Consistent Deformations for Trusses - Page 1 of 6
Consistent Deformations for Trusses
Objectives:
1.
Set up the table to calculate truss deformations
2.
Calculate the reactions for a 1-degree indeterminate truss structure
The internal work for a truss member is:
AE
SL
S
=
W
i
δ
The internal work for the entire structure is the sum of all the members’ internal work.
For a truss, the number of redundants is;
2N
R
+
M
=
D
where M is the number of members
R is the number of reactions
N is the number of nodes or joints.
if
D = 0 then the structure is determinate.
D > 0 then the structure is indeterminate to the D
th
degree
D < 0 then the structure is a mechanism (un-stable).
Consistent Displacements Truss Example
Given the following truss, find the member forces.

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