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Questions and Answers
What is the necessary and sufficient condition for the static equilibrium of a body?
What is the necessary and sufficient condition for the static equilibrium of a body?
- Resultant force from all external forces is zero
- Resultant force and couple from all external forces form a system equivalent to zero (correct)
- Resultant force and moment from all external forces form a system equivalent to 1
- Resultant moment from all external forces is zero
How many scalar equations are formed by resolving each force and moment into its rectangular components for static equilibrium?
How many scalar equations are formed by resolving each force and moment into its rectangular components for static equilibrium?
- 5
- 3
- 6 (correct)
- 4
What is the first step in the static equilibrium analysis of a rigid body?
What is the first step in the static equilibrium analysis of a rigid body?
- Drawing a free-body diagram (correct)
- Calculating the moments of the forces
- Resolving forces into components
- Identifying the known external forces
What do reactions at supports and connections for a two-dimensional structure equivalent to?
What do reactions at supports and connections for a two-dimensional structure equivalent to?
In static equilibrium, what does the sum of moments about a point need to be?
In static equilibrium, what does the sum of moments about a point need to be?
When detaching a free-body diagram from other bodies, what should be included in the diagram?
When detaching a free-body diagram from other bodies, what should be included in the diagram?
In static equilibrium, the sum of the moments of forces F1, F2, and F3 about any axis must be:
In static equilibrium, the sum of the moments of forces F1, F2, and F3 about any axis must be:
For a rigid body in equilibrium, what condition must be satisfied regarding the lines of action of the forces?
For a rigid body in equilibrium, what condition must be satisfied regarding the lines of action of the forces?
What is the key condition for a three-force body to be in static equilibrium?
What is the key condition for a three-force body to be in static equilibrium?
When determining the direction of a reaction force, it must pass through which point?
When determining the direction of a reaction force, it must pass through which point?
What type of triangle can be utilized to determine the magnitude of a reaction force?
What type of triangle can be utilized to determine the magnitude of a reaction force?
What is the sum of moments about any axis for a rigid body in static equilibrium?
What is the sum of moments about any axis for a rigid body in static equilibrium?
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?
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?
In a two-force body equilibrium scenario, why must the line of action of force F2 pass through point A?
In a two-force body equilibrium scenario, why must the line of action of force F2 pass through point A?
Which type of equilibrium requires that the sum of forces in any direction be zero?
Which type of equilibrium requires that the sum of forces in any direction be zero?
What conclusion can be drawn about the magnitude and sense of forces F1 and F2 in a two-force body equilibrium?
What conclusion can be drawn about the magnitude and sense of forces F1 and F2 in a two-force body equilibrium?
What is the key requirement for summing moments about point B to be zero in a two-force body equilibrium?
What is the key requirement for summing moments about point B to be zero in a two-force body equilibrium?
Why is it important to create a free-body diagram when analyzing frames and cables?
Why is it important to create a free-body diagram when analyzing frames and cables?
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