Formula Sheet - NAME SURNAME ID UPDATED ON ME 307 FORMULAS YOU ARE NOT ALLOWED TO WRITE ANYTHING ON THESE SHEETS E x(1 E y z x = 1 2 2 E y(1 E x z

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ME 307 FORMULAS YOU ARE NOT ALLOWED TO WRITE ANYTHING ON THESE SHEETS ( ) ( ) x yz x 2 E1 E 12  ⋅ε ⋅ −υ +υ⋅ ⋅ ε +ε  σ= −υ− υ VQ Ib τ= o c y Q ydA = ( ) ( ) y xz y 2 E 4 d I 64 π⋅ = 3 bh I 12 = 4 d J 32 = ( ) ( ) z xy z 2 E ( ) ( ) n My y Ae r y ⋅⋅ − n A r dA r = 1,2 max 2 σ +σ σ = ±τ 2 2 max xy 2 σ −σ  τ =   ( ) ( ) ( ) 32 1 23 I I I0 σ − σ + σ− = 1 xyz I σσσ =++ 222 2 x y x z y z xy yz zx I σσ τ = + + −−− 3 2 x y z xy yz zx x yz y zx z xy I τττ στ = + 3 1 3 3 2 2 2 9 27 cos3 2( 3 ) I II I θ −+ = 1 cos 3 ii I r σθ = ⋅+ 2 2 3 3 r = ⋅− ( ) 22 io o i oo 2 t oi r rr p p pr pr for r rr for ⋅−⋅± −σ ( )( ) ( ) 2 2 22 2 r RRr E p R 2R r r −− ⋅δ = 2 cr 2 C EA P k ⋅π ⋅ ⋅ = I k A = 3 i 0.45 D 0.001 D = D DD = ( ) ITn IT6 K 10 1.6 = T Ki = ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 22 1/2 2 31 x y y z z x xy yz zx 1 6 2 2 + σ −σ = + τ  b bm k C kk = + bi F F CP = +⋅ mi F F (1 C) P = −+− ⋅ for m F0 < i n 2 1 TA r F Ar ⋅⋅ ′′ = Tr J 2 n 2 i 1 L JA r 12 = 3 8FD K d s
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This note was uploaded on 10/25/2010 for the course MECHINCAL 2010 taught by Professor علاءحجازي during the Spring '10 term at Hashemite University.

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Formula Sheet - NAME SURNAME ID UPDATED ON ME 307 FORMULAS YOU ARE NOT ALLOWED TO WRITE ANYTHING ON THESE SHEETS E x(1 E y z x = 1 2 2 E y(1 E x z

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