ENG.35SummerSessionII
HW#3
1. Determine the force in each member of the double-pitch roof truss shown. State whether each member
is in tension or compression.
4m
4m
4m
3m
3m
2 kN
2 kN
F
2 kN
1.5 kN
6m
D
1 kN
G
0.75 kN
B
H
A
C
E
6m
6m
6m
2. For the given l
ENG.35 Summer Session II
HW #1
1. A telephone cable is clamped at A to the pole AB. Knowing that the tension in the right-hand portion of
the cable is T2=1000 lb, determine (a) the required tension T1 in the left-hand portion if the resultant of
the force
PROBLEMS
6.1 through 6.8
Using the method of joints, determine the force
in each member of the truss shown. State whether each member
is in tension or compression.
3m
945 lb
A
1.25 m
A
B
A
9 ft
4m
84 kN
4m
C
B
1.92 kN
12 ft
3m
3.75 ft
C
Fig. P6.1
Fig. P6.
PROBLEMS
5.1 through 5.9 Locate the centroid of the plane area shown.
y
30 mm
y
20 mm
30 mm
y
300 mm
12 in.
36 mm
21 in.
30 mm
15 in.
24 mm
x
240 mm
x
x
Fig. P5.1
Fig. P5.2
Fig. P5.3
y
6 in.
8 in.
y
6 in.
6 in.
y
8 in.
120 mm
3 in.
r = 4 in.
6 in.
6 in.
r
PROBLEMS
2.1 Two forces P and Q are applied as shown at point A of a hook
support. Knowing that P 5 75 N and Q 5 125 N, determine
graphically the magnitude and direction of their resultant using
(a) the parallelogram law, (b) the triangle rule.
2.2 Two fo
E35
UNIVERSITY OF CALIFORNIA, DAVIS
College of Engineering
Midterm Exam
Fall 2014
Nov. 7, 2014
This exam is open printed sources textbook and course notes. No computers or
other electronic devices. Please be sure to write your name and student ID number
a
ENG 35 Statics
Instructor:
Winter 2015
John Bolander
3121 Ghausi Hall
TEL 752-8226
email [email protected]
Office Hours: Fri 4:30-6:00, and by appointment
Text:
Vector Mechanics for Engineers - Statics (th edition) by F.P. Beer et al.
Grading:
Homewo
PROBLEMS
7.1 and 7.2
Determine the internal forces (axial force, shearing
force, and bending moment) at point J of the structure indicated.
7.1 Frame and loading of Prob. 6.79
7.2 Frame and loading of Prob. 6.80
7.3 Determine the internal forces at point
PROBLEMS
4.1 A 2100-lb tractor is used to lift 900 lb of gravel. Determine the
reaction at each of the two (a) rear wheels A, (b) front wheels B.
900 lb
G
A
B
20 in.
40 in.
50 in.
Fig. P4.1
4.2 A gardener uses a 60-N wheelbarrow to transport a 250-N bag o
PROBLEMS
3.1 A foot valve for a pneumatic system is hinged at B. Knowing that
a 5 28, determine the moment of the 16-N force about point B
by resolving the force into horizontal and vertical components.
16 N
A
3.2 A foot valve for a pneumatic system is hi
PROBLEMS
8.1 Determine whether the block shown is in equilibrium and find the
magnitude and direction of the friction force when u 5 25 and
P 5 150 lb.
ms
mk
240 lb
0.35
0.25
P
q
Fig. P8.1 and P8.2
8.2 Determine whether the block shown is in equilibrium a
PROBLEMS
y
9.1 through 9.4 Determine by direct integration the moment of
inertia of the shaded area with respect to the y axis.
b
9.5 through 9.8
Determine by direct integration the moment of
inertia of the shaded area with respect to the x axis.
h
x
Fig.
ENG35SummersessionII
HW#4
1. For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the
maximum absolute values of the shear and bending moment.
10 kN
8 kN/m
2m
B
A
C
2m
4m
D
E
3m
2. Determine whether the block shown
ENG.35 Summer Session II
HW #2
1. A hexagonal plate is acted upon by the force and the couple shown. Determine the magnitude and
the direction of the smallest force for which this system can be replaced with a single force at E.
P
B
C
A
280 N
280 N
D
F
E
Chapter 6, Solution 1
AB BC
32 1.252 32 42
3.25 m 5m
Reactions:
MA 0: (84 kN)(3 m) C (5.25 m) 0
C
Fx 0: Ax C Ax 0 48 kN
48 kN
Fy
0: Ay Ay
84 kN 84 kN
0
Joint A:
Fx 0: 48 kN 12 FAB 13
FAB
0
52 kN FAB 52 kN T
Fy
0: 84 kN
5 (52 kN) FAC 13
FAC
0
64.0 kN FAC 6
ENG 35 Winter 2017
Summary for the Midterm Exam
To be prepared for the midterm exam on Feb. 16, you should know that:
1.
Forces are representable by vectors: vectors add, scale, and negate in exactly
the same way that forces do.
2.
Vectors have magnitude
ENG 35 Winter 2017
Summary for the Final Exam
This summary is an update of the previously-distributed midterm-exam summary.
To be prepared for the final exam on March 21, you should know that:
1.
Forces are representable by vectors: vectors add, scale, an
ENG 35 Winter 2017
Summary of Shear-Force and Bending-Moment Relationships in Beams
The shear force V (x) and bending moment M(x) in a straight beam are related
by
dV
+ w(x) = 0 ,
dx
dM
= V (x)
dx
throughout the beam, where w(x) is the distributed load in
ENG 35 Statics Winter 2017
Quiz 4 Open Course Notes Only
A uniform-diameter Wire (weight per unit length 2.) is bent into the shape shown,
and supported by a pin at A. The wire is released from the position shown, where-
upon it falls. Eventually the wire
ENG 35 Statics Winter 2017
Quiz 5 - Open Course Notes Only
The gure shows a circular disc (radius a) covering a submerged standpipe. In the
lefthand part of the gure, the disc is shown in cross-section, while it is shown in
elevation view at right. In bot