A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. Due to its adaptability and capacity to withstand complex loads, the space truss is widely used in various construction projects.

Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical members are known.

Figure 1

Assuming that a tensile force is applied at joint D, a free-body diagram that includes all the reaction forces at A, B, and C joints can be drawn to determine the force acting on members BC and BA.

The moment equilibrium condition at joint C is applied, considering the distances expressed in position vectors in three dimensions.

Equation 1

Simplifying further and using the force equilibrium conditions, the vector components along i yield FAy as 6 N and along k give FBx as -7.2 N. Finally, equating the j coefficients gives the value of FAx as 6 N.

Now, consider the free-body diagram at joint B to calculate the forces FBC and FBA. The forces FBD, FBC, and FBA can be expressed using position vectors. The force equilibrium condition at joint B is applied.

Equation 2

Equating the coefficients of the i, j, and k unit vectors to zero yields the forces along BC and BA as zero.

Tags
Space TrussThree dimensional StructurePlanar TrussBall and socket JointsConstruction ProjectsTensile ForceFree body DiagramReaction ForcesMoment EquilibriumForce Equilibrium ConditionsPosition VectorsJoint Forces

Dal capitolo 6:

article

Now Playing

6.11 : Space Trusses: Problem Solving

Structural Analysis

503 Visualizzazioni

article

6.1 : Introduzione alle strutture

Structural Analysis

872 Visualizzazioni

article

6.2 : Tralicci semplici

Structural Analysis

1.4K Visualizzazioni

article

6.3 : Metodo delle giunzioni

Structural Analysis

615 Visualizzazioni

article

6.4 : Metodo delle articolazioni: risoluzione dei problemi I

Structural Analysis

906 Visualizzazioni

article

6.5 : Metodo delle articolazioni: risoluzione dei problemi II

Structural Analysis

420 Visualizzazioni

article

6.6 : Membro a forza zero

Structural Analysis

1.2K Visualizzazioni

article

6.7 : Metodo delle sezioni

Structural Analysis

477 Visualizzazioni

article

6.8 : Metodo delle sezioni: Risoluzione dei problemi I

Structural Analysis

407 Visualizzazioni

article

6.9 : Metodo delle sezioni: Risoluzione dei problemi II

Structural Analysis

808 Visualizzazioni

article

6.10 : Tralicci spaziali

Structural Analysis

684 Visualizzazioni

article

6.12 : Fotogrammi

Structural Analysis

459 Visualizzazioni

article

6.13 : Frames: Risoluzione dei problemi I

Structural Analysis

333 Visualizzazioni

article

6.14 : Frames: Risoluzione dei problemi II

Structural Analysis

149 Visualizzazioni

article

6.15 : Macchine

Structural Analysis

203 Visualizzazioni

See More

JoVE Logo

Riservatezza

Condizioni di utilizzo

Politiche

Ricerca

Didattica

CHI SIAMO

Copyright © 2025 MyJoVE Corporation. Tutti i diritti riservati