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The stress components near a circular hole under remote uniaxial tension are given in equations (3.55a, b, c), on p 156. (a) Carry out
The stress components near a circular hole under remote uniaxial tension are given in equations (3.55a, b, c), on p 156. (a) Carry out the details to derive these equations from equations (h) on p 155. (b) Using equations (3.55) determine the stress components near the hole for a remote 00 0 hydrostatic stress: 0 (c) Using equations (3.55) determine the stress components for remote pure 0 To (d) Calculate the stress concentration factors for cases (b) and (c). shear stress: 3.55 , = [(1-2) + (1 + 3-4) cos 300 cos 20 2 0.-10. [(1+)-(1+30) cos 20] = Tre --30%, (1-3 +24) sin 20 = o, =c(1 + 2 In r) +20 +- (2cs +7+) cos h) cos 20 o =c(3 + 2 In r) +2c-7 - (205 Tre= 2cs + 6cr- - 6c7 4 -/+ (2c + 12cr + 6) cos 20 + (2 2c8 - sin 20
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