Arizona Christian University Mechanical Engineering Data Beam Lab Report For YOUR Rosette (1, 2, 3, or 4), Complete the Cantilever Beam Data Sheet ACTIONS

Arizona Christian University Mechanical Engineering Data Beam Lab Report For YOUR Rosette (1, 2, 3, or 4), Complete the Cantilever Beam Data Sheet

ACTIONS

See Student Rosette Assignments document to see which Rosette you will be analyzing.

See Rosette Data File

ACTIONS

to see your Rosette and Beam’s data values, along with images of the rosette and beam themselves

Submit your Cantilever Beam Data Sheet WITH Calculations here
-Try to Submit as 1 file, but multiple okay
-PDF

-Matlab or Hand Calculations are okay (Scan in Hand Calculations with Scanner or Scanning App like CamScanner. Here’s a tutorial for CamScanner

ACTIONS

If you need anything else please let me know. There are 2 files and a video for resources that I did not upload.

Thank you (degrees)
Moment of
Inertia
(inches4)
II
Bending
Moment
(inch-lbs)
(psi)
VM
Load
(lbs)
Date ______________________________
Data Sheet for Flat Beam
Moment Arm
Length
(inches)
Rosette Number: __________
Beam
Thickness
(inches)
Beam Properties
Yield Strength Beam Width
(psi)*
(inches)
Maximum Load, XO=2:
II
(psi)
Name _______________________________________________
Poisson’s
Ratio*
I
Experimental & Theoretical Stresses & Strains
90
I
Lab Day/Time _______________________________
Elastic
Modulus
(psi)*
45
(psi)
Lab Insructor: _________________________________________
Material
6061-T4
Aluminum
0
*Source:
Total
Beam Length (inches):
Experimental
Theoretical
Instructions:
Make a detailed sketch of the beam showing all geometry, load point, and rosette orientation and location. (Use reverse side of this data sheet)
Before loading the beam, determine the maximum allowable load with a safety factor of 2 based on the yield strength of the material
After attaching the loading bucket and zeroing the gages, apply the load and read the strains from the 0°, 45°, and 90° gages. Construct a neat
Mohr’s strain circle (on an attached sheet), to approximate scale, and determine the in-plane principal strains and the orientation of the I-principal
axis. Calculate the principal stresses and the von Mises stress. From the principal stresses and location of the I-principal axis, construct a Mohr’s
stress circle, again to approximate scale. Show all calculations in detail on attached sheets. Locate the positions of the three strain gages on the strain
and stress circles. Also, calculate all quantities theoretically and fill in the second line of the table above. For theoretical values of strain on the 0°, 45°,
with the data analysis, see the 8-step recipe for reducing rosette data in the laboratory background unit.
Questions:
At what orientation is the strain gage rosette mounted on the beam? Your answer should state one of the gages in the rosette as a reference to your
chosen coordinate system: _________________________________________________________________________________________________________
From the strain circle, at what orientations relative to the L-axis would a strain gage give a zero output? __________________ degrees
Lab 2: Cantilever Beam Measurements & Strain Data
Instructor: Monfared, Hahn, Homen
Beam 1: Rosettes 1 and 2
Rosette 1:
Rosette 2:
Beam Material: 6061-T4 Aluminum
Beam Material: 6061-T4 Aluminum
Beam Width: 1.5in
Beam Width: 1.5in
Beam Thickness: 0.125in
Beam Thickness: 0.125in
Moment Arm Length (Length to Rosette): 6.5in
Moment Arm Length: 8.625in
Load: 2lbs
Load: 2lbs
Total Beam Length: 10.375in
Total Beam Length: 10.375in
ε0 (Experimental): 343
ε0 (Experimental): 144
ε45 (Experimental): 145
ε45 (Experimental): 463
ε90 (Experimental): -112
ε90 (Experimental): 163
Beam 2: Rosettes 3 and 4
Rosette 3:
Rosette 4:
Beam Material: 6061-T4 Aluminum
Beam Material: 6061-T4 Aluminum
Beam Width: 1.5in
Beam Width: 1.5in
Beam Thickness: 0.125in
Beam Thickness: 0.125in
Moment Arm Length (Length to Rosette): 6.75in
Moment Arm Length: 8.75in
Load: 2lbs
Load: 2lbs
Total Beam Length: 10.0625in
Total Beam Length: 10.0625in
ε0 (Experimental): 308
ε0 (Experimental): 107
ε45 (Experimental): 305
ε45 (Experimental): 480
ε90 (Experimental): -51
ε90 (Experimental): 228
Rosette 1
Students
Rosette 2
Students
Rosette 3
Students
Shuaib Ali
Raza Amir
Angel Correa
Mark Grigorets
Brian Kalayanamitr
Ben Nakaya
Aqeel Rehman
Harrishahmed Sheikh
Mohammad Alotaibi
Christopher Bob
Tobias Eagle
Tanish Gupta
Sean Keehan
Ann Nguyen
Joshua Richards
George Tatenko
Ibrahim Alshaya
Mandeep Brar
John Elias
Michael Huang
Aakil Khan
Cristian Padilla
Anthony Salisbury
Ituah Uwadiale
See other data file on Canvas for ALL Data (Strain Values, Beam Dimensions
Rosette 3
Students
Rosette 4
Students
Ibrahim Alshaya
Mandeep Brar
John Elias
Michael Huang
Aakil Khan
Cristian Padilla
Anthony Salisbury
Ituah Uwadiale
Raymundo Alvizo
Kaitlyn Castillo
Theodore Frye
Jocelyn Ibarra
Kevin Layte
Hao Pan
Ashley Sanchez
Hector Valdivia
s, Beam Dimensions, Rosette Images, etc)
STRAIN GAGE ROSETTES & PRINCIPAL STRESSES
I.
INTRODUCTION
II.
OBJECTIVES
.
III.
RECTANGULAR STRAIN GAGE ROSETTES
Figure 1.
Figure 2
Y
C
C
B
= 3309
B
= -1412
Figure
3
X
A
A = -1996
The negative sign indicates that the shear strain is directed away from the corner of
the strain element between the + X axis and the + Y axis If the directions of the
arrows are used to indicate the sense of the strains
Y
Y
= +3309
X
= -1996
X
XY
Figure 4
V
= – 4137
IV.
Why strain gage rosettes are needed for most experimental stress analysis
measurements.
Figure 3
C
B
B
Gage A is on PRA
(0o off)
C
PRA
A
o
47
A
Gage A is 47oCW
from PRA
PRA
31.5
B
56.5o
B
o
A
A
C
C
o
PRA
Gage A is 31.5
CCW from PRA
PRA
Gage A is 56.5o
CCW from PRA
V.
Recipe for Reducing Rectangular Strain Gage Rosette Data:
The rosette is oriented with
gage A 55o CW from the
PRA in this example.
A
= 790
AC
55o
B
A face: 790; 940 CW
C face: -510; 940 CCW
= -330
A
B
= -940
shear strain directed
opposite to arrows
since negative)
AC
C
= -510
= 2(-330) – (790 – 510) = -940
C
PRA
Plot:
A: 790; 940/2 CW
C: -510; 940/2 CCW
CW
2
A
Center = OC = ( A + C)/2
= (790 –510)/2
= 140
Radius = (4702 + 6502)1/2
R = 802
= -662
2
I=
OC + R
= 140 + 802
= 942
C
140
II =
OC – R
= 140 – 802
= – 662
C
CCW
OC
790
510
2
= 942
470
650
I principal axis
A axis
17.9o
II principal axis is 17.1o CCW
from the PRA
I principal axis is 72.9o CW from
the PRA
55o
II principal axis
17.1o
90 – (55 + 17.9) = 17.1o
90 – 17.1 = 72.9o
PRA
E
1
E
2
28.5 x 10 6
1 0.28 2
28.5 x 10 6
1 0.28 2
E
0.28
28.5 x10 6
1
2
= 23,400 psi
I = 942
I
II
= -12,315 psi
II = -662
17.1o
PRA
Z
= -109
Z
=0
Principal Element
VI.
72.9 o
I
Experimental
A. Experimental measurements on a flat beam instrumented with rosettes:
Experimental measurements on brass pressure vessel instrumented with
rosettes
VII.
Stresses in thin wall pressure vessels.
PD
2T
PD
4T

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