# ENGR 300 MM E D P CBDNV

Urban and Civil

Nov 15, 2013 (4 years and 6 months ago)

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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
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

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

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



18
-



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
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:
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.

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
-
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

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

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

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
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