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

COLLEGE OF ENGINEERING AND ARCHITECTURECivil Engineering Department

CE 001Statics of Rigid Bodies

PROBLEM SET # 1

Use separate sheet of clean short bondpaper for your solution(s) and final answer(s). BOX your final answers.

NAME: ______________________________________________________________________________________SECTION: ______________________________________

1. The homogeneous 60-kg disk supported by the rope AB rests against a rough vertical wall. Using the given FBD, determine the force in the rope and the reaction at the wall.

2. A rigid frame is fabricated by joining the three bars with pins at B, C, and D, as shown. The frame is loaded by the 5000 N force and the 1800 N.m couple. The supports consist of a pin at A and a roller support at E. Find reactions A, B, C, D, E.

3. The force system shown consists of the couple C and four forces. If the resultant of this system is a 75000N.mm counterclockwise couple, determine P, Q, and C.

4. In the system shown, given T1 = 80 N, T2 = 100N, and T3 = 50 N, what must be the weight of the crate to maintain equilibrium?

5. Determine the mass of the heaviest uniform bar that can be supported in the position shown if the breaking strength of the horizontal cable attached at C is 15 kN. Neglect friction.

6. Compute the force F to make the system in equilibrium.

7. Determine the resultant acting on the gusset plate.

8. A fixed support has three reactions. One horizontal force, a vertical force and a moment. At equilibrium situation, compute for the three reactions at the fixed support A: Ax, Ay & MA.

9. Determine the all the reactions at each connection. Reminder: The reaction at a certain point or connection is the resultant of the components (x and y) at the said point or connection. E.g. Reaction at A is the square root of the sum of the squares of Ax and Ay or A =

√A x2+Ay 2.

10. At equilibrium situation, what is P and θ?

11.