CIT-U Civil Engineering Department
CECC483 – CE Comprehensive Course 2
CECC483 – STATICS 2D
STATICS – 2D
SITUATION. The screw eye hook shown below is subjected
to three forces, A, B, and C. A = 10 kN, B = 8 kN.
SITUATION. The 24-m long symmetrical parabolic cable
shown below is pinned at both ends and is carrying a
uniform load. The vertical height of the lowest point is 2 m
below the support.
7.
8.
9.
If the uniform load is 600 N/m, calculate the tension in
the cable at a point 6 m from the left support.
If the maximum allowable tension in the cable is 2000
N, calculate the largest uniform load that can be
carried.
If the vertical height of the right support is now 6 m
above the left support, calculate the maximum tension
in the cable.
SITUATION. Refer to the truss shown below. Members CJ,
DK, DI, and EJ are cables. The truss carries a downward
vertical force of 10 kN at L and 15 kN at F. Joints are spaced
2 m horizontally, and the vertical height of the truss is 4 m.
1.
2.
3.
If C = 12 kN and 𝛽 = 30°, calculate the resultant.
If the resultant of the three forces is 8.5 kN acting along
the positive vertical axis, find 𝛽 in degrees.
If 𝛽 = 50°, calculate the value of C such that the
resultant acts along the positive vertical axis.
SITUATION. The boom BCD carries a load W = 30 kN and is
supported with cables AC and AD as shown below. The
boom makes an angle of 𝜃 = 60° with the vertical. The
pulley at D is frictionless. If L1 = L2 = 2.0 m,
10. Calculate the force carried by DI.
11. Calculate the force carried by CJ.
12. Calculate the force carried by EH.
4.
5.
6.
Determine the angle 𝛼.
What is the tension at cable AC?
What is the total reaction at B?
CIT-U Civil Engineering Department
CECC483 – CE Comprehensive Course 2
CECC483 – STATICS 2D
SITUATION. To prevent the 750 N ladder from sliding down,
a man exerts a horizontal force P as shown in the figure
below. The coefficient of friction at A and B is 0.25 and 0.18,
respectively.
SITUATION. Refer to the built-up section shown below.
Prop. C200X27.9
A = 3550 𝑚𝑚2
𝑥̅ = 14.4 𝑚𝑚
d = 203 mm
tw = 12.4 mm
bf = 64.3 mm
tf = 9.91 mm
Ix = 18.3 × 106 𝑚𝑚4
Iy = 0.820 × 106 𝑚𝑚4
Prop. W200X31.3
A
d
tf
Ix
Iy
= 3970 𝑚𝑚2
bf = 134 mm
= 210 mm
tw = 6.35 mm
= 10.2 mm
= 31.3 × 106 𝑚𝑚4
= 4.07 × 106 𝑚𝑚4
13. Determine the vertical reaction at A.
14. Determine the force, P, exerted by the man.
15. Determine the horizontal reaction at B.
SITUATION. The position of the plate before it is lifted is
shown below. It is 10 mm thick and weighs 4000 𝑘𝑔/𝑚3 .
Calculate the following:
19. The location of the centroid from the bottom of the
built-up section.
20. The moment of inertia about the major axis.
21. The moment of inertia about the minor axis
16. By how much in degrees from the horizontal does the
plate tilt after it is lifted?
17. Calculate the tension in cable AC.
18. Calculate the tension in cable BC.
CIT-U Civil Engineering Department
CECC483 – CE Comprehensive Course 2
CECC483 – STATICS 2D
TAKE HOME PROBLEMS
SITUATION. Refer to the figure below. Forces V and H act on
joint C as shown. Members AC and BD are cables.
a = 1.0 m
b = 3. 0 m
c = 4.0 m
1.
2.
3.
SITUATION. The portable chair shown in the figure below is
subjected to a vertical load P = 1500 kN. It is braced by a
cable at FG. The coefficients of friction at D and E are 0.25
and 0.20, respectively.
V = 20 kN
H = 30 kN
Calculate the reaction at B.
Determine the force carried by member BC.
Determine the force carried by member BD.
SITUATION. The homogenous 2500-kg plate is set into place
using three cables attached at A, B, and C as shown below.
7.
8.
9.
Calculate the reaction at B.
Calculate the tension carried by cable FG.
Calculate the reaction at D.
SITUATION. The 0.4-m diameter cylinders are placed in a
0.7-m wide bin shown below. Each cylinder weighs 200 N.
4.
5.
6.
Calculate the tension at A.
Calculate the tension at B.
If each cable can carry a maximum of 15 kN, calculate
the weight (kN) of the heaviest plate that can be
carried.
10. Calculate the angle between the centers of A and B.
11. Calculate the reaction at the interface of circles B and
C.
12. Calculate the reaction at D.