Shear Strain Calculator

Calculate Shear Strain





Formula

The formula to calculate Shear Strain is:

\[ \gamma = \tan(\phi) + \cot(\phi - \alpha) \]

Definition

Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress. Shear Angle Metal is the inclination of the shear plane with the horizontal axis at the machining point. Rake Angle is the angle of orientation of the tool’s rake surface from the reference plane and is measured on the machine longitudinal plane.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \gamma = \tan(0.808087443673223) + \cot(0.808087443673223 - 0.149400183970687) \approx 2.33842388392556 \]

The Shear Strain is approximately 2.33842388392556.

Conversion Chart

Shear Angle Metal (Radian) Rake Angle (Radian) Shear Strain
0.7 0.1 2.303984327541
0.7 0.11 2.335816224577
0.7 0.12 2.368613407088
0.7 0.13 2.402427325393
0.7 0.14 2.437313089933
0.7 0.15 2.473329804229
0.7 0.16 2.510540934823
0.7 0.17 2.549014723098
0.7 0.18 2.588824644608
0.7 0.19 2.630049922441
0.71 0.1 2.290309910327
0.71 0.11 2.321224612295
0.71 0.12 2.353056509331
0.71 0.13 2.385853691842
0.71 0.14 2.419667610147
0.71 0.15 2.454553374687
0.71 0.16 2.490570088983
0.71 0.17 2.527781219577
0.71 0.18 2.566255007852
0.71 0.19 2.606064929362
0.72 0.1 2.277806636425
0.72 0.11 2.307849144985
0.72 0.12 2.338763846953
0.72 0.13 2.370595743989
0.72 0.14 2.403392926500
0.72 0.15 2.437206844805
0.72 0.16 2.472092609345
0.72 0.17 2.508109323641
0.72 0.18 2.545320454235
0.72 0.19 2.583794242510
0.73 0.1 2.266443792391
0.73 0.11 2.295656265796
0.73 0.12 2.325698774356
0.73 0.13 2.356613476324
0.73 0.14 2.388445373360
0.73 0.15 2.421242555871
0.73 0.16 2.455056474176
0.73 0.17 2.489942238716
0.73 0.18 2.525958953012
0.73 0.19 2.563170083606
0.74 0.1 2.256193820967
0.74 0.11 2.284615796420
0.74 0.12 2.313828269825
0.74 0.13 2.343870778384
0.74 0.14 2.374785480352
0.74 0.15 2.406617377389
0.74 0.16 2.439414559900
0.74 0.17 2.473228478204
0.74 0.18 2.508114242745
0.74 0.19 2.544130957041
0.75 0.1 2.247032152160
0.75 0.11 2.274700747637
0.75 0.12 2.303122723089
0.75 0.13 2.332335196495
0.75 0.14 2.362377705054
0.75 0.15 2.393292407022
0.75 0.16 2.425124304058
0.75 0.17 2.457921486569
0.75 0.18 2.491735404874
0.75 0.19 2.526621169414
0.76 0.1 2.238937055083
0.76 0.11 2.265887152825
0.76 0.12 2.293555748301
0.76 0.13 2.321977723754
0.76 0.14 2.351190197159
0.76 0.15 2.381232705719
0.76 0.16 2.412147407687
0.76 0.17 2.443979304723
0.76 0.18 2.476776487234
0.76 0.19 2.510590405539
0.77 0.1 2.231889508863
0.77 0.11 2.258153922436
0.77 0.12 2.285104020177
0.77 0.13 2.312772615654
0.77 0.14 2.341194591107
0.77 0.15 2.370407064512
0.77 0.16 2.400449573071
0.77 0.17 2.431364275040
0.77 0.18 2.463196172076
0.77 0.19 2.495993354587
0.78 0.1 2.225873091155
0.78 0.11 2.251482717779
0.78 0.12 2.277747131351
0.78 0.13 2.304697229093
0.78 0.14 2.332365824569
0.78 0.15 2.360787800022
0.78 0.16 2.390000273427
0.78 0.17 2.420042781986
0.78 0.18 2.450957483955
0.78 0.19 2.482789380991
0.79 0.1 2.220873883027
0.79 0.11 2.245857842661
0.79 0.12 2.271467469285
0.79 0.13 2.297731882857
0.79 0.14 2.324681980599
0.79 0.15 2.352350576075
0.79 0.16 2.380772551528
0.79 0.17 2.409985024933
0.79 0.18 2.440027533493
0.79 0.19 2.470942235461
0.8 0.1 2.216880389177
0.8 0.11 2.241266151694
0.8 0.12 2.266250111329
0.8 0.13 2.291859737952
0.8 0.14 2.318124151525
0.8 0.15 2.345074249266
0.8 0.16 2.372742844743
0.8 0.17 2.401164820196
0.8 0.18 2.430377293601
0.8 0.19 2.460419802160
0.81 0.1 2.213883472620
0.81 0.11 2.237696974236
0.81 0.12 2.262082736753
0.81 0.13 2.287066696387
0.81 0.14 2.312676323011
0.81 0.15 2.338940736583
0.81 0.16 2.365890834325
0.81 0.17 2.393559429801
0.81 0.18 2.421981405254
0.81 0.19 2.451193878659
0.82 0.1 2.211876303147
0.82 0.11 2.235142053152
0.82 0.12 2.258955554768
0.82 0.13 2.283341317285
0.82 0.14 2.308325276920
0.82 0.15 2.333934903543
0.82 0.16 2.360199317116
0.82 0.17 2.387149414857
0.82 0.18 2.414818010334
0.82 0.19 2.443239985786
0.83 0.1 2.210854319013
0.83 0.11 2.233595497747
0.83 0.12 2.256861247752
0.83 0.13 2.280674749368
0.83 0.14 2.305060511885
0.83 0.15 2.330044471519
0.83 0.16 2.355654098143
0.83 0.17 2.381918511716
0.83 0.18 2.408868609457
0.83 0.19 2.436537204934
0.84 0.1 2.210815201457
0.84 0.11 2.233053750333
0.84 0.12 2.255794929067
0.84 0.13 2.279060679073
0.84 0.14 2.302874180688
0.84 0.15 2.327259943206
0.84 0.16 2.352243902840
0.84 0.17 2.377853529463
0.84 0.18 2.404117943036
0.84 0.19 2.431068040777
0.85 0.1 2.211758861778
0.85 0.11 2.233515566124
0.85 0.12 2.255754115000
0.85 0.13 2.278495293734
0.85 0.14 2.301761043740
0.85 0.15 2.325574545355
0.85 0.16 2.349960307872
0.85 0.17 2.374944267507
0.85 0.18 2.400553894130
0.85 0.19 2.426818307703
0.86 0.1 2.213687440843
0.86 0.11 2.234982006198
0.86 0.12 2.256738710544
0.86 0.13 2.278977259420
0.86 0.14 2.301718438154
0.86 0.15 2.324984188160
0.86 0.16 2.348797689775
0.86 0.17 2.373183452293
0.86 0.18 2.398167411927
0.86 0.19 2.423777038550
0.87 0.1 2.216605321015
0.87 0.11 2.237456443495
0.87 0.12 2.258751008850
0.87 0.13 2.280507713196
0.87 0.14 2.302746262073
0.87 0.15 2.325487440807
0.87 0.16 2.348753190812
0.87 0.17 2.372566692427
0.87 0.18 2.396952454945
0.87 0.19 2.421936414579
0.88 0.1 2.220519150626
0.88 0.11 2.240944581883
0.88 0.12 2.261795704364
0.88 0.13 2.283090269719
0.88 0.14 2.304846974064
0.88 0.15 2.327085522941
0.88 0.16 2.349826701675
0.88 0.17 2.373092451681
0.88 0.18 2.396905953296
0.88 0.19 2.421291715813
0.89 0.1 2.225437881257
0.89 0.11 2.245454488506
0.89 0.12 2.265879919763
0.89 0.13 2.286731042244
0.89 0.14 2.308025607598
0.89 0.15 2.329782311944
0.89 0.16 2.352020860821
0.89 0.17 2.374762039555
0.89 0.18 2.398027789560
0.89 0.19 2.421841291176
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