Given an element with stresses as indicated in figure below, find the following: a) The maximum and minimum principal stresses b) The maximum shear stress, and the average normal stress c) The inclination of the element in each case.

Given an element with stresses as indicated in figure below, find the following: a) The maximum and minimum principal stresses b) The maximum shear stress, and the average normal stress c) The inclination of the element in each case.

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter2: Matter And Energy

Section: Chapter Questions

Problem 27RQ: How many Btu/h would be produced in a 12-kW electricheater?

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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

Given an element with stresses as indicated in figure below, find the following:

a) The maximum and minimum principal stresses

b) The maximum shear stress, and the average normal stress

c) The inclination of the element in each case.

d) Use Mohr's Circle (Graphical Solution) to prove your answers.

e) Determine also the stress components acting on the inclined plane AB using method of equilibrium.

ANSWER ALL FOR UPVOTE
IF DONT WANT UPVOTE ONLY ANSWER A B C

20
A
35
50°
100 kPa
100 kPa
20 kPa
35 kPa
B
Horizontal

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