A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown.Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P; = 11 kN.(a) Determine the normal and shear stresses on the top surface of the pipe at point H.(b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of thesestresses on an appropriate sketch.aP:PHK (b) On a piece of paper, sketch the x-z stress state and the properly oriented principal stress state. Use the resulting sketch toanswer the questions in subsequent parts of this GO exercise.(a) The angle -25.73° locates a principal stress plane. Give the stress value including sign if any.(b) The angle 64.27° locates the other principal stress plane. Give the stress value including sign if any.(c) What stress or stresses occur on a plane at 19.27°? Give the stress value or values including sign if any.Answers:(a) o = iMРа,(b) o = iMPa,(c) σ-MPa, T =iMPа.

Now we have the moment equation asMx=16×510-11×230=5630kN.mm=5.63kN.mMy=-20×510=-10200 kN.mm=-10.2…

A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P, = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a P. P H K b

A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P, = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a P. P H K b

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 7.4.24P: through 7.4-25 An clement in plane stress is subjected to stresses sx,??y,and txy. (see figure)....

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