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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

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

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