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Q3. The generalised state of strain at a point can be represented by the strain tensor: [a b c] d e fx10-6 lg h i 19 (a) Write the strain components Using a condition of plane strain in xz (i.e. set all other strains to zero): (b) Determine the principal strains and direction of the principal axes (c) Determine the maximum in-plane shear strain and direction of its axes (d) Sketch on properly orientated elements: 1. The original state of strain 2. The principal strains 3. The maximum in-plane shear strain [14 [19 [8 19 [14 Refer to your group number in the lookup table for the strain values a-i. 103: 73 a h Group 1 2 3 3 4 5 6 7 8 9 10 11 269 200 196 268 245 226 294 270 218 148 151 289 79 198 54 277 265 200 195 14 244 36 b -24 -17 -15 - 19 -13 -17 -26 -34 -5 -25 -19 -15 -19 -27 -24 -21 -8 -27 -14 -18 -22 -28 с 39 25 42 32 39 43 31 37 44 22 50 64 50 37 44 30 59 49 48 31 43 34 Q3 Lookup Table Data by Group d f -24 308 -59 -17 205 -65 -15 341 -64 -19 368 -53 -13 386 -75 -17 231 41 -26 345 -52 -34 310 40 -5 383 46 -25 354 43 -19 390 -72 -15 287 -65 -19 285 -57 -27 401 48 -24 88 -33 -21 250 -54 -8 173 -31 -27 262 43 -14 365 -32 -18 383 48 -22 199 -60 -28 253 -72 g 39 25 42 32 39 43 31 37 44 22 50 64 50 37 44 30 59 49 48 31 43 34 -59 -65 -64 -53 -75 41 -52 40 46 43 -72 -65 -57 48 -33 -54 -31 43 -32 48 -60 -72 i -168 -132 - 126 -206 -161 -278 -81 - 188 -222 - 165 -236 -151 -184 -19 -82 -300 -124 -234 - 165 - 140 -105 - 166 12 13 14 15 16 17 18 19 20 21 22