anonymous 3 years ago what is the relation between angle twist and shear angle referring TORSION ps in geometric terms

1. anonymous

|dw:1345033703457:dw| gamma is shear angle n theta is angle of twist assume length l , radius r

2. anonymous

|dw:1345034037914:dw|

3. anonymous

angular displacement bb' = $2 (\pi / \theta) r$ (for circle) anglular dispalcement= $2 (\pi / \alpha) l$ for lenght if both distance are equal then put both equal we get $(\pi / \theta) r = (\pi/\alpha) l$ $r/ \theta =l/ \alpha$