TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES938 Aurora Boulevard, Cubao, Quezon City

COLLEGE OF ENGINEERING AND ARCHITECTURECivil Engineering Department

CE001Statics of Rigid Bodies

PROBLEM SETMidterm Period

Name: _____________________________________Section: _________________________

1. Determine all the forces in each member of the truss shown:

2. The horizontal boom OC, which is supported by a ball-and-socket joint and two cables, carries the vertical force P = 8000N. Calculate TAD and TCE, the tensions in the cables, and the components of the force exerted on the boom by the joint at O. Weight of the boom is negligible. In equilibrium.

3. Determine the forces in the following members of the truss: FI and JC. Indicate tension or compression.

4. Compute the forces in members CD and JK, given that P = 3000N and Q = 1000N. (Hint: Use the section indicated by the dashed line.)

5. Determine the forces in members BC, CE, and FG.

6. The magnitudes of the three forces acting on the plane are T1= 100 kN, T2 = 80 kN and T3 = 50 kN. Replace these forces with a single equivalent force R.