Name: _
Section: _
Problem #1 (20 points): The three-dimensional truss, shown below, is supported on rollers at
points A, B, and C. A load of 8 kN acts vertically downward at point D. Coordinates for the
points are: A = (6,0,0), B = (3,4.5,0), C = (0,0,0)

Name: _
Section: _
Problem #1 (40 points): The triangular truss is supported by a pinned connection at A and by a
cable at B. Forces are imposed at several joints as shown below.
(a) Identify all zero-force members by
inspection.
(b) Find the forces in me

Name: _
Section: _
Problem #1 (35 points): A 40 lb lamp is suspended by two cables AB and AC, each having an
initial length of 5 ft. Cable AB is made of aluminum (E = 10 x 106 psi, = 0.333) and cable AC
is made of steel (E = 30 x 106 psi, = 0.300). Initia

Name: _
Section: _
Problem #1 (20 points): Two uniform blocks are subjected to a force P as shown. Block A
weighs 900 lb and moves along the inclined ramp. Block B weighs 600 lb and rests on top of A.
In addition, block B lies between two sets of friction

H.07: A uniform plate weighing 200 lb is supported in a horizontal position (x-y plane) by a
single hinge at A and a cable BC. Find (a) ALL components of the reaction at the hinge, and (b)
the tension in the cable. (Hint: For this problem, the hinge at A

H.08: The space truss ABCD is supported by rollers at points A, B, and C. A load of 8 kN acts
vertically downward at point D. Coordinates for the points are: A = (6,0,0), B = (3,4.5,0), C =
(0,0,0), and D = (3,2,6) m. Determine (a) the reaction forces at

H.09: Three forces (Cx = 75 lb, Cy = 100 lb, and Cz = 80 lb) are applied to the end of a bent
rod. Points A, B, and C lie along the axis of the rod at the locations shown. Coordinates for the
points are: A = (0, 0, 0) in, B = (8, 0, 0) in, and C = (8, 3,

Name: _
Section: _
Problem #1 (30 points): The force F of magnitude 80 lb acts at the end of the pipe assembly at
point B, and is directed along the line BC as shown. Coordinates for points A, B, and C are
given as follows: A = (0,1,0), B = (2,3,-1), and

y
y
c
x = b/3
I xc =
y
AREA = bh/2
xc
C
r
x
O
b
TRIANGULAR AREA
y
y = 3h/5
b
C
x
x
O
a
SEMIELLIPTICAL
AREA
PARABOLIC AREA
AREA = r 2
AREA = (ah)/(n + 1)
y
a
r
o
x
AREA = ab/2
4b
y=
3
y
a
y
n
y = Kx
C
h
x
C
O
x = 2r sin /(3 )
FG
H
FG
H
x
y = (n + 1)h/(4n +

H.06: A tower construction crane is exerting a force F = 840 N along cable BC, which connects
the trolley (B) to a point on the ground (C). The crane contains a fixed support at the base A.
The vertical tower lies along the z-axis, and the horizontal boom

H.05: The frame shown below is composed of three members: ABC, BED, and CEF. There are
pinned connections at A, B, C, D and E and a rocker support at F. Determine the horizontal and
vertical forces at pins B and C. (Note the pulley at D has a radius of 1

H.04: When a bicycle rider squeezes the brake lever on the handlebars, the lever pulls a
cable that is attached to the brake calipers. The cable pulls up at G on a wire attached to
B and C, causing the two calipers to rotate about pin A and engage the whe

Name: _
Section: _
Problem #1 (25 points): For the shaded area shown, calculate the location of the centroid ( x , y )
For a quarter circular area:
A=
4
r2
x=y=
4r
3
Name: _
Section: _
Problem #2 (25 points): For the shaded area shown, calculate the locat

Answer Key for Old Exam Problems - Exam #2
Axial Loading & Material Property Problems:
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
AC = 16.98 ksi
AB = 0.02546 in
AC = 0.03396 in
AB = 4.244 ksi
-6
dAC = 8.49 10-6 in
the lamp moves left
dAB = 14.13 10 in
-3
No dBC = 1.

Name: _
Section: _
Problem #1 (20 points): The frame is used to support a load of sand that weighs 70 lb. The sand
hangs from a cable that passes around a frictionless pulley (radius = 0.5 ft) at D and is anchored
to the wall. The structure is rigidly att

Name: _
Section: _
Problem #1 (35 points): The two cylinders A and B are supported by a series of rings and
cables, as shown. For this configuration, both cylinders are in equilibrium, and cylinder A
weighs 50 lb.
(a) Draw the FBD(s) necessary to solve th

H.02: The stepped bar shown below is composed of an unknown material which has an elastic
portion of its stress-strain diagram shown below. The original length (before the external loads
are applied) of section BC is 1.5 m and its original diameter is 0.1

H.03: The frame shown below is composed of three members (ABCD, CEF, and BE) that are
connected to each other through pins at B, C, and E. The frame is supported by a pin at A and a
roller at F. A horizontal force of 75 lb is applied at point D, as shown.

H.01: The overhanging beam AB is supported by a pinned connection at A and by a roller at B.
The beam is subjected to a concentrated force (3 kN), a concentrated moment (24 kN-m), a
uniform distributed load (6 kN/m), and a linear distributed load (q0 = 6