Tutorial No. 1
1/3
Date: 2011 01 14
Tutorial No. 1
ENG 1440 Introduction to
Name:
Statics (A01)
Student ID: .
1. For the triangle shown and for the data given, fill in the gaps in the Table below. Give
answers of the lengths up to three decimals and of t
Example 2.12
J. Frye
Example 2.12
A prehistoric spider of mass 7 kg is suspended from a portion
of its web attached to two giant trees as shown in the figure.
Assuming that the spider is in static equilibrium, determine the
magnitude of the tension in str
Example 2.2
J. Frye
Example 2.2:
The cable stays AB and AD support a transmission pole AC. Knowing
that the tension is 1500 N in AB and 600 N in AD, determine the
magnitude and direction of the resultant, R, of the forces exerted by the
stays at A;
(a) gr
Example 2.3
J. Frye
Example 2.3:
Two snowmobiles are pulling a disabled snowmobile by means of two ropes. The tension
in rope AB is 1500 N and the angle is 20o. Knowing that the resultant of the two forces
applied at A is directed along the longitudinal a
Identifying 2-Force Members
in Frames
Prior to Sub-structuring (Drawing FBDs of each
member of the frame), it is important to take a
minute to identify any two-force members that
may be part of the frame.
Identifying two-force members (while not
critical)
Introduction to Statics
Frye, Rattanawangcharoen & Shah
APPENDIX A
Mathematical Preliminaries
297
APPENDIX - A
MATHEMATICAL PRELIMINARIES
A.1 Introduction
Very few simple mathematical tools are required to study the first course in
Engineering Mechanics (
Introduction to Statics
Frye, Rattanawangcharoen & Shah
APPENDIX C
Answers to Problem Sets (Revised May, 2011)
345
APPENDIX C
ANSWERS TO PROBLEM SETS
CHAPTER 2
2.1
R = 895.85 N, = 9.67o with respect to negative x axis
2.2
R = 1431.78 N
91.79o
2.3
Ft = 2.5
Example 2.4
J. Frye
Example 2.4:
The force F of magnitude 2000 N in the Figure
below is to be resolved into two components along
line a-a and b-b. Knowing that the component of F
along line b-b is to be 3407N determine the angle
and the magnitude of the
Example
Determine the reactions at A and B for the
frame shown and the forces exerted by the
Pin at D on members AD, BD and on the
Pulley for the frame shown.
C
9m
Radius = 6 m
o
30
30
o
D
B
100 kN.m
16 m
A
39 m
50 kN
FBD for the entire frame.
Note: We ha
Example 2.7
J. Frye
Example 2.7:
Determine the resultant of the forces shown.
R x = Fx
y
x
120 N
35
50
o
120 cos 35o + 80 cos 500 100sin 40o
= +85.44N
R x = 85.44N
o
R y = Fy
40o
80 N
100 N
120sin 35o 80sin 50o 100 cos 400
= 69.05N
R y = 69.05N
R =
Example 2.10
J. Frye
Example 2.10:
Two links are connected by a pin at B as shown in Figures (a) and (b).
In each case, a 100 kN concentrated load is applied to the pin at B.
Draw a free-body diagram of point B for both examples, determine the
force in li
Example 2.9
J. Frye
Example 2.9:
A welded connection is in equilibrium under the action of the
four forces. Knowing that P = 30 kN and FBA = 25 kN and given
the FBD shown, determine the magnitude of the other two
forces. Redraw the FBD indicating the magn
Introduction to Statics
Appendix E
Frye, Rattanawangcharoen & ShahCentroidal Coordinates for a few Common Areas
371
APPENDIX E
CENTROIDAL COORDINATES FOR A FEW COMMON AREAS
Right triangle
y
h
C
b
3
y
h
3
Area = bh
2
x0
y
4r
3
Area =
r 2
2
xy
4r
3
Area =
r
Example 2.1
J. Frye
Example 2.1:
Two structural members B and C forming part of a bridge
structure over the Red River in Winnipeg are connected to
bracket A. Knowing that member B is in tension and member
C is in compression, and that P = 45 kN and Q = 90
Example 2.8
Page 41 Text/Notes
Two forces P and Q of magnitude 10 kN and 12 kN
respectively are applied to the truss connection as
shown. Knowing that the connection is in
equilibrium and given the Free Body Diagram (FBD)
as shown, determine the forces T1
Example 2.6
Resultant Force by Summing
Rectangular Components
(Tabular Form)
Example 2.6:
Four forces act on a bracket as shown in the figure.
Resolve the four forces into their rectangular components
and determine the magnitude of the resultant of the fo
Frames Load Applied at a
Joint
J. Frye
What to Do With the Load applied
at a Joint when Sub-structuring?
If a load is applied at a joint where TWO members are
pinned together, assign it to either one of the
members attached at the joint but NOT BOTH. This
Introduction to Statics
Frye, Rattanawangcharoen & Shah
Chapter 5
Statics of Particles
207
CHAPTER 5
STATICS OF PARTICLES
5.1
Introduction
In Chapter 2 we studied the effect of forces acting on particles in a plane (twodimensions). In this Chapter we stud
Introduction to Statics
APPENDIX B
Frye, Rattanawangcharoen & Shah Centroids, Center of Gravity & Distributed Forces
307
APPENDIX - B
CENTROIDS, CENTERS OF GRAVITY, AND DISTRIBUTED
FORCES
B.1 Introduction
So far, we have dealt only with concentrated force
STUDY SUGGESTIONS and THINGS TO REMEMBER
TRUSSES and FRAMES
Trusses
1. Do Problem 4.14 from start to finish then review on D2L. If you have difficulty do it several times
this is a case where as you progress through the truss using the placeholders for
Tutorial No. 5
1/5
Date: 2011 02 11
Tutorial No. 5
ENG 1440 Introduction to
Name:
Engineering Statics (A01)
Student ID: .
1. Draw FBDs of the systems shown.
This is an example.
C
4
m
C
B
20o
20
2
m
B
A
40
A
y
10 kN/m
x
3m
10 kN/m
B
A
A
B
C
1.5 m
2.5 m
D
Tutorial No. 7
Frames 1/5
Date: 2011 03 04
Tutorial No. 7
ENG 1440 Introduction to
Name:
Engineering Statics (A01)
Student ID: .
1. Determine the internal forces that CD and BD exerting on members ABC and DF.
4m
5 kN/m
C
D
2m
9 kN
B
12 kN
40 kN.m
4m
8m
A
Tutorial No. 9
1
Date: 2011 03 18
Tutorial No. 9
ENG 1440 Introduction to
Name:
Statics (A01)
Student ID: .
1. Rod AEB carries a vertical load of 200 N and is supported by a ball-socket support at
A (three reactions Ax, Ay, and Az) and cables BC and BD a
Tutorial No. 6
1/6
Date: 2011 02 18
Tutorial No. 6
ENG 1440 Introduction to
Name:
Engineering Statics (A01)
Student ID: .
1. Determine the force in each member of the loaded truss shown in Figure (a) and state
whether it is in tension or compression. Sho
Tutorial No. 4
1/3
Date: 2011 02 04
Tutorial No. 4
ENG 1440 Introduction to
Name:
Engineering Statics (A01)
Student ID: .
1. A system of couples and forces are applied to the plate shown in the Figure. Determine:
a. The resultant moment, MR, and
b. The d
Tutorial No. 2
Statics of Particles 1/2
Date: 2011 01 21
Tutorial No. 2
ENG 1440 Introduction to
Name:
Engineering Statics (A01)
Student ID: .
1. Determine the angle ( 0 < < 90o ) between the two truss-members so that the 5000 N
horizontal force shown ha
ENG 1440 INTRODUCTION TO STATICS (A01)
MIDTERM TEST 1
DATE: FRI 15 FEBRUARY 2008
TIME: 1530-1730 HR
ROOM: E3-270
EXAMINER: N. RATTANAWANGCHAROEN
PROBLEM
PRINT STUDENT NAME IN FULL
MARKS
1
2
STUDENT SIGNATURE
3
STUDENT NUMBER
Total
SEAT NUMBER
NOTES:
1.
2.