Faculty of Engineering
ENG 1440 Introduction to Statics - Truss Experiment
Due November 18, 2016
This experiment will be conducted in the Engineering Mechanics Laboratory E2-393.
The experiment will b
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. Gi
Example 3.2
J. Frye
Example 3.2:
A force P is applied at point B of the gear shift.
(a) Determine the moment of P about point A when P = 250 N and
= 30.
(b) Find the smallest value P and angle which
Example 3.10
J. Frye
For the beam shown, determine the reactions at B and C.
300 N
250 N
150 N
150 N
150 N
C
A
B
1.2 m
3.2 m
0.8 m
0.8 m
2.4 m
We Draw the FBD!
300 N
A
250 N
B
150 N
150 N
150 N
C
Bx
C
Example 3.7
J. Frye
Example 3.7:
Replace the force system shown by a single force and determine where the line of action
of this force intersects the x-axis and the y-axis.
y
75 kN
6m
120 kN
6m
o
30
C
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
Example 3.5
J. Frye
Example 3.5:
Find the equivalent force-couple system at point A.
200 N
2m
200 N
B
(a)
100 N
C
1m
A
400 N.m
D
100 N
10 m
200 N
2m
B
(b)
200 N
50 N
100 N E 400 N.m
C
1m
A
100 N
7m
3m
Example 3.1
J. Frye
Example 3.1:
Consider the 4 m6 m block with a 1000 N force applied at point B as
shown.
(a)Determine the moment of the 1000 N force applied at B about the point
A by resolving the
Example 3.8
J. Frye
Example 3.8:
For the truss shown, determine the reactions at supports A and B.
2000 N
3000 N
500 N
4000 N
1000 N
1500 N
3m
B
A
5m
2000 N
5m
3000 N
500 N
4000 N
1000 N
1500 N
FBD:
P
Example 3.9
J. Frye
Example 3.9:
For the truss shown, determine the reactions at A and B.
2 kN
3 kN
3 kN
2 kN
4 kN
1m
B
A
1.6 m
1.6 m
1.6 m
1.6 m
o
30
2 kN
3 kN
3 kN
2 kN
4 kN
1m
Bx
By
FA
A
1.6 m
o
30
Example 3.12
Example 3.12:
Determine the reactions at A for the fixed column.
30 kN
DRAW THE FBD !
10 kN
C
B
6 kN
10 m
6m
A
The Fixed support at A resists both
translation and rotation.
We therefore s
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
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 equ
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 result
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 f
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 fr
Introduction to Statics
Frye, Rattanawangcharoen & Shah
APPENDIX A
Mathematical Preliminaries
297
APPENDIX - A
MATHEMATICAL PRELIMINARIES
A.1 Introduction
Very few simple mathematical tools are requir
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 t
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 partic
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 Introduc
Example 3.13
J. Frye
Example 3.13:
Determine the reactions at B and D considering CD as a two-force member.
80
60
40
D
60
B
A
C
40
E
Dimensions in mm
600 N
Member CD is a 2-Force member since it has a
Example 3.3
J. Frye
Example 3.3:
Determine the magnitude and the direction of the resultant
couple which acts on the system shown.
65 N
300 mm
65 N
150
mm
125 N
100 mm
45 N
400 mm
165 N
375 mm
40 N
45
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 t
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 Fr
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 SI
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 tru
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 Figur
Definition of the Derivative
Recall the formula for finding the slope of a line joining two points (x1 , y1 ) and (x2 , y2 ):
m=
y2 y1
.
x2 x1
Suppose these two points are points on a curve y = f (x):