ASSIGNMENT No. 2 MSE 221 — Statics and Strength of Materials
Due: Oct 14th Fall 2014
Q1) The lever BCD is hinged at C and attached to ‘21 control rod at B. If P = 100 lb, determine
the tension in rod AB and the reaction at C, using both the graphical meth
Chapter 1 Introduction
1. What is Mechanics?
2. Fundamental Concepts
3. Fundamental Principles
4. Systems of Units
5. Method of Problem Solution
6. Numerical Accuracy
Prof. Flavio Firmani
MSE 221 Statics & Strength Materials
What is Mechanics?
Mechanics
Chapter 4. - Pure Bending
Pure Bending:
Prismatic members
subjected to equal
and opposite couples
acting in the same
longitudinal plane
Prof. Flavio Firmani
MSE 221 Statics, Strength Materials
Symmetric Member in Pure Bending
Internal forces in any cross
A 400N force P is applied at Point A of the bell crank shown.
(a) Compute the moment of the force P about 0 by resolving it into components
along line 0A and in a direction perpendicular to that line.
(b) Determine the magnitude and direction of the small
Contents
Introduction
Definition of a Truss
Simple Trusses
Analysis of Trusses by the Method of Joints
Joints Under Special Loading Conditions
Space Trusses
Analysis of Trusses by the Method of Sections
Trusses Made of Several Simple Trusses
Analysis of
MSE 221 (Strength of Materials Review)
Chapter 1. Concept of Stress
Axial Stress
In statics we determined the internal forces of a member and identified whether the member was in
tension or compression. The average normal stress under axial loading is det
Chapter 9 Deflection of Beams
Beam Deformation
Elastic Curve
Statically Indeterminate Beams
Method of Superposition
Prof. Flavio Firmani
MSE 221 Statics, Strength Materials
Beam Deformation
The curvature of a beam under transverse loading vary from se
Particles and Rigid Bodies
Can we determine the tension of the cables of both of these problems?
Prof. Flavio Firmani
MSE221 Statics, Strength Materials
Rigid Bodies:
Equivalent Systems of Forces
Prof. Flavio Firmani
MSE221 Statics, Strength Materials
Ove
Contents
Learning Objectives:
Students will be able to:
a) Identify support reactions, and,
b) Draw a free-body diagram.
c) Apply equations of equilibrium to solve for unknowns, and,
d) Recognize two-force and three-force members.
Prof. Flavio Firmani
MSE
Contents
Introduction
Moments of Inertia of an Area
Polar Moment of Inertia
Radius of Gyration of an Area
Parallel Axis Theorem
Moment of Inertia of a Mass
Parallel Axis Theorem
Moment of Inertia of Thin Plates
Moment of Inertia of a 3D Body by I
Statics of Particles
Many engineering problems can be solved by considering the equilibrium of a
particle. In this chapter you will learn that by treating the hook as a particle, the
relation among the tensions in the chains can be obtained.
Prof. Flavio
Frames and Machines
Learning Objectives:
Students will be able to:
a) Draw the free body diagram of a
frame or machine and its members.
b) Determine the forces acting at the
joints and supports of a frame or
machine.
Prof. Flavio Firmani
Frames are common
Equilibrium of a Rigid Body in
Three Dimensions
The three-dimensional vector equations for static equilibrium are:
r
r
r r
F = 0 M O = (r F ) = 0
This yields six scalar equations
Fx = 0 Fy = 0 Fz = 0
Mx = 0 M y = 0 Mz = 0
These equations can be solve
A barge is pulled by two tugboats. If the resultant of the forces exerted
by the tugboats is 5000 lbf directed along the axis of the barge, determine
a) the tension in each of the ropes for on = 45, using a graphical and
trigonometric solution.
b) the val
The frame shown consists of four wooden members, ABC, DEF, BE, and
CF. Knowing that each member has a 2 x 4in rectangular cross section
and that each pin has a 1/2 in. diameter, determine the maximum value
of the average normal stress (a) in member BE, (b
Determine the internal forces in each of the members and indicate
whether the member is in tension or compression.
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Concepts of Stress
On June 17, 1958 two spans of the Second Narrows Bridge,
then under construction, collapsed into Burrard Inlet.
On one design sheet, the assistant engineer had used the wrong number for the "flange
thickness" of the beams. That error ha
Chapter 3. Torsion
max =
Tc
T
and =
J
J
min =
Prof. Flavio Firmani
c1
max
c2
MSE221 Statics, Strength Materials
Angle of Twist in Elastic Range
The angle of twist and maximum shearing strain are
related,
max =
c
L
In the elastic range, the shearing st
Distributed Forces:
Centroids and Centers of Gravity
What are distributed forces?
- Forces that act on a body per unit length, area or volume
- They are not discrete forces that act at specific points.
Rather they act over a continuous region.
Prof. Flavi
Moment of a Couple
Learning Objectives:
a) define a couple, and,
B
O
C
F .
A
-F
b) determine the moment of a couple.
r
r r
r
r
M C = rA / C F + rB / C F
r
r
r
Moment @C
= (rA / C rB / C ) F
r
r
= rA / B F
( )
( )
Moment @O
Prof. Flavio Firmani
r
r r
r
r
M
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Summary of Previous Lecture
Statics of Particles
Concurrent forces can be solved using:
Graphical solution
Parallelogram Law
Triangle Rule
Analytical Solution
Trigonometry
Rectangular Components (Fx and Fy)
Prof. Flavio Firmani
MSE 221 Statics & Str
All rights reserved G.U.N.T. Gertebau GmbH, Barsbuttel
FL 100 Strain Gauge Training System
Experiment Engimciians
Pubiication no.: 912000 008 100 12
06/95 All rights reserved G.U.N.T. Geraiebau GmbH, Barsbuttel
FL 100 3train Gauge Training System
T
9/13/2016
Plane in Engineering Bldg (UM)
Can we solve this problem?
1-1
1-2
Overview of Chapter 3
3
CHAPTER
MSE 221 STATICS AND STRENGTH OF MATERIALS
Rigid Bodies: Equivalent
Systems of Forces
G. Gary Wang, Ph.D., P. Eng., Professor
Mechatronics Systems E
Contents
4
CHAPTER
Introduction
MSE 221 STATICS AND STRENGTH OF
MATERIALS
Free-Body Diagram
Reactions at Supports and Connections for a Two-Dimensional Structure
Equilibrium of a Rigid Body in Two Dimensions
Equilibrium of Rigid Bodies
Statically Indeterm
MSE 221- Laboratory Manual
Guidelines for the laboratory report
Cover Page
This should include the course name, the students name and ID.
Introduction (< one page)
Provide an introduction to your report Including the objectives of the laboratory experimen
10/13/2016
Example Problems
5
CHAPTER
MSE 221 STATICS AND STRENGTH OF MATERIALS
Distributed Forces: Centroids
and Center of Gravity
G. Gary Wang, Ph.D., P. Eng., Professor
Mechatronics Systems Engineering
Simon Fraser University Surrey
M939/A1/A2 Series M