Meriam, Kraige & Bolton — Equilibrium of Rigid Bodies: Problem 4_48

⚡ Mecademy AIENG정역학 · ch4  Problem Statement Determine the force in member of the loaded overhead sign truss. Problem 4/48 (a) Force in member ● Calculation Process 1. Analyze Truss Geometry and Loading: The truss is an overhead sign truss with 6 panels, each long. The vertical distance from the top chord () to the middle chord ( ) is . The vertical distance from the middle chord () to the bottom chord ( ) is . Vertical loads are applied at nodes (), (), and (). Support points and are below the bottom chord. 2. Identify Member and Joints: Node is on the top chord at from the left. Node is on the bottom chord at from the left. Point is on the middle chord at from the left, serving as the intersection for diagonals. Member consists of segments and in a K-truss configuration. 3. Equilibrium of Joint : At joint , the members connected are (horizontal), (horizontal), and (vertical). Crucially, based on the diagram, no diagonal members are connected to joint . The load is applied vertically downward at joint . DK DK 8 ft A−GO−H 5 ft O−H N−I5 ft L1 kipK2 kipsJ4 kips UV20 ft DK Dx=24 ft Kx=24 ft Rx=24 ft DKDRRK K KLKKJ RK K 2-kipK Applying the equilibrium equation in the vertical direction: Since the force is directed away from the joint, segment is in tension. 4. Equilibrium of Joint : At joint , the members connected are (horizontal), (horizontal), and (vertical). Again, no diagonal members are connected to joint , and there is no external vertical load at this joint. Applying the