18 Questions
What is the necessary and sufficient condition for the static equilibrium of a body?
Resultant force and couple from all external forces form a system equivalent to zero
How many scalar equations are formed by resolving each force and moment into its rectangular components for static equilibrium?
6
What is the first step in the static equilibrium analysis of a rigid body?
Drawing a free-body diagram
What do reactions at supports and connections for a two-dimensional structure equivalent to?
A force with known line of action
In static equilibrium, what does the sum of moments about a point need to be?
Equal to zero
When detaching a free-body diagram from other bodies, what should be included in the diagram?
Reactions opposing motion along the possible directions
In static equilibrium, the sum of the moments of forces F1, F2, and F3 about any axis must be:
Zero
For a rigid body in equilibrium, what condition must be satisfied regarding the lines of action of the forces?
Concurrent
What is the key condition for a three-force body to be in static equilibrium?
Concurrent forces
When determining the direction of a reaction force, it must pass through which point?
Intersection of the lines of action of relevant forces
What type of triangle can be utilized to determine the magnitude of a reaction force?
Force triangle
What is the sum of moments about any axis for a rigid body in static equilibrium?
$0$
For a rigid body subjected to forces acting at only 3 points, assuming their lines of action intersect, what conclusion can be drawn about the moment of F1 and F2 about the point of intersection?
The moment of F1 and F2 about the point of intersection will be zero.
In a two-force body equilibrium scenario, why must the line of action of force F2 pass through point A?
To ensure that the sum of moments about A is zero.
Which type of equilibrium requires that the sum of forces in any direction be zero?
Static equilibrium
What conclusion can be drawn about the magnitude and sense of forces F1 and F2 in a two-force body equilibrium?
F1 and F2 have equal magnitudes but opposite senses.
What is the key requirement for summing moments about point B to be zero in a two-force body equilibrium?
The line of action of force F2 must pass through point B.
Why is it important to create a free-body diagram when analyzing frames and cables?
To visualize all acting forces and moments on the system.
Test your knowledge on the necessary and sufficient conditions for the static equilibrium of a body. Understand how the resultant force and couple from external forces should sum up to zero, along with resolving forces and moments into their components.
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