Matthew R. Stein
11/16/13
ENGR 300
M
ECHANICS OF
M
ATERIALS
E
NGINEERING
D
ESIGN
P
ROBLEM
“
C
OMPLETE
B
EAM
D
ESIGN
WITH
N
U
M
ERICAL
V
ERIFICATION
”
(Due 14 May @ 10 AM)
Value: 10
0 points
1. Problem
:
You have started your first job at the prestigious architecture and structural
engineering firm of
Emerson,
Lake &
Palmer
. Your superiors have given you your first
assignment which is expected to take you
only
a few days. However, they will be observing
the
quality of your work on this assignment in order to assess your value and determine your future
assignments. You ar
e to choose the appropriate
beam for
the following loading situation and
prove your choice is correct.
To impress your superiors, perform
a complete beam design by selecting the most efficient Wide
Flange (W) beam
and the most efficient Standard Flange (S) beam;
showing
the worst case
stresses in each
beam
. Write a brief report that thoroughly justifies your selection and
demonstrates your analysis techniques.
a. Structural
members will be selected from AISC standard shapes listed in
the text
and
available in SolidWorks Toolbox
. Material must be A36 Steel as listed in
the text
.
b. Factor of Safety for the structure must be 2.0 with respect to yielding in tension or
compression and 2.5 with respect to yielding in shear.
2. Objective:
Perform a complete prismatic beam design as described in the ENGR300 course by performing
the following steps.
1.
Draw clear and accurate shear and moment diagrams of the beam with maxi
mums
labeled and non

linear curves identified
2.
Tentatively select a W
and S
beam based on maximum normal stress.
3.
Check the tentatively selected beams for maximum shear
4.
Identify
the
locations on the beam where the shear and moment could possibly
combine to
exceed the allowable stresses.
5.
Find the principal stresses at
the
web/
flange
junction
using Mohr’s Circle
.
6.
Perform a structural analysis simulation using SolidWorks.
Probe
the stress at these
locations and verify your analytical solution is correct throug
h simulation.
ki灳pft
ki灳
6 ft
晴
18

晴
ft
4 ft
4 ft
ki灳pft
Matthew R. Stein
11/16/13
3. Assumptions:
a.
A
ssume the flange and web shapes with dimensions of t
f
,t
w
,b
f
, etc. as listed in
the
Beam Shape Table
.
b.
Assume th
e material strength in tension is equal to its
strength in compression
.
c.
Use the closest match to the beam table
found in the SolidWorks Toolbox
.
4. Approach:
Produce a report which makes a clear and concise case for the beam
s
you have
chosen and convinces the reader that you have performed the analysis correctly.
5. Design Report Requirements and Format:
Appr
oximately 20% of the grade will be on
the
professional look
, quality and persuasiveness of your report. Additional guidance on the
content of the report follows:
a.
Cover Page:
List title of project, your name, course, instructor. Graphics are a nice
touch.
b.
General Approach:
A numbered or bulleted list describing
the
steps
you employed to
reach a conclusion.
Items should include specifics from your search, For example “I
produced a shear

moment diagram and found the m
aximum moment to be 178 kip

ft”,
but sho
uld not include the equations or deriving formulas. The latter must be included in
the analysis section.
c.
Analysis:
Analysis must include shear and moment diagrams, combined loading and
Mohr's circle
to determine principal stresses
. Figures
may
be
genera
ted by hand on
engineering paper and scanned into your report MSWord document in a clear and
readable format. Scans of sloppy, illegible or incomplete work are unconvincing.
A
more professional effect can be achieved by producing the figures in Word Shap
es, or on
SolidWorks, and formatting equations using Equation Editor. In all cases the body of the
report must contain the appropriate figures. The reader must not be made to search
through appendices to discover the main findings of the analysis.
Add t
o this report the results of your numerical simulation in SolidWorks. Show
the
dimensioned
model
s
and the
probed
output of the stress
analysis. Showing the model
without showing the results of the simulation is unconvincing.
The simulation
results
must
agree with your hand

generated analysis.
Showing a theoretical re
sult and then a
simulation
tha
t does not agree with that result is un
convincing.
d.
Results and Discussion:
Describe how the beam you selected is
both
within
the factor of
safety and
also the
lightest available that is within that factor of safety
.
A convincing
way of demonstrating this is to show the next lightest beam would exceed the allowable
stress under the same loading.
Report the actual factor of safety as the yield stress
divided by
the actual maximum stress in both compression and shear.
Compare the S
beam to the “W” beam, which is more efficient?
e.
Appendix A:
Original s
hear and Moment Diagrams
full sheets
scanned
.
f.
Appendix B
: Complete Design Calculations and Mohr's Circle for
both
Beam
sheets
scanned
.
Matthew R. Stein
11/16/13
g.
Appendix C
:
SolidWorks file containing model
s
and simulation study
s
submitted via
Bridges.
h.
Include the Project Checklist sheet below as the last page of the report
, include name.
Matthew R. Stein
11/16/13
ENGR 300
–
Mechanics of Materials
Engineering D
esign Project
Project Checksheet
Name
(
s
)
:
_______________________
_______________________
Project Report Format:
Component
Requirements
Maximum
Points
Points
Awarded
1. Cover Sheet
Included and accurate
3
2.Table of Contents
Included and
accurate
1
3.Abstract
Not required
4.Problem Statement
Included, paraphrased
from
this
assignment sheet
3
5.
Approach
Describe how you approached
this problem
10
6. Analysis

I
Solution Methodology (Description of the method or Program)
Correct
shear/moment diagrams
10
6. Analysis

II
Tentative beam selection from
tables, check for shear
. List
other candidate beams and
explain selection.
5
6. Analysis

III
Selection of location of
combined loading
5
6. Analysis

IV
Calculated
and
at two
locations.
15
6. Analysis

V
Correct Mohr's circle
s
10
6. Analysis

VI
SolidWorks simulation
produces results
, results are
presented in the report
and the
results agree with theory
20
7.Results and discussion
Discuss selected beam
and lists
resulting factors of safety.
Demonstrate beam is most
efficient.
8
8. References
Not Required.
9.
Appendices
Included as required, hand
calculations are neat and
legible, SolidWorks file
submitted and
simulation runs.
5
10.
Submission
Submitted MSWord document
and SolidWorks Part file to
Bridges on time. This page is
included as the last page of the
report with student’s name
completed on top.
5
11. Bonuses
"Nice job", extra analysis, etc.
+10
Total
100
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