N02: Cable with Hanging Loads ✔

The cable supports three vertical loads. The area of the cable is 0.1 ft2. The elastic modulus of the cable is 200,000 kips/ft2.

Determine the reaction forces and the maximum tension in the cable.

The model has 5 joints and 4 cable elements. A small tensile force

is specified as prestress force to give initial stiffness to the cable.
Nonlinear static analysis is performed using one (1) load step and maximum of 10 iterations.


Modulus of Elasticity = 200,000 kips/ft2
A = 0.10 ft2
Initial Tensile Force = 10 kips

The tension in the cable varies from 17.9 kips (element # 2) to 24.7 kips (element # 4).





Tested Features

App

Object Link : https://openbrim.org/objidv3g1jk867ogrkg3uxrwsyp.project

Library

Object Link : https://openbrim.org/objidlgt9sbg279oxhrjecbsn88.libobj


Sources

  • LARSA 4D
  • Beer and Johnston, page 260.

Independent(Beer)LarsaOpenBrIM

Percent Difference Larsa vs Independent

Percent Difference OpenBrIM vs Independent

Reaction Ax (kips)

-17.9-17.89-17.89-0.056%-0.056%
Reaction Az (kips)5.035.035.030%0%
Reaction Bz (kips)16.9716.9716.970%0%
Max Cable Tension (kips)24.7024.6624.66-0.162%-0.162%