statics prob set 1

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TECHNOLOGICAL INSTITUTE OF THE PHILIPPINES
938 Aurora Boulevard, Cubao, Quezon City
COLLEGE OF ENGINEERING AND ARCHITECTURE
Civil Engineering Department
CE 001
Statics 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.
2.
3.
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.
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.
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.
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.
7.
Determine the resultant acting on the gusset plate.
11.
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 =
√Ax2+Ay2.
10. At equilibrium situation, what is P and θ?
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