COUPLE
A couple is a pair of non-concurrent parallel forces in
opposite directions but equal in magnitude.
Let us take the sum of the moments of the two
forces about an arbitrary point .
Notice that t
Equilibrium Analysis
We have treated already the case of equilibrium of a point. Let us
make a summary first.
A. Point Equilibrium in the Plane
B. Point Equilibrium in Space
In A and B above, the forc
Moment of a force about an axis
L be a force and let be an axis. We shall define the
moment of about , denoted by .
Moment of a force about an axis
Take any point in the line and join it to any point
Dot or Scalar Product
and Vector Product
Applications
Scalar Product or Dot Product
Let and be vectors and let be the angle between them. We
define the scalar product or dot product of the two vectors
Moment of a force
The moment of a force about a point is a vector and
it is defined as follows:
where is a vector from
to any point on the line
of action of .
Example. Find the moment of the force act
FRICTION: Static and Kinetic
Consider a box resting on a horizontal
surface. Assume that the normal force
exerted by the surface on the box is . If the
minimum horizontal force that must be
applied to
FRAME ANALYSIS
A plane frame is a structure similar to a truss but the members are
rigid bodies of any shape. Unlike trusses, the weight of the members
of a frame are not negligible. In trusses, exter
MEC101 A16 Quiz 3
Set A
This is a 1 hr-examination. Write your SEAT NUMBER and SET LETTER on the upper right-hand
corner of your bluebook.
Figure 1
Figure 2
Figure 3
1. In Figure 2, find (5 points eac
CENTROID OF PLANE REGIONS
When a plane region has two or more lines of symmetry, then the
centroid is at the intersection of any two lines of symmetry. Note
that all the lines of symmetry intersect at
SEATWORK
JULY 28, 2017
1. Draw the shear and moment
diagrams of the beam shown.
2. Draw the load and moment diagrams that correspond
to the given shear force diagram. Assume no couples
are applied to
SEATWORK
JULY 28, 2017
1. Draw the shear and moment
diagrams of the beam shown.
2. Draw the load and moment diagrams that correspond
to the given shear force diagram. Assume no couples
are applied to
Newtons
Second Law
At the end of the lesson, you should be able
to:
solve rectilinear motion problems using
Newtons second law of motion.
NEWTONS LAW OF MOTION
1. A particle acted upon by a balance
Curvilinear Motion
At the end of the lesson, you should be able
to:
Derive the equations to be used in projectile
motion problems.
Apply these equations in projectile motion
problems.
Particle mov
At the end of the lesson, you should be able
to:
Solve with two types of units.
Derive the different equations used for
particles in rectilinear motion and apply
these derived equations in solving
Motion of Systems
of Particles
Relative Motion
At the end of the lesson, you should be able
to:
solve relative motion problems.
solve dependent motion problems.
Reference:
Reference:
Frame of Re
TORSION
Objectives:
You should be able to
Describe the effects of torsional
loads
Compute the deformation and
shear stress of a body subjected
to torque
Compute the power transmitted
by a torque
Th
SHEAR AND MOMENT
IN BEAMS
Objectives:
You should be able to
Illustrate the reactions of different
types of supports
Compute the equivalent
concentrated load of any type of
distributed load
Derive s
FLANGED-BOLT
COUPLINGS
Objectives:
You should be able to
Describe flanged bolt couplings
Compute torque capacity of a
coupling
FLANGED BOLT COUPLINGS
In shaft connection called flanged bolt coupling
SEATWORK
MEC103
JULY 26, 2017
Instructions:
Present a neat solution of the two problems in bond paper.
Suggestion: You use your MEC103 period to start solving the problem
and you may continue at home
SEATWORK
JULY 26, 2017
1. For the simply supported beam subjected to the loading shown,
(a) Derive equations for the shear force V and the bending moment M for any location
in the beam. (Place the ori
Quiz 4
MEC103
July 31, 2017
1. A plate is fastened to a fixed member by four 20-mmdiameter rivets arranged as shown. Compute the maximum and
minimum shearing stress developed in the rivets.
ANSWER:
2.
BEARING STRESS
Objectives:
You should be able to
identify the part of the structure
that undergoes bearing stress
define bearing stress and
determine its effect on the
material
solve problems invol
SIMPLE STRAIN
Objectives:
You should be able to
explain the concept of strain
compute deformation of a body
subjected to axial loading
analyze indeterminate structures
STRAIN
The
average unit defor
SIMPLE STRESS
Stress is known as the intensity of load
per unit area
Stress is also a measure of the unit
strength of the material
TYPES OF SIMPLE STRESS
1. Normal Stress
2. Shearing Stress
3. Bearing
THERMAL STRESS
Objectives:
You should be able to
compute deformation and stress
induced in a body due to change
in temperature
THERMAL STRESS
It is the stress resulting from thermal expansion (or
con
ME141L-A37
EXPERIMENT NO.
ABSTRACT
INTRODUCTION
OBJECTIVES
METHODOLOGY
MATERIALS AND EQUIPMENT
PROCEDURES
DATA AND RESULTS
DISCUSSION
CONCLUSION
SUPPLEMENTARY INFORMATION
REFERENCES
EXPERIMENT NO. 3
CALIBRATION OF MERCURY THERMOMETER AND BIMETALLIC EXPANSION THERMOMETER
ABSTRACT
Highly sensitive temperature devices, particularly those with analog display, give the illusion of
acc
ME141L-A37
EXPERIMENT NO. 6
AREA MEASUREMENT
ABSTRACT
This experiment focuses on the use of polar planimiter to measure area of different figures,
including regular shapes. The importance of this is t
ME141L-A37
EXPERIMENT NO. 8
SPEED MEASUREMENT
ABSTRACT
Speed measuring device such as tachometer wasnt that so sensitive that it gives accurate
measurement if reflectors are installed properly. Knowle
ME141L-A37
EXPERIMENT NO. 7
HUMIDITY MEASUREMENT
ABSTRACT
Highly sensitive humidity devices, particularly those with manual display, give the illusion of
accuracy. However, knowledge of true temperatu