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 вЂ“ 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 вЂ“ 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 вЂ“ 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 вЂ“ 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 вЂ“ 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 вЂ“ Page 6