What does a free-body diagram represent?
A free-body diagram isolates one selected body and shows the external forces and moments acting on it.
Study 5 Rigid-Body Equilibrium and Free-Body Diagrams with 12 free online flashcards. Review key terms, definitions, and concepts with this interactive flashcard deck.
What does a free-body diagram represent?
A free-body diagram isolates one selected body and shows the external forces and moments acting on it.
What reaction does an ideal cable exert?
An ideal cable exerts one tension force along the cable, pulling away from the body.
What three equations describe planar rigid-body equilibrium?
The net horizontal force, net vertical force, and net moment must each be zero: ∑Fx=0, ∑Fy=0, and ∑MO=0.
When does a force have zero moment about a point?
A force produces zero moment about a point when its line of action passes through that point.
Why take moments about A in the beam example?
Taking moments about A eliminates both pin reactions because their lines of action pass through A.
What if a structure has more unknown reactions than equilibrium equations?
If there are more unknown reactions than independent equilibrium equations, statics alone generally cannot solve the system; additional information such as deformation or compatibility is needed.
What key information belongs on a free-body diagram?
Show all applied loads, the body's weight when relevant, support reactions, dimensions, and a clear coordinate system.
How are internal forces treated on an assembly’s free-body diagram?
Internal forces between parts of the selected assembly do not appear on its overall diagram. If one part is isolated, forces from the other parts become external to it.
What reaction does a smooth surface or roller exert?
A smooth surface or roller exerts one reaction force normal to the surface.
What reactions does an ideal pin or hinge provide?
A pin or hinge provides two force components, usually horizontal and vertical, but no reaction couple.
What reactions does an ideal fixed support provide?
A fixed support provides two force components and a reaction couple.
What is a common sign convention for planar moments?
A common convention takes counterclockwise moments as positive and clockwise moments as negative.