Test 1.1 Space frame with elastic supports

Verification of the LIRA-SAPR software / Test 1.1 Space frame with elastic supports / Analytical solution: M. Laredo,Sistance des matriaux, Paris, Dunod, 1970, p. 165.



Analytical solution: M. Laredo, sistance des matriaux, Paris, Dunod, 1970, p. 165.

Geometry:

L = 2 m;
Iy = Ix = I = 10-6 m4;
J = 2.0 x 10-6 m4;
A = 0.001 m2.

Material characteristic: Isotropic elastic, E=2.1 х 1011 Pa, G=7.875 x 1010 Pa.

Boundary conditions:
At point A: y=0, uA=wA=0; у=52500 N/m (compressive-tensile stiffness);
Rx=Rz=52500 Nm/rad (torsional stiffness).
At point B: X=0, vB=wB=0; х=52500 N/m (compressive-tensile stiffness);
Ry=Rz=52500 Nm/rad (torsional stiffness).
At point H: the hinge.

Loads:

F = -10000 Н.  

CALCULATION RESULTS:

Point

Desired value

Analytical solution

Calculation results (LIRA)

Accuracy,%

A

Moment Мх,  Nm

-8437,5

-8437,6

0,001

A

Moment Му,  Nm

-1562,5

-1562,4

0,006

A

Moment Мz,  Nm

3125,0

3124,8

0,006

B

Moment Мх,  Nm

1562,5

1562,4

0,006

B

Moment Му,  Nm

8437,5

8437,6

0,001

B

Moment Мz,  Nm

3125,0

3124,8

0,006

A

Moving vA, m

-0,029762

-0,02976

0,006

A

Turning angle θAX, rad

0,16071

0,16071

0

D

Moving wD, м

-0,37004

-0,37004

0

Preview image: Array

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