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Activity 2.3.1a Stress/Strain Calculations Worksheet - POE Portfolio

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Laura Buckles
Activity 2.3.1a Stress/Strain
Calculations Worksheet
Practice Calculations
Note: Use this sheet to document all steps for Activity 2.3.1 Stress/Strain
Calculations.
Weight=W=18000lbs
Area=A=216in^2
пЃі=18000lbs/216in^2
пЃі=???
пЃі=W/A
пЃі=83.33 lbs/in^2
пЃі=6.944 lbs/ft^2
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 1
925=63750xA
0.0145098= A
A=pir^2
.0
Diameter=D1=.25in
пЃі=63,750 psi
Force2=F2=925lbs
Force1=F1=???
Diameter2=D2=???
D=.1359
D=.25
F1=пЃіпЂЇ D1
F1/D1=F2/D2
D2=.135955238
Max Stress>=F/.19625
24000>=F/.19625
.19625*24000>=F
4710>=F
F<=4710
D= .50
Max
Stress=24000
Force=???
D=.50i
n
Max Stress>/= F/A
F<=4700 lbs.
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 2
Thickness=1.125
Width=4
P=32000
Stress2=25000
Stress=3200/(1.125*4)
Stress=3200/4.5
Stress=7100
25000=F/4.5
4.5*25000=F
F=110,000
Stress1=???
P2=???
Stress=F/A
4 in
1.12
5in
Stress=7100
Force= 110000
пЃ¤ = О”L
Length=35ft.
Load=8,000lb
Stretch=.266in
M.o.E=30,000,000
.266=(8000*420)/(30000000A)
7980000A=3360000
A=.421
ПЂr2=A
3.14r2=.421
r2=.13
D=.73
8,000lbs
Diameter=???
.73
пЃ¤ = FL / AE
D=.73in
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 3
пЃі = 270/.0144
пЃіпЂЅпЂ±пЂ№пЂ°пЂ°пЂ°пЂ пЃҐ= пЂ®пЂ·пЂµ /100
пЃҐпЂЅпЂ®пЂ°пЂ°пЂ°пЂ¶пЂіпЂ E=пЂ±пЂ№пЂ°пЂ°пЂ°пЂЇпЂ®пЂ°пЂ°пЂ°пЂ¶пЂіпЂ пЃ…пЂЅпЂіпЂ°пЂ¬пЂ°пЂ°пЂ°пЂ¬пЂ°пЂ°пЂ°
A=.0144 in2
F=270lbs
L0=12000in
L1=12000.75in
270lbs
Stress=???
Strain=???
E=???
A=.0144
пЃі = F/A
пЂ пЃҐ = пЃ¤ /L
E=пЃіпЂЇпЃҐпЂ a.
b.
c.
E= Пѓ/ Оµ
30million= Пѓ/.0012
Пѓ=36000
WB0=1.25in
WA0=3in
L0=240in
E=30000000psi
пЂ пЃҐпЂЅпЂ®пЂ°пЂ°пЂ±пЂІпЂ°пЂ°пЂ 36000=F/A
36000=F/3.75
F=135000
20 ft
пЃіпЂЅпЂїпЂїпЂїпЂ F=???
пЃ¤пЂЅпЂїпЂїпЂї
19,000lbs/in2
.00063
30,000,000 psi
3.75in2
Оµ= Оґ/240
.0012= Оґ/240
Оґ=.288
E= Пѓ/ Оµ
Оµ= Оґ/L0
Пѓ=F/A
a.
b.
c.
36000lb/in2
135000
.288in
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 4
LH0=480in F0=225lbs
LK0=480in
DH0=3/8in
DK0=3/16in
LH1=480.10in
LK1=480.25in
E0=???
E1=???
E=(255*480)/(.11045*.1)
E=122400/.011045
E=11081937.53 psi
3/16 in
3/8 in
E=(255*480)/(.1875*.25)
E=122400/.0276
E=4434782.61 psi
480 in
E=PL0/AпЃ¤
Material H has a higher ME.
And material K is stiffer.
E=PL0/AпЃ¤
10000000=
(90008192)/(A*.50)
10000000=1728000/.5A
5000000A=1728000
A=.34
piR2=.3456
r2=.11 r=.33
D=.66
F=9000lbs
E= 10000000psi
Stress= 30000
Elongation= .5in
L= 16ft
Diameter
9000
E=PL0/AпЃ¤
.66 in
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 5
A=7000/42000
A=.166
3.14D2=.166
D=.46
F0=9000
stress= 42000
E=16500000enl
ongation= .2
D=.46
A
D
L
16500000=7000L/.0332
547800=7000L
L=78
пЃі = F/A
пЃ¤ = FL / AE
пЃ¤ = F / AE
D= .46in
L=78in
В© 2012 Project Lead The Way, Inc.
POE Activity 2.3.1a Stress/Strain Calculations Worksheet – Page 6
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