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COEFFICIENT b =1/t(3B i /3+B i ) 1/2│ b =31.1 @ B i =0.1 FLEXURAL RIGIDITY D=Et 3 /12(1-υ 2 ) D=19322.3N-m STRESS DECAY COEFFICIENT β=(3(1-υ 2 )) 1/4 /(Rt) 1/2 β=4.06 COEFFICIENT m=(b/ β) 4 /4+(b/ β) 4 m=0.998 COEFFICIENT n=(b/ β) 2 /4+(b/ β) 4 n=0.17 DIMENSIONLESS AXIAL BENDING STRESS S zb (z)=σ zb (z)/EαΔT=(3) 1/2 /(1-υ 2 ) 1/2 ×n/bL ×(e -b│z│ -e -b│z-L│ ) +(3) 1/2 /4(1- υ 2 ) 1/2 ×

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COEFFICIENTb =1/t(3Bi/3+Bi)1/2b =31.1 @ Bi=0.1FLEXURAL RIGIDITYD=Et3/12(1-2)D=19322.3N-m

STRESS DECAY COEFFICIENT=(3(1-2))1/4/(Rt)1/2=4.06

COEFFICIENTm=(b/ )4/4+(b/ )4m=0.998COEFFICIENTn=(b/ )2/4+(b/ )4n=0.17DIMENSIONLESS AXIAL BENDING STRESSSzb(z)=zb(z)/ET=(3)1/2/(1-2)1/2n/bL (e-bz-e-bz-L)+(3)1/2/4(1- 2)1/2 = m/L[e-zsin)(z)+ezcos(z) - = - e-z-Lsin(z-L)-e-z-Lcos(z-L) =+(3)1/2/2(1-2)n/L[e-zsin(z)- = e-zcos(z)-e-z-Lsin(z-L)-e-z-Lcos(z)] Szb(z)=zb(z)/ET=1.0710-12 @z=5DIMENSONLESS CIRCUMFERENTIAL MEMBRANE STRESSShm(z)=zb(z)/ET=-m/2bL(e-bz-e-bz-L)-m/4L[e-zsin(z- = e-zcos(z)-e-z-Lsin(z-L)+ e-z-Lcos(z-L)] =+n/2L[ e-zsin(z+ = e-zcos(z)-e-z-Lsin(z-L) - e-z-Lcos(z-L)]Shm(z)=zb(z)/ET =2.9710-12DIMENSIONLESS CIRCUMFERENTIAL BENDING STRESSShb(z)=hb(z)/ET=Szb(z)Shb(z)=hb(z)/ET=3.2110-12