Question

Asked Aug 20, 2019

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Determine the force in each member of the truss ABCD. The truss supports a vertical load of P_{1}=1.50kN at Point B and a horzontal load P_{2}=2.25kN at Point D. The truss is supported by a pin connection at Point C and a roller at Point A and the truss dimensions are L_{1}=3.6m, L_{2}=3.6m, and L_{3}=4.8m. State whether the members are in tension or compression.

Step 1

Apply the sign conventions for calculating reactions, forces and moments using the three equations of equilibrium as shown below.

- The forces acting towards right side as positive and the forces acting towards left side as negative.
- The upward force as positive and the downward force as negative.
- The clockwise moment as negative and the counter clockwise moment as positive.

Show the free body diagram of the truss as shown in Figure 1.

Step 2

Apply the Equations of Equilibirium as follows:

Step 3

Calculate the value of the...

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