CE 201 Final Exam
Exam Date: 6/27/25
Exam Time: 3:30 PM – 5:30 PM
Read the directions carefully. State any assumptions you make.
General Requirements:
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FE-Approved Calculator (see syllabus for calculator policy)
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Will have to show work station and surrounding area of the room before the exam and
randomly during the exam.
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Provided NCEES Reference Manual Version 10.5
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10 FE-style problems, 2 points each
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8 Engineering Essay problems, 10 points each
FE-Style Problems (20 points)
No partial credit will be awarded for these problems. You will either earn all 2 points or no
points for each problem.
1)
The particle is subject to the three forces shown. If the vertical spring has a stiffness of 200
lbs/in and will be stretched 0.25 inches by force F3, what is most nearly the magnitude of F1
(in lbs)? (2 points)
F1
o
θ 2 = 65
o
θ1 = 50
F3
a) 33
b) 47
c) 50
d) 200
F2
2) For the figure below, which of the following the unit vector for the cable AB if x = 4 ft, y = 2
ft and z = 6.63 ft. (2 points)
a) u = 4i + 2j + 6.63k
b) u = 0.5i + 0.25j + 0.83k
c) u = 4i + 2j - 6.63k
d) u = -0.5i - 0.25j
Refer to the truss below for problems 3 and 4.
3) What is most nearly the force in member CD in lb? (2 points)
a) 3,400
b) 4,500
c) 5,600
d) 6,800
4) Which of the following is a zero-force member? (2 points)
a) FG
b) EF
c) DH
d) CI
5) Which of the following the vector formulation for computing the moment about a point when
the force is three-dimensional? (2 points)
a) M = F x r
b) M = r x F
c) Neither a nor b.
d) Both a and b.
6) What is the shear force (in N) at a location 2 m to the left of the free-end? (2 points)
a) 200
b) 250
c) 433
d) 0
7) Which of the following is most nearly the centroid of the shaded area ybar in mm? (2 points)
a) 150
b) 210
c) 0
d) 220
8) What is most nearly the force P needed to support the 30-kg mass using the Spanish Burton rig,
in N? (2 points)
a) 294
b) 32.7
c) 30
d) 3.3
9) For the loaded beam shown, which figure shows the shape of the bending moment diagram? (2
points)
w
P
4
x
A
B
x
C
x
x
D
10) Which of the following is most nearly the vertical reaction at B in kN? (2 points)
3 kN/m
C
A
B
1m
a) 37.5
b) 28.1
c) 9.4
d) 3
4m
Engineering Essay Problems (80 points)
Show all work for these problems. Partial credit may be awarded. If I cannot interpret what you
are doing, points will be deducted.
Problem One (10 points)
The mine car and its contents have a total mass of 6 Mg and center of gravity G. If the coefficient of
static friction between the wheels and tracks is 0.4 when the wheels are locked, find the normal force
acting on the front wheels at B and the rear wheels at A when the brakes at both A and B are locked.
[Note there are 2 wheels at A and 2 wheels at B.]
Problem Two (10 points)
Given the axially-loaded bar.
20 kN
15 kN
15 kN
4m
2m
3m
a. Draw the free-body diagram for the bar and solve for the external support reactions. (3 points)
b. Use the Method of Sections to determine the internal axial force in each segment of the bar. (7
points)
Problem Three (10 points)
Refer to the truss below
a. How many equilibrium equations are applicable at each joint? (3 points)
b. Use Method of Joints to compute the member forces. The weight is 15 kN. (7 points)
Problem Four (10 points)
Refer to the system below. The Cartesian force F1 is, F1 = 86.5i + 186j - 143k [N]
a. Determine the Cartesian force F2. (4 points)
b. Determine the resultant force as a Cartesian vector. (2 points)
c. Determine the coordinate direction angles of the resultant force. (4 points)
Problem Five (10 points)
Compute the external support reactions for the compound beam below.
400 lbs
200 plf
A
C
B
10 ft
20 ft
20 ft
Problem Six (10 points)
Locate the distance ybar to the center of gravity of the homogeneous rod bent into a parabolic shape.
Show all the details of how to SET UP the integrals. You may use your calculator to evaluate the
integrals.
Problem Seven (10 points)
Refer to the shape below. The thicknesses of both segments is 0.25 inches. Take the bottom left
corner of the shape the origin.
4 in
3 in
a. Determine the y-coordinate of the centroid of the shape. (3 points)
b. Determine the moment of inertia about the centroidal x-axis. (7 points)
Problem Eight (10 points)
Refer to the simply-supported beam shown below. Draw the shear force and bending moment diagrams using
the graphical method.
0.4 klf
B
A
x
10 ft
Extra Credit (10 points)
Refer to the stress-strain diagram below. Compute the modulus of elasticity.