Subject : Explosion Of Pressure Vessel Design Based On The Internal Pressure Secondary Strain Expanding Works And External Environment Effect By The External Forces And Pressure Exploding Causes By Outer Forces Or Pressure Outer Force = Compressor Force Causes Primary Shear Stress + Primary Shear Strain = Primary Yield Shear Internal Force = Rejection Force Causes Secondary Strain + Secondary Stress = Yield Secondary Shear = -1 / 2 The Above Value Is What I Know Presently Actual Value And Figure Are Depend On Your Research Based On The Early Submitted Pressure Vessel Design The Exploding Value Is Confirmed Is Secondary Shear Strain = -1 / 2 But The Outer Forces And Pressure Causes The Exploding Of The Pressure Vessel Or Big Bang Should Be Calculate Too The Primary Shear Stress And Strain Is Calculated As Follow : Young Modulus E = Stress / Strain G = Shear Stress / Shear Strain Shear Stress = Young Modulus / 2 ( 1 + v ) x Shear Strain Young Modulus E = Shear Stress x 2 ( 1 + v ) / Shear Strain = G x 2 ( 1 + v ) Hence, E = G x 2 ( 1 + v ） G = E / 2 （ 1 + v ) Yield Shear = Shear Stress + Shear Strain = G x Shear Strain + Shear Strain = Shear Strain ( E / 2 （ 1 + v ） + 1 ） = - 1 / 2 ( G ) + ( -1 / 2 ) = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ） E = Young Modulus E = 210 x 10 *9 N / m*2 ( For Steel Material ) E = 70 x 10 *9 N / m*2 ( For Aluminium Alloy Material ) E = 105 x 10 *9 N / m*2 ( For Brass Material ) v = Poisson Ratio Of Material v = 0.3 ( Normally For Steel Material ) v = 0.33 ( For Aluminium Alloy Material ) v = 0.35 ( For Brass Material ) Hence The Yield Shear Is = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ) a) E = 210 x 10 *9 N / m*2 ( For Steel Material ) v = 0.3 ( For Steel Material ) Yield Shear = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ) = - 1 / 2 ( E / 2 ( 1 + 0.3 ) + 1 ) = - 1 / 2 ( E / 2.6 + 1 ） = - ( E / 5.2 ) - 1 / 2 E = 210 x 10 *9 N / m*2 ( For Steel Material ) Hence , Yield Shear = - ( ( 210 x 10 * 9 N /m *2 ) / 5.2 ) - 1 / 2 = - 40384615385.1153846153846154 = - 40 x 10 * 9 N / m * 2 b) E = 70 x 10 *9 N / m*2 ( For Aluminium Alloy Material ) v = 0.33 ( For Aluminium Alloy Material ) Yield Shear = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ) = - 1 / 2 ( E / 2 ( 1 + 0.33 ) + 1 ) = - 1 / 2 ( E / 2.66 + 1 ） = - ( E / 5.32 ) - 1 / 2 E = 70 x 10 *9 N / m*2 ( For Aluminium Alloy Material ) Hence , Yield Shear = - ( ( 70 x 10 * 9 N /m *2 ) / 5.32 ) - 1 / 2 = - 13157894736.3421052631578947 = - 13 x 10 * 9 N / m * 2 c ) E = 105 x 10 *9 N / m*2 ( For Brass Material ) v = 0.35 ( For Brass Material ) Yield Shear = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ) = - 1 / 2 ( E / 2 ( 1 + 0.35 ) + 1 ) = - 1 / 2 ( E / 2.7 + 1 ） = - ( E / 5.4 ) - 1 / 2 E = 105 x 10 *9 N / m*2 ( For Brass Material ) Yield Shear = - ( ( 105 x 10 * 9 N /m *2 ) / 5.4 ) - 1 / 2 = - 19444444443.9444444444444444 = - 19 x 10 * 9 N / m * 2 Conclusion : Yield Shear = Negative Value Because Under Compression = Big Bang Value Which Causes By Outer Forces Or Pressure Its Will Exploding In By On Yield Shear In Outer Pressure For The Pressure Vessel Or Big Bang Experiment Environment Yield Shear = Shear Stress + Shear Strain = - 40 x 10 * 9 N / m * 2 ( For Steel Material ) Yield Shear = Shear Stress + Shear Strain = - 13 x 10 * 9 N / m *2 ( For Aluminium Alloy Material ) Yield Shear = Shear Stress + Shear Strain = - 19 x 10 * 9 N / m * 2 ( For Brass Material ) Thank you Best Regards All Of You, By, Ooi Kean Teik Date : 28 - 6 - 2013 Time : 10 : 08 Extra Bonus And Credit Of My Big Bang Theory Scientific Practice = Pressure Vessel Design Study = A Life Exploding And Damages Moment A ) The Outer Forces And Pressure Causes Exploding Of An Egg I ) The Primary Shear Stress And Strain Is Calculated As Follows : Young Modulus E = Stress / Strain G = Shear Stress / Shear Strain Shear Stress = Young Modulus / 2 ( 1 + v ) x Shear Strain Young Modulus E = Shear Stress x 2 ( 1 + v ) / Shear Strain = G x 2 ( 1 + v ) Hence, E = G x 2 ( 1 + v ） G = E / 2 （ 1 + v ) Yield Shear = Shear Stress + Shear Strain = G x Shear Strain + Shear Strain = Shear Strain ( E / 2 （ 1 + v ） + 1 ） = - 1 / 2 ( G ) + ( -1 / 2 ) = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ） E = Young Modulus v = Poisson Ratio Of Material E, Young Modulus Of An Egg Assume = 1 N / m * 2 v = Poisson Ratio Of Material Of An Egg Assume = 0.1 Hence, Yield Shear = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ） = - 1 / 2 ( 1 / 2 ( 1 + 0.1 ） + 1 ） = - 0.775 N / m *2 Mean 3 / 4 Of The External Energy Of Forces Or Pressure Will Causes An Egg Exploded Mean A Life Causes On By In An Outer Forces And External Pressure 0.775 N / m *2 Will Causes He Or She Die Immediately II ) The Internal Forces And Pressure Causes Exploding Of An Egg An Egg Exploding From Internal，Needed Secondary Strain Expanding Works Yield Secondary Strain = Secondary Shear Strain = - 1 / 2 ( From Pressure Vessel Design Estimation ) Negative Mean Causes By Internal Pressure - 1 / 2 Mean A Life Is Created From Internal , Only Need Half Of The Afford Energy III ）Outer Forces Or Pressure Ease To Damage Causes A Life Damage And Destroy How Big The Outer Value Causes A Life Damages E, Young Modulus Of An Egg Assume = 1 N / m * 2 v = Poisson Ratio Of Material Of An Egg Assume = 0.1 Hence, Yield Shear = - 1 / 2 ( E / 2 （ 1 + v ） + 1 ） = - 1 / 2 ( 1 / 2 ( 1 + 0.1 ） + 1 ） = - 0.775 N / m *2 Mean Only 3 / 4 N / m *2 Of Outer Forces Or Pressure Will Damages A Life IV ) Its Can Be Concluded That A Life Can Not Depend On Outer Pressure To Fight For His Or Her Aims If The Outer Pressure Increase To 3 / 4 Of Our Supportive Abilities Then We Will Damages By Dead But By The Internal Pressure, Life Is Created Only Half Of The Afford Pressure B ) Dead Moment Of A Life I）Dead Moment Of A Life Of Internal Harm ( Internal Shear Cause By Internal Pressure ) = 1 / 3 Internal Harm Causing A Dead Moment 1 / 3 Internal Harm = 1 / 3 x - 1 / 2 = - 1 / 6 = - 0.1666666666666667 = - 0.17 0.17 In Linear Equivalent Actually Human Dead In 0.75 Of The Linear Equivalent Value Hence, 0.75 x 0.17 = 0.1275 Mean Only 12.75 % Of Internal Harm Will Causes A Human Or A Life Dead Immediately II）Dead Moment Of A Life Of Outer Harm ( Outer Shear Cause By Outer Pressure ) = 2 / 3 Outer Harm Causing A Dead Moment 2 / 3 Outer Harm = 2 / 3 x - 0.775 N / m * 2 = - 0.5166666666666667 = -0.5167 N / m * 2 In Linear Equivalent Actually Human Dead In 0.75 Of The Linear Equivalent Value Hence, 0.75 x 0.5167 N / m * 2 = 0.387525 N / m * 2 Mean 38.75 % Of Outer Shear And Pressure Will Causes A Dead III ) Conclusion Only 12.75 % Of Internal Harm Will Causes A Human Or A Life Dead Immediately 38.75 % Of Outer Shear And Pressure Will Causes A Dead Life Is Created Only Half Of The Afford Pressure Only 3 / 4 N / m *2 Of Outer Forces Or Pressure Will Damages A Life By， Ooi Kean Teik Bio - Mecha Research Date : 3 - 7 - 2013 Time : 8 : 45 Note : Sense Is Different Sense Is Zero Effect Any Outer Disturburn Of Any Sense The Painfulness Is Up To 1000 Degree To 1000000 Degree
Posted on: Wed, 24 Jul 2013 23:46:17 +0000
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