
Concept explainers
Find the force in each bar and mention the force is tension or compression of the bars in the truss.

Explanation of Solution
Assumptions:
- Consider the state of bars as tension (T) where the force is pulling the bar and as compression (C) where the force is pushing the bar.
- The sign of the force in the bar is positive when the force is in tension and negative when the force is in compression.
- Consider the force indicating right side as positive and left side as negative in horizontal components of forces.
- Consider the force indicating upward is taken as positive and downward as negative in vertical components of forces.
- Consider clockwise moment as negative and anti-clock wise moment as positive wherever applicable.
Show the free-body diagram of the entire truss as in Figure 1.
Find the vertical reaction at point G by taking moment about point A.
Find the vertical reaction at point A by resolving the vertical component of forces.
Find the horizontal reaction at point A by resolving the horizontal component of forces.
Consider the joint G;
Show the forces acting at the joint G as in Figure 2.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint A;
Show the forces acting at the joint A as in Figure 3.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint H;
Show the forces acting at the joint H as in Figure 4.
Resolve the horizontal component of forces.
Resolve the vertical component of forces.
Use the proportion:
Substitute
Substitute
Solve the Equation (3) and (4);
Consider the joint B;
Show the forces acting at the joint B as in Figure 5.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint F;
Show the forces acting at the joint F as in Figure 6.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint I;
Show the forces acting at the joint I as in Figure 7.
Resolve the horizontal component of forces.
Resolve the vertical component of forces.
Use the proportion:
Substitute
Substitute
Solve the Equation (7) and (8);
Consider the joint C;
Show the forces acting at the joint C as in Figure 8.
Resolve the vertical component of forces.
Use the proportion:
Resolve the horizontal component of forces.
Consider the joint E;
Show the forces acting at the joint E as in Figure 9.
Resolve the vertical component of forces.
Use the proportion:
Show the forces in the bars of the truss as in Figure 10.
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