Determine the force in each member of the roof truss shown. State whether each member is in tension (T) or compression (C). 6 m 6 m 1.2 kN 2.4 kN 2.4 kN 1.2 kN 7.5 m Fig. P6.13

Answers

Answer 1

The force in each member of the roof truss can be determined using the method of joints. The members are subjected to either tension or compression.

How can the force in each member of the roof truss be determined using the method of joints?

To determine the force in each member of the roof truss, we can analyze the equilibrium of forces at the joints. Starting from a joint with known forces, we can apply the equations of static equilibrium to calculate the unknown forces in the other members.

Considering the given roof truss, let's begin with the joint at the bottom left corner. Since the horizontal forces are balanced, the 1.2 kN load is evenly distributed between the two members connected to that joint. Therefore, each member experiences a force of 0.6 kN (tension).

Moving to the rightmost joint, the vertical forces are balanced, resulting in equal and opposite forces in the two members connected to that joint. Hence, each of these members carries a force of 2.4 kN (compression).

Finally, analyzing the topmost joint, we find that it is in equilibrium both horizontally and vertically. The horizontal force in the member connected to the 1.2 kN load is zero, while the vertical force is balanced by the 2.4 kN load. Thus, the member connected to the 1.2 kN load is in compression (2.4 kN), while the other member is in tension (2.4 kN).

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