IDE 110 Quiz 0
Name: _______________________
Section: ___________________
1A, 1B, or 1C
Select the best (closest) answer.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
a
b
c
d
e
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
O
value
8
8
8
8
8
8
8
8
8
8
10
10
1. Axial loads are applied with rigid bearing plates to the solid cylindrical rods
shown. Determine the axial load in rod (2) if forces F1 = 35 kips and F2 = 35
kips.
a.
b.
c.
d.
e.
15 kips
10 kips
20 kips
-30 kips
25 kips
2. A rigid bar ABCD is
supported by two bars as
shown in the figure. If load P
= 15 kN and the normal force
in rod (1) is 5 kN
(compression), determine the
normal force in rod (2).
a.
b.
c.
d.
e.
12.3 kN
14.2 kN
16.5 kN
13.7 kN
17.1 kN
3. Two solid cylindrical rods support a load of
P = 25 kN as shown. Determine the normal force
in rod (2).
a.
b.
c.
d.
e.
22.5 kN
18.9 kN
25.3 kN
11.2 kN
14.0 kN
Determine the magnitude of the ground reactions at point A on the following beams.
4. Vertical force Ay:
a.
b.
c.
d.
e.
9 kN
13 kN
10 kN
11 kN
12 kN
5. Moment MA:
a.
b.
c.
d.
e.
32 kN-m
23 kN-m
28 kN-m
25 kN-m
19 kN-m
6. Vertical force Ay:
a.
b.
c.
d.
e.
27.5 kN
63.8 kN
36.9 kN
44.2 kN
59.1 kN
7. Use the graphical method to construct the
shear-force diagram and identify the magnitude
of the largest shear force (consider both positive
and negative). The ground reactions are shown.
a.
b.
c.
d.
e.
18 kN
36 kN
47 kN
26 kN
55 kN
8. Use the graphical method to construct the
shear-force diagram and identify the magnitude of
the largest shear force (consider both positive and
negative). The ground reactions are shown.
a.
b.
c.
d.
e.
192 kN
183 kN
205 kN
213 kN
175 kN
9. Use the graphical method to construct the
bending-moment diagram and identify the
magnitude of the largest moment (consider both
positive and negative). The ground reactions and
shear-force diagram are shown.
a.
b.
c.
d.
e.
65 kN-m
90 kN-m
85 kN-m
70 kN-m
75 kN-m
10. Use the graphical method to construct the
bending-moment diagram and identify the
magnitude of the largest moment (consider both
positive and negative). The ground reactions and
shear-force diagram are shown.
a.
b.
c.
d.
e.
33.5 kN-m
42.0 kN-m
52.3 kN-m
58.9 kN-m
39.2 kN-m
11. If w = 15 in., find the distance to the centroid from the bottom of the
beam.
a.
b.
c.
d.
e.
15.4 in.
15.9 in.
15.1 in.
15.7 in.
14.8 in.
12. If w = 5 in., find the moment of inertia about
the z axis. The centroid of the section is located
2.583 in. from the bottom of the beam.
a.
b.
c.
d.
e.
8.71 in.4
11.1 in.4
9.46 in.4
12.3 in.4
10.7 in.4
x =
Σxi Ai
ΣAi
Σyi Ai
ΣAi
y =
I = Σ ( I c + d 2 A)
Table A.1 Properties of Plane Figures
1. Rectangle
y′
6. Circle
y
y
−
x
A = bh
bh3
12
hb3
Iy =
12
hb3
I y′ =
3
h
2
b
x =
2
bh3
Ix′ =
3
y =
x
h
C
−
y
x′
b
Ix =
πd 2
4
πr 4
πd 4
Ix = Iy =
=
4
64
r
A = πr 2 =
x
C
d
2. Right Triangle
7. Hollow Circle
y
y′
y
bh
2
h
y =
3
b
x =
3
bh3
Ix′ =
12
A=
−
x
h
−
y
C
x
x′
b
bh3
36
hb3
Iy =
36
hb3
I y′ =
12
Ix =
π 2
(D − d 2 )
4
π
I x = I y = ( R4 − r 4 )
4
π
(D4 − d 4 )
=
64
A = π ( R2 − r 2 ) =
R
r
x
C
d
D
3. Triangle
8. Parabola
y′
bh
2
h
y =
3
(a + b)
x =
3
bh3
Ix′ =
12
y′
A=
a
y
−
x
h
−
y
C
x
x′
y
−
x
bh3
36
bh 2
(a − ab + b 2 )
Iy =
36
h 2
x′
b2
2bh
A=
3
3b
x =
8
y′ =
Ix =
x
h
C
−
y
x′
b
y =
3h
5
y =
3h
10
Zero slope
b
4. Trapezoid
9. Parabolic Spandrel
a
h
x
−
y
C
(a + b)h
A=
2
1 2a + b
y =
h
3 a+b
h3
(a 2 + 4 ab + b 2 )
Ix =
36 (a + b)
(
y′
)
y
−
x
h 2
x′
b2
bh
A=
3
3b
x =
4
y′ =
Zero
slope
h
−
y
C
b
x
x′
b
5. Semicircle
10. General Spandrel
A=
y, y′
r
C
−
y
x
x′
696
y′
πr 2
2
4r
y =
3π
I x ′ = I y′ =
Ix =
πr 4
8
( π8 − 98π )r
4
y
−
x
h n
x′
bn
bh
h
A=
x
n
+1
−
y
x′
n +1
x =
b
n+2
y′ =
Zero
slope
C
b
y =
n +1
h
4n + 2