![[Graphics:Images/index_gr_1.gif]](Images/index_gr_1.gif)
![[Graphics:Images/index_gr_2.gif]](Images/index_gr_2.gif)
![[Graphics:Images/index_gr_3.gif]](Images/index_gr_3.gif)
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![[Graphics:Images/index_gr_7.gif]](Images/index_gr_7.gif)
![[Graphics:Images/index_gr_8.gif]](Images/index_gr_8.gif)
![[Graphics:Images/index_gr_10.gif]](Images/index_gr_10.gif)
Cross-sectional properties, and the modulus of each element are rovided in a list of length ne in which the first entry is the area of the member and the second is the Young's modulus of the material.
![[Graphics:Images/index_gr_12.gif]](Images/index_gr_12.gif)
![[Graphics:Images/index_gr_14.gif]](Images/index_gr_14.gif)
![[Graphics:Images/index_gr_15.gif]](Images/index_gr_15.gif)
![[Graphics:Images/index_gr_17.gif]](Images/index_gr_17.gif)
![[Graphics:Images/index_gr_18.gif]](Images/index_gr_18.gif)
![[Graphics:Images/index_gr_20.gif]](Images/index_gr_20.gif)
![[Graphics:Images/index_gr_21.gif]](Images/index_gr_21.gif)
![[Graphics:Images/index_gr_23.gif]](Images/index_gr_23.gif)
![[Graphics:Images/index_gr_25.gif]](Images/index_gr_25.gif)
![[Graphics:Images/index_gr_28.gif]](Images/index_gr_28.gif)
![[Graphics:Images/index_gr_30.gif]](Images/index_gr_30.gif)
![[Graphics:Images/index_gr_32.gif]](Images/index_gr_32.gif)
![[Graphics:Images/index_gr_34.gif]](Images/index_gr_34.gif)
![[Graphics:Images/index_gr_36.gif]](Images/index_gr_36.gif)
![[Graphics:Images/index_gr_38.gif]](Images/index_gr_38.gif)
![[Graphics:Images/index_gr_40.gif]](Images/index_gr_40.gif)
![[Graphics:Images/index_gr_42.gif]](Images/index_gr_42.gif)
![[Graphics:Images/index_gr_44.gif]](Images/index_gr_44.gif)
![[Graphics:Images/index_gr_46.gif]](Images/index_gr_46.gif)
![[Graphics:Images/index_gr_48.gif]](Images/index_gr_48.gif)
![[Graphics:Images/index_gr_50.gif]](Images/index_gr_50.gif)
The unknowns of the problem are the displacements at those nodes that are free to move. To solve for the unknown displacements,
,
}, set up the system,
![[Graphics:Images/index_gr_54.gif]](Images/index_gr_54.gif)
![[Graphics:Images/index_gr_56.gif]](Images/index_gr_56.gif)
![[Graphics:Images/index_gr_58.gif]](Images/index_gr_58.gif)
![[Graphics:Images/index_gr_60.gif]](Images/index_gr_60.gif)
![[Graphics:Images/index_gr_62.gif]](Images/index_gr_62.gif)
![[Graphics:Images/index_gr_63.gif]](Images/index_gr_63.gif)
It is also possible to show the deformed shape of the structure by adding the nodal displacements to the node point locations.
![[Graphics:Images/index_gr_65.gif]](Images/index_gr_65.gif)
![[Graphics:Images/index_gr_67.gif]](Images/index_gr_67.gif)
![[Graphics:Images/index_gr_69.gif]](Images/index_gr_69.gif)
![[Graphics:Images/index_gr_71.gif]](Images/index_gr_71.gif)
![[Graphics:Images/index_gr_73.gif]](Images/index_gr_73.gif)
![[Graphics:Images/index_gr_74.gif]](Images/index_gr_74.gif)
![[Graphics:Images/index_gr_76.gif]](Images/index_gr_76.gif)
![[Graphics:Images/index_gr_77.gif]](Images/index_gr_77.gif)