In each case, identify any two-force members, and then draw the free body diagrams of each member of the frame.
Prob. P6-3
(a)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
Show the free body diagram of the member of the frame as in Figure (1).
(b)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
The member CB is a two force member.
Show the free body diagram of the members of the frame as in Figure (2).
(c)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
The member CD is a two force member.
Show the free body diagram of the members of the frame as in Figure (3).
(d)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
Show the free body diagram of the members of the frame as in Figure (4).
(e)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
The member BC is a two force member.
Show the free body diagram of the members of the frame as in Figure (5).
(f)
To identify and draw: The two force members and the free body diagrams of each member of the frame.
Explanation of Solution
Assumptions:
- Consider the state of member as tension where the force is pulling the member and as compression where the force is pushing the member.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upside is taken as positive and downside as negative in vertical components of forces.
The member BC is a two force member.
Show the free body diagram of the members of the frame as in Figure (5).
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