\0\\F^e_2
\\0
\end{Bmatrix}##...?
The element equations for a uniform bar element with constant EA according to the attachment is given as
##\displaystyle \frac{E_a A_e}{h_e}\begin{bmatrix}
1 &0 &-1 &0 \\0
&0 &0 &0 \\-1
&0 &1 &0 \\
0 &0 &0 &0
\end{bmatrix}\begin{Bmatrix}
u^e_1\\v^e_1
\\u^e_2
\\ v^e_2
\end{Bmatrix}=\begin{Bmatrix}
F^e_1\\0\\F^e_2
\\0
\end{Bmatrix}##
I am just wondering, can this not be also written as
##\displaystyle \frac{E_a A_e}{h_e}\begin{bmatrix}
1 &-1 &0 &0 \\0
&0 &0 &0 \\-1
&1 &0 &0 \\
0 &0 &0 &0
\end{bmatrix}\begin{Bmatrix}
u^e_1\\u^e_2
\\v^e_1
\\ v^e_2
\end{Bmatrix}=\begin{Bmatrix}
F^e_1\\0\\F^e_2
\\0
\end{Bmatrix}##...?