Question

Problem 6: Given the stress element below: 1. Draw Mohr Circle for the stress element shown below. Use proper scale and draw neatly. 2. Show and label the principal and max shear stress on the circle. 3. On the Mohr circle indicate the angles form the X-axis of Mohr circle to the oi axis and Tmax axis. 4. Draw stress elements for initial, principal, maximum shear in their proper orientation. Mark all points on Mohr Circle and corresponding points on stress elements with A, B, C, D, E and F. 200 MPa (T) Х -100 MPa (CCW) B -150 MPa (C) Ae

Answer 1

200r ry 7 - $0 + T Tman JE 150 T ce leo 59 | 6 66 + 0.3C r 2-30 --500 loe 150 -280. Hiso -100 -250 -50 leo 150 -200 2 C = (01 +5y,o) (25,9) 0 = (0,0) Radius = V(Ex-57) + 2? 3 = 201.55

origin 0,0) steps • consider n-anis as normal stress anis and marks on and ro ordinate of ta-100 ry on rx and • Draw co-ordinate 6t ordinate and consider join tip of T-co- it diameter of Mohr's circle- Radius = /15 - or + t = 201.55

odi and be are circle cuts cuts t-anis principle anis where Tman is value on T-anis juest above cente e 6 = 25+8 226.55 mpa =-176.55 MPa J2 -13-25) Tmau = = 7 = 201.55 mPa.