L01: 2D Truss with Static Loads✔

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)

LarsaOpenBrIM

Percent Difference

(Larsa vs Independent)

Percent Difference

(OpenBrıIM vs Independent)

Axial Force @ I-end (kip)(Tension)

-5

5 (Tension)

0%

0%
Vertical Deflection @ 2(in)0.12 (Down)-0.12-0.120%0%