Engineering Science (ES) 13:
Mechanics of Deformable Bodies I
Lecture 1:
Introduction to the Concept of Stress
Normal/Axial Stress
Shear Stress
Bearing Stress
Punching Stress
1st Sem AY 2015-2016
August 11, 2015
Introduction
Mechanics
involves the analysi
Engineering Science (ES) 13:
Mechanics of Deformable Bodies
Lecture 10:
Analysis of Thin-walled Pressure Vessels
Pressure Vessels
Tanks that are used as
container or boiler of
fluids/gases
Most common types:
a. Spherical
b. Cylindrical
Thin-walled Pressur
Engineering Science (ES) 13:
Mechanics of Deformable Bodies
Lecture 3:
Material Testing
Stress-strain Diagram
Hookes Law
Strain Energy
1st Sem AY 2014-2015
August 20, 2014
Material Testing
Material strength
based on its ability to sustain loads
inherent
Engineering Science (ES) 13:
Mechanics of Deformable Bodies
Lecture 2:
Normal Strain
Shear Strain
1st Sem AY 2015-2016
August 15, 2014
STRAIN
describes the deformation of a body
change in length or angles
Normal Strain under Axial Loading
Deformation of a
Engineering Science (ES) 13:
Mechanics of Deformable Bodies
Lecture 6:
Torsional Loading
Stress due to Torsion
Deformation due to Torsion
Torsional Loading
Torque: a moment that acts along the
longitudinal axis of the member
* induces TWISTING of the memb
Engineering Science (ES) 13:
Mechanics of Deformable Bodies
Lecture 7:
Statically Indeterminate Torque Loaded
Members
Power Transmission
Quiz 9: FEEDBACK (BONUS QUIZ)
Answer the following questions INDIVIDUALLY:
1. Are you ready for the first long exam? W
MULTIPLE CHOICE
1.
What kind of vectors represent forces acting on a rigid body that can be moved
along their lines of action?
a. bound vectors
b. free vectors
c. sliding vectors
d. fixed vectors
2.
Given F = <56, 12, -38> Newtons applied at point X, x-ax
1/8/14
CHAPTER 4:
Equilibrium of
Rigid Bodies
Equilibrium of Rigid Bodies 2-D
Problem Exercise
Force-couple system A, B, C, D, E,
and X can be replaced by
force-couple R and Y. If forces
B, C, and D have the same
magnitude and the magnitude
of A, X, and
EQUILIBRIUM OF PARTICLES, FREE
BODY DIAGRAMS
ES 11 Statics of Rigid Bodies
Lecture 2
EQUILIBRIUM OF A PARTICLE
A particle is said to be in equilibrium when
the resultant of all the forces acting on
it is zero.
EQUILIBRIUM OF A PARTICLE
If two forces are
Statics of Rigid Bodies
STATICS OF RIGID
BODIES
Chapter 1: Introduction
Department of Engineering Sciences
enter
Statics of Rigid Bodies
DEFINITION
Mechanics
the study of the relationship among forces and
their effects on bodies.
the science which desc
RIGID BODIES: MOMENTS OF
FORCES
ES 11 Statics of Rigid Bodies
Lecture 4
RIGID BODY
Treatment of a body as a single particle is not always possible.
In general, the size of the body and the specific points of
application of the forces must be considered.
VECTOR OPERATIONS
ES 11 Statics of Rigid Bodies
Lecture 3
SCALAR PRODUCT OF TWO VECTORS
(DOT PRODUCT)
The scalar product of two vectors P and Q is defined as the
product of the magnitudes of P and Q and of the cosine of
the angle formed by P and Q.
The re
Lecture 6
When can you say that a rigid body is in
equilibrium?
!
F = 0
!
! !
M 0 = r F = 0
(
)
Fx = 0
Fy = 0
M x = 0
M y = 0 M z = 0
Fz = 0
1. Decide on which
body to use as free
body. Detach the
body from the
ground and all
other bodies.
COUPLES AND THEIR MOMENTS
EQUIVALENT FORCE COUPLE
SYSTEMS
ES 11 Statics of Rigid Bodies
Lecture 5
COUPLES
A pair of forces of:
Equal magnitudes
Opposite directions
Parallel LOAs
A couple tends to cause
rotation of an object even
though the vector sum o
1/5/12
Principle of Superposition
CHAPTER 3:
Reduction of
Force Systems
Forces can be added/subtracted to a given force system
without changing the external effect of the forces so long
as the resultant of the forces added/subtracted equals zero,
i.e. t
NAME:
SIGNATURE:
SECTION:
CQ 5
Deadline is on FRIDAY, FEB 26, 12 NOON. Submit at your respective lab instructors pigeonhole at MH
102
Write this statement on your answer sheets then affix your signature: UPON MY HONOR, I DID NOT
GIVE NOR RECEIVE INAPPROPR
ES 12 TBC2 and TFG3
2nd LE Problem Set
C
PROBLEM 1
A) What type of motion does the rod AB exhibit?
a. Translation b. Rotation about fixed axis
c. Rolling
d. General plane motion
B) What is the type of motion of crank BD?
a. Translation b. Rotation about f
3rd LE Problem Set
ES 12 Dynamics of Rigid Bodies
PROBLEM 1. Newtons 2nd Law
A 5kg block B was at rest on top of a 10 kg block A along a rough
inclined surface, as shown in the figure. The system was then released
from rest. It was observed that block A m
15.26 Ring C has an inside radius of 55 mm and an outside radius of 60 mm and is
positioned between two wheels A and B, each of 24-mm outside radius. Knowing that
wheel A rotates with a constant angular velocity of 300 rpm and that no slipping
occurs, de
ES 12: Dynamics of Rigid Bodies
TBC2 and TFG3
TBC 2 and TFG3
4th LE problem set
NEWTONS 2nd LAW OF MOTION
Instruction: Draw the FBD and EFD of the following problems. Answering other questions is not
required but you are encouraged to do it for practice (
12.21 A baggage conveyor is used to unload luggage from an
airplane. The 10-kg duffel bag is sitting on top of the 20-kg
suitcase B. the conveyor is moving the bags down at a constant
speed of 0.5 m/s when the belt suddenly stops. Knowing that the
coeffic
1st sem AY13-14
mddiola
ES 12 TBC2 and TFG3
2nd LE Problem Set
INSTRUCTIONS:
1. Answer the following problems on A4 sheet/s of paper.
2. Submit your answers on August 8, Thursday, class hours. I will upload the correct solution of this problem
set in uvle
ES 12: Dynamics of Rigid Bodies
Laboratory Exercise 5B (Due: July 12, 2013, Friday, 12 nn)
Practice Problem. Study Beer Problem 15.25
Problem 1.
20.3 cm
12.7 cm
The belt shown moves over two pulleys w
Engineering Science (ES)
13: Mechanics of
Deformable Bodies
Lecture 5:
Saint-Venants Principle
Deformations arising from Axial Loads
Analysis of Statically Determinate Axially
Loaded Members
1st Sem AY 20142015
August 29, 2014
Stress Distribution in Axial
Engineering Science (ES)
13: Mechanics of
Deformable Bodies
Lecture 19:
Beam Deflections
Moment Area Theorems
Moment Diagram By Parts
Area Moment Method (AMM)
1st Sem AY 20142015
November 12, 2014
Introduction to AMM
provides
a semi-graphical
technique fo
THEORIES OF
FAILURE
cfw_
ES 13: Concept of Stress
Analysis vs. Design Problem
ANALYSIS
all,BC 165 MPa
dBC = 20 mm
Can component BC safely support the
30-kN load?
DESIGN
For reasons based on cost, weight, and
availability - use aluminum
(all = 100 MPa)
30