Problem 2:At a point in an elastic material, there are two mutually perpendicular planes, one of which carriesa direct (normal) tensile stress of 50 N/mm²2 and a shear stress of 40 N/mm². The other plane issubjected to a direct (normal) compressive stress of 35 N/mm² and a complementary shear stressof 40 N/mm².(a) Draw a figure showing the given state of stress.(b) Calculate the values of the normal and shear stresses on a plane that is rotated by 45°counterclockwise with respect to the original plane. Do this using force equilibrium directly(do not use the 2D stress transformation equations).(c) Determine the principal stresses and the maximum shear stress, and the orientation of theplanes on which they act (i.e., state the angles that these planes make with respect to the originalplane). You may use the 2D principal stress equations.(d) Determine the orientation of the planes where there is no normal stress. What happens to theshear stress on the planes where there is no normal stress? Find these values of shear stress.

The principal plane position θp=21.263° The shear plane position…

Answered: Problem 2: At a point in an elastic…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.19P: At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with...

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