M53670 Quiz \ Name
You would like to design a cheap cantiievered 'beam having a cirwiar
cross-section that will not fail under some load F. Derive the
appropriate material index M for this case. Let Cm be the cost per
unit mass, Sf is the failure strength

1. A vertical load P = 100 lb is applied as shown to the pipe 075i-
wrench. (3) Determine the normal stress acting at A and B on the
a-a cross-section shown and then show these stresses as they act
on the volume elements provided below. (b) Show all other

1) Construct Shear force diagram and bending moment diagram for the below loading condition.
2) A 1.5 inch diameter steel shaft is supported by bearings at A and at B and has three attachments
with weights and locations as shown. Find the deflection at ea

StrengthOfMaterialsReview
Galileos Drawing!
Summary of Equations
Department of Mechanical and Aerospace Engineering, The Ohio State University
AxialLoad
Stress:
P
A
Elongation:
Department of Mechanical and Aerospace Engineering, The Ohio State University

Review of Strength of Materials
Shear, and Bending Moment Diagrams
Relations between load and shear:
dV
= w
dx
xD
VD VC = w dx = (area under load curve)
xC
Relations between shear and bending moment:
dM
=V
dx
xD
M D M C = V dx = (area under shear curve)

ME 3670K Homework Set 01
Due 02/01
Spring 2017
1. Determine the number of members, number of joints, mobility, and idle degrees of freedom for each of
the planar linkages shown below. Please clearly mark the link(s) with an idle DOF in the figure.
ME 3670

fl
FBDBeam:
(EMA = O:(8 m)F.+ (11:5)(2 kN) +10 kN-m(6 m)(8 kN)
12kN-m(2m)(6kN)=o F=5kNI
1sz =0:Ay6kN8kN+5kN+2kN='0
Ay=7ka
Shear Dina: i 3. A 1.5 inch diameter steel shaft ls supported by
bearings at A and at B and has three attachments with
weights an

Department of Mechanical and Aerospace Engineering, The Ohio State University
Multiple Constraints:
M1 =
The Case study involving table
legs had two constraints (M1 and
M2).
M2 = E
This was relatively simple case
since you can plot both
constraints on the

Principal Stresses
Department of Mechanical and Aerospace Engineering, The Ohio State University
Stress Cubic
The diagram represents a general 3D state of
stress at a point in a structure (or component).
There are six components of stress.
x , y , z , xy

ME 3670M - Design and Analysis of Machine Elements I
Course Format, Structure, and Objectives
Course time: TR 8-8:55AM
Classroom: Scott Lab E040
Instructor
Brian Harper
Sujasha Gupta
Office
E 341
e-mail
harper.10
Gupta.761
Phone
292-3531
Office Hrs
TR 9-1

SAFETY FACTORS
Department of Mechanical and Aerospace Engineering, The Ohio State University
Factors of Safety are needed because:
Uncertainty of loads
Uncertainty in analysis
Uncertainty of material properties
Need to conserve materials
Serious consequen

Review of Strength of Materials
Shear, and Bending Moment Diagrams
Relations between load and shear:
dV
w
dx
VD VC
xD
w dx area under load curve
xC
Relations between shear and bending moment:
dM
V
dx
xD
M D M C V dx area under shear curve
xC
Sample P

ME 3670M
Design and Analysis of
Machine Elements I
Mechanics
Department of Mechanical and Aerospace Engineering, The Ohio State University
ME 3670
Introduction to Mechanical Design
Department of Mechanical and Aerospace Engineering, The Ohio State Univers

1. A vertical load P = 100 lb is applied as shown to the pipe
wrench. (a) Determine the normal stress acting at A and B on the
a-a cross-section shown and then show these stresses as they act
on the volume elements provided below. (b) Show all other
stres

4. A 2-in. diameter shaft is keyed to the hub or a gear by a
2 in. long square key. The allowable stress in the shaft and
key material are 1a, = 20 ksi , and SJ, = 50 ksi (tension and
compression). Assume K" = i and determine i
7
\l
(A) The horsepower tha

ME 3670 M
Homework 2
Due: September 22
1. A 2-in. diameter shaft is to be keyed to the hub of a flange as shown. You are required to
design a flat key for this application (i.e. determine the
appropriate dimensions of the key and which material to use).
Y

Review for Exam I
Open book, closed notes, closed neighbors
One 8 by 11 formula sheet, both sides.
Formulas only, no worked example problems
Covers through Principal Stresses.
Does not cover failure Theories
Factors of Safety (only the books approach is c

Example 2
Determine the allowable tensile force
that the multi-riveted joint shown can
transmit. All rivets are nominally 24
mm in a 26 mm diameter hole. The
design stresses are
all tension 160 MPa
all shear 110 MPa
all bearing 350 MPa
Example 2
Determ

fl
FBDBeam:
(EMA = O:(8 m)F.+ (11:5)(2 kN) +10 kN-m(6 m)(8 kN)
12kN-m(2m)(6kN)=o F=5kNI
1sz =0:Ay6kN8kN+5kN+2kN='0
Ay=7ka
Shear Dina: i 3. A 1.5 inch diameter steel shaft ls supported by
bearings at A and at B and has three attachments with
weights an

1. A vertical load P = 100 lb is applied as shown to the pipe 075i-
wrench. (3) Determine the normal stress acting at A and B on the
a-a cross-section shown and then show these stresses as they act
on the volume elements provided below. (b) Show all other

FATIGUE FLUCTUATING LOADS
AND
S N CURVES
Department of Mechanical and Aerospace Engineering, The Ohio State University
Fatigue Fluctuating Loads
A machine and its associated components are rarely static. The loads applied to them
vary with time. This vari

ME 3670 M
Homework 1
Due: September 8
1. A novel design is being proposed for a new attachment link for a chair lift in a ski resort. You
are an engineer in one of the most prestigious consulting firms in the US. Your role will be to
design the link. Usin

Recitation Group Quiz
A recent capstone team at Ohio State elected to design and build a magnesium alloy golf shaft. One reason
for the inspiration was the use of magnesium alloys in other sports equipment. Use what you know about
material selection to ev

The following slides contain some useful material property
information comparing broad classes of materials. The tables are
taken from:
Materials Selection in Mechanical Design by MF Ashby
The same information could be deduced from the Ashby diagrams
but

ME 3670 M
Homework 1
Due: January 26
1. A novel design is being proposed for a new attachment link for a chair lift in a ski resort. You
are an engineer in one of the most prestigious consulting firms in the US. Your role will be to
design the link. Using

ME 3670 M
Homework 2
Due: February 7
1. You are asked to make a final selection from several
candidate materials for a light strong fracture resistant
beam. For simplicity assume a cantilevered beam with a
square cross-section. You have one objective (lig

Department of Mechanical and Aerospace Engineering, The Ohio State University
Department of Mechanical and Aerospace Engineering, The Ohio State University
What is the best way to
select candidate
materials?
Department of Mechanical and Aerospace Engineer