TEST CASE 6.5 THERMAL EXPANSION AT THE PRESENCE OF THE GAP
Reference:
O. Harris, Introduction to Stress Analysis, The Macmillan Co., New York, NY, 1959, pg. 58, problem 8
Problem description:
Console bar is heating up. In order to restrict heat extension a gap at the bar end is applied. Determine axial load N in truss at the moment of gap disappearing.
Problem sketch:
Type of created problem:
Flat frame (X, Z, UY).
Geometric characteristics:
L = 3 m; δ = 0.002 m.
Material properties:
Elastic modulus: E = 10.5·10^{6} tf;
Thermal expansion coefficient: α = 12.5·10^{-6} °С^{-1}.
Boundary conditions:
Left side of beam: X = Z = UY = 0.
Loads:
ΔТ = 100 °С.
Model description:
The system is modeled by 2 general finite elements of spatial bar (FE type is 10) and 1 physically nonlinear single-noded FE of one-sided inelastic links (FE type is 266). A gap is modelled via single-noded finite element with a large rigidity with a gap. A node, which contain single-noded element is linked at directions Z and UY. For nonlinear solution, iterative process is used (number of steps is 1, minimum number of iterations is 3000).
Calculation results:
Target value |
Analytical solution |
LIRA 10 |
Deviation, % |
N, tf |
6125 |
6125 |
0.00 |