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(01 May 2006) FITNET MK7Longitudinal <strong>Residual</strong> <strong>Stress</strong>L ⎛ z ⎞σR⎜ ⎟ = σ⎝ t ⎠yw⎧⎨⎩⎡3π⎛ 7⎢ ⎜⎣ 2 ⎝ 6z ⎞⎤⎟t⎥⎠⎦( 0.65−δ) sin − + ( 0.35+δ)zwhere = fractional distance through thickness from bore of pipetδ = 4.79x10−3Q ~⎫⎬⎭valid for 10 J/mm 2 < Q ~ < 136 J/mm 2Transverse <strong>Residual</strong> <strong>Stress</strong>T ⎛ z ⎞σR⎜ ⎟ = σ⎝ t ⎠yp⎪⎧⎛ z ⎞ ⎡π⎛ z ⎞⎤⎨φ⎜1− 2 ⎟ + θsin⎢⎜1− 8 ⎟⎥−⎪⎩ ⎝ t ⎠ ⎣4⎝ t ⎠⎦tR⎡ 2 φ⎤⎪⎫⎢ θ − ⎥⎬⎣ 4π 6⎦⎪⎭zwhere = fractional distance through-thickness from bore of pipe,tθ = Q ~ ( −1.25x10φ = 8.4 × 10−3Q ~+ 5.42x10Q ~− 8.67 × 10Q ~ + 5.11×10−8 3−62−4−2Q ~ − 0.34)for 10 J/mm 2 < Q ~ < 160 J/mm 2© FITNET 2006 – All rights reserved <strong>Annex</strong> C.35