This is a two-dimensional truss support. The truss structure consists of two steel truss bars and is subjected to a vertical load of P. Ignore the self-weight of the elements. Determine the force in each bar and the vertical deflection at the point of the applied load.

The 2-D model consists of 3 joints and 2 truss elements. The joints 1 and 3 are pin supports. The truss structure is modeled in the XZplane. All rotational degrees of freedom and the translational displacement in the Global Y-direction are eliminated from the analysis.

The material property data is given:

Modulus of Elasticity = 30,000,000 psi

and sectional property data:

Area = 0.50 in2.

The vertical load of 5000 lb is applied in the negative Global Z-direction at joint 2.

Linear static analysis with one load case is performed.

Tested Features

App

Object Link: https://openbrim.org/objidef0xsj2bg5tod3lq6dc7qm.project

Library

Object Link: https://openbrim.org/objiduy34iglmdhhsox6bftivt.libobj

Sources

Timoshenko, S., Strength of Materials Part I, D. Van Nostrand Co., 1955, p.10.
LARSA 4D

Result Comparison

Output Parameters

Independent

(Timoshenko)

Larsa

OpenBrIM

Percent Difference

(Larsa vs Independent)

Percent Difference

(OpenBrıIM vs Independent)

Axial Force @ I-end (kip)

5 (Tension)

-5

5 (Tension)

0%

0%

Vertical Deflection @ 2(in)

0.12 (Down)

-0.12

-0.12

0%

0%

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