A pinned link is loaded only at its two end connections. What can be concluded about the directions of the forces at its ends?
6 Trusses, Frames, and Machines Online Quiz Questions
Use this free practice quiz with 20 questions to review 6 Trusses, Frames, and Machines, test your knowledge, and prepare for your next test or exam.
Why is an FBD of the entire truss commonly drawn before analyzing individual joints or sections?
- A
To determine every internal member force without using any other FBD.
- B
To make internal forces at the joints appear as external loads on the whole truss.
- C
To find any support reactions needed for subsequent analysis.
- D
To prove that every member is in tension.
A lever is pinned to a two-force link and also carries an external load. Which approach correctly analyzes the lever?
- A
Isolate the lever as a rigid body, include the link force at the pin, and apply force and moment equilibrium.
- B
Assume the link force on the lever acts along the lever's length.
- C
Treat the lever as an ideal truss member and use only joint equilibrium.
- D
Omit the link force because the link and lever are connected.
When selecting a section cut in a planar truss, how many unknown member forces should the cut generally expose at most?
- A
It must expose exactly two unknown member forces.
- B
It generally exposes no more than three unknown member forces.
- C
It must cut every member in the truss.
- D
It must be a straight line through the truss.
Select all statements that correctly describe ideal planar connections between members.
- A
An ideal planar pin can transmit two force components.
- B
An ideal planar pin transmits a couple as well as force components.
- C
A fixed connection can transmit a couple.
- D
A fixed connection cannot transmit force components.
Select all statements that correctly describe interaction forces in free-body diagrams of connected parts.
- A
Forces between parts inside a whole-assembly FBD are internal.
- B
Internal forces between parts must be drawn as external forces on the whole-assembly FBD.
- C
Separating connected parts makes their interaction forces relevant to the individual FBDs.
- D
The force exerted by one separated body on another is equal in magnitude and opposite in direction to the return force.
If an unknown truss-member force is assumed to be in tension and the calculation gives a negative value, the member is in compression.
- A
True
- B
False
A machine can contain parts that move relative to one another and may transmit or multiply force.
- A
True
- B
False
If a model has as many independent equilibrium equations as unknowns, that alone guarantees that the structure is stable.
- A
True
- B
False
How many independent equilibrium equations are available for a general rigid body in planar static equilibrium? Enter an integer.
In the symmetric triangular truss described in the material, each sloping member has force magnitude 3513 kN. What is this magnitude in kN, rounded to the nearest 0.01 kN?
In the ideal simple-truss model, applied loads and support reactions act only at the .
When two connected bodies are separated for analysis, the forces they exert on each other form an equal-and-opposite .
Describe a reliable sequence for analyzing a frame or machine made of connected planar bodies, from choosing free bodies through writing the equilibrium equations. Include how to represent connections and interaction forces.
When analyzing an ideal truss joint whose member forces and external forces all meet at the pin, which equilibrium equations should you apply?
- A
Use only the moment equation.
- B
Use the two force equations, ∑Fx=0 and ∑Fy=0.
- C
Use all three rigid-body equations, including a moment equation.
- D
Use no equilibrium equations because the forces are internal.
In a planar frame, which statement correctly describes the idealized force and moment transmission at a pin connection compared with a fixed connection?
- A
A pin transmits a couple but no force components.
- B
A pin and a fixed connection both transmit a couple.
- C
A pin transmits force components but no couple; a fixed connection can transmit a couple.
- D
Neither a pin nor a fixed connection transmits force components.
A pin-connected link and lever are isolated as separate free bodies. How should the interaction forces at their pin be represented?
- A
Draw equal and opposite forces on the two respective free-body diagrams.
- B
Draw the same force direction on both free-body diagrams.
- C
Draw the connection force only on the body with the larger mass.
- D
Omit both forces because the bodies were connected.
When beginning a method-of-joints analysis, which joint is generally the most useful one to isolate first?
- A
A joint with three or more unknown member forces, because the moment equation is available there.
- B
A joint where every member force is already known.
- C
A joint with no external force or reaction, regardless of its unknowns.
- D
A joint with no more than two unknown member forces.
What is the standard term for a member acted on at more than two points, or by couples, so its force is not restricted to the member axis?
An ideal symmetric triangular truss has supports A and B 4 m apart and top joint C centered 3 m above the base. A 10 kN downward load acts at C. Using the method of joints, what is the magnitude of the axial force in the bottom member? Give your answer in kN, rounded to the nearest 0.01 kN; answers within 0.005 kN are accepted.