The state of stress on an element is shown in following figure. i) Determine the stresses acting on an element oriented at a counterclockwise angle of 48° from the horizontal. Show these stresses on a properly oriented element. ii) Determine the principal stresses and the principal angle. Show these stresses on a properly oriented element. iii) Determine the maximum shear stress, angle for maximum shear stress and normal stresses when maximum shear stress exists. Show these stresses on a properly oriented element. 140 MPa A 42 MPa 60 MPa

The state of stress on an element is shown in following figure. i) Determine the stresses acting on an element oriented at a counterclockwise angle of 48° from the horizontal. Show these stresses on a properly oriented element. ii) Determine the principal stresses and the principal angle. Show these stresses on a properly oriented element. iii) Determine the maximum shear stress, angle for maximum shear stress and normal stresses when maximum shear stress exists. Show these stresses on a properly oriented element. 140 MPa A 42 MPa 60 MPa

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

See similar textbooks

Related questions

Q: Learning Goal: To determine the principal stresses that act on an element and to construct Mohr's…

A: Step 1:the principal stress varies from 3d to 2d state as we we are applying additional stress in…

Q: QJThe state of plane stress at a point is represented by the stress element below: A. Draw the…

A: Given Data: σx=70 Mpaσy=65 Mpaτxy=35 Mpa

Q: Part B The state of stress at a point is shown on the element. Take σ₂ = -15 ksi. Determine the…

A: For the solution refer below images.

Q: The stresses shown below act on horizontal and vertical planes through a point on the surface of a…

Q: 4 ksi The state of plane stress at a point is shown on the element. (a) Draw Mohr's circle neatly to…

Q: Determine approximately the principal stresses of a point whose stress states are shown below.…

A: In the above stress diagrams, are not given with values so considered 0.

Q: Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is…

Q: The state of plane stress in a structural element is indicated by the stress element in figure B1.…

Q: Determine the equivalent state of stress if an element is oriented 60° clockwise from the element…

Q: Question 3 Based on the diagram below a) Find the internal forces of A, B & C. 950 тm 045 тm Ø30mm F…

A: First we need to calculate the reaction from the wall by balancing all the forces. Sum of all the…

Q: Suppose that σx = 42 MPa . A) Determine the orientation of principal planes of stress. B)…

A: σx = 42 MPaσy = 0 MPa (from the given figure)

Q: force Q of magnitude 9 kips is applied to the machine element AB as shown. The uniform thickness of…

Q: -60* At a point in a stressed body, the stresses on two perpen- dicular planes are as shown in Fig.…

Q: The rod has a diameter of 40 mm. It is subjected to the force system Fx=1100 N, Fy=500 N, Fz=900 N.…

A: The forces are The diameter od rod is The torque is

Q: The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and…

A: Given:- σx=70 MN/m2σy=50 MN/m2τxy=30MN/m2θ=30° To find:- The magnitude of the normal, tangential,…

Q: The state of stress at a point is shown on the element. Determine (a) the principal stress and (b)…

A: (a) Write stresses that are shown in the element. σx=240 MPaσy=100 MPaτxy=80 MPa

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Figure 4)…

Q: A set of stresses applied on the 50-mm x 50-mm ABCD plate cause the plate to deform as shown where…

Q: e state of stress at a point in a member is shown on the rectangular stress element in (Figure 4)…

Q: 4) The state of plane stress at a point is described by Or = Oy = o and Tæy =0. The stress on the…

A: given data σx = σy = σ, ζxy = 0 to determine stress on the plane inclines at 45 to x plane

Q: The state of stress at a point in a structural member may be represented by a two-dimensional stress…

A: Given:To find:Direct stress at the required plane and the principal stresses.

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

Q: The state of plane stress at a point is uniquely represented by three components acting on an…

A: Analyze the given statement and mention the true or false.

Q: Question 2 For the stresses of plane stress state is ox = -8 MPa , Oy = 7 MPa and Txy = -6 MPa Draw…

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

1) The state of stress on an element is shown in following figure.
i) Determine the stresses acting on an element oriented at a counterclockwise angle of
48° from the horizontal. Show these stresses on a properly oriented element.
ii) Determine the principal stresses and the principal angle. Show these stresses on a
properly oriented element.
iii) Determine the maximum shear stress, angle for maximum shear stress and normal
stresses when maximum shear stress exists. Show these stresses on a properly
oriented element.
140 MPa
A
42 MPa
60 MPa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Draw For the state of plane stress shown below, determine the principal stresses, the maximum in- plane shear stress and the average normal stress; and show the stresses on properly oriented elements. 413 ks - 1.8 ksi 灣彩

مقاومة المواد
5. consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Determine the principal stresses acting at the point. Show these stresses on an appropriate sketch 66 MPa 114 MPa 90 MPa
At a point on the surface of a pressurized cylinder, the material element is subjected to stresses; σx = 60 MPa, σy = - 40 MPa, and τxy = - 30 MPa. Construct Mohr’s circle, then use it to determine the following: Do not use the equations of transformations.1- The principal stresses and the maximum shear stress.2- Show these stresses on sketches of properly stress elements.3- A point on the circle where the element is only subjected to pure shear stress. Calculate the value of that pure shear stress.
Please don't provide handwritten solution .....
Determine the average normal stress at points A, B, and C. The diameter of each segment is indicated in the figure.
Problem 2. A material element in plane stress is subjected to stresses: Ox = -5000 psi Oy Txy = -3000 psi - 2000 psi а) Using Mohr's Circle, determine the stresses on an element oriented at an angle 0 = 60° counterclockwise from the x axis. b) Show these stresses on a sketch of an element oriented at the angle 0.
please help me with this question i got someone else to help me and they got the wrong answer now i only have one attempt please help me get the right answer thank you
The reference state of stress shown in the element sketch below results in the Mohr’s circle plot indicated. For this element, as described below, determine:a)The principal stresses.b)The principal directions (angles to the principal planes).c)The maximum in-plane shear stress.d)Is the maximum in-plane shear stress the absolute maximum shear stress?
The rod has a diameter of 40 mm. (Figure 1) It is subjected to the force system F₂ = 1410 N, Fy = 635 N, F₂ - 820 N. Figure F F 300 mm 100 N-m F. 100 mm B 1 of 1 Determine the normal stress that acts at point B. Express your answer to three significant figures and include appropriate units. ов - Submit Part B (TB)zy μA Submit Value Request Answer Determine the shear stress Try that acts at point B. Express your answer to three significant figures and include appropriate units. BLA Value Request Answer Units ļ 20011 Units COOL ? HEIT
This is my ID :201903062
A force F of 40000 lbf is applied to rod AC the negative Y-direction. The rod is 1000 inches tall. A Force P of 25 lbf is applied in the negative Z- direction at point E, and a force R of 75 lbf is applied in the negative Z-direction at point F. Rod AC has a diameter of 1 inch from A to C, a diameter of 1.5 inches from B to C, and all fillet radii are 0.25 in. The rod is made of 1020 CD steel, and has a Sy of 135 ksi, a Sut of 150 ksi, and an ɛf = 0.15. Y A 100 100 200 800 B. „D D. 100 2D view of rod AC in XY plane